Boroomand, Bijan; Niknejadi, Nafiseh Adaptive quadrature/cubature rule: application to polytopes. (English) Zbl 07644188 Comput. Methods Appl. Mech. Eng. 403, Part A, Article ID 115726, 25 p. (2023). MSC: 65-XX 93-XX PDFBibTeX XMLCite \textit{B. Boroomand} and \textit{N. Niknejadi}, Comput. Methods Appl. Mech. Eng. 403, Part A, Article ID 115726, 25 p. (2023; Zbl 07644188) Full Text: DOI
Zhang, Jian; Aragón, Alejandro M. An improved stress recovery technique for the unfitted finite element analysis of discontinuous gradient fields. (English) Zbl 07767240 Int. J. Numer. Methods Eng. 123, No. 3, 639-663 (2022). MSC: 74S05 74B05 74E05 74K20 PDFBibTeX XMLCite \textit{J. Zhang} and \textit{A. M. Aragón}, Int. J. Numer. Methods Eng. 123, No. 3, 639--663 (2022; Zbl 07767240) Full Text: DOI OA License
Wang, Yuxiao; Javadi, Akbar A.; Fidelibus, Corrado Analysis of interaction of multiple cracks based on tip stress field using extended finite element method. (English) Zbl 1517.74084 J. Appl. Math. 2022, Article ID 1010174, 15 p. (2022). MSC: 74S05 74R10 PDFBibTeX XMLCite \textit{Y. Wang} et al., J. Appl. Math. 2022, Article ID 1010174, 15 p. (2022; Zbl 1517.74084) Full Text: DOI
Hu, Xiaofei; Li, Jiaxi; Chen, Weihua; Bui, Tinh Quoc; Yao, Weian A precise time-domain expanding crack-tip element for 3D planar and axial dynamic cracks. (English) Zbl 07539551 Int. J. Comput. Methods 19, No. 3, Article ID 2150071, 30 p. (2022). MSC: 74-XX 65-XX PDFBibTeX XMLCite \textit{X. Hu} et al., Int. J. Comput. Methods 19, No. 3, Article ID 2150071, 30 p. (2022; Zbl 07539551) Full Text: DOI
Li, Hong; Cui, Cu; Zhang, Qinghui Stable generalized finite element methods (SGFEM) for interfacial crack problems in bi-materials. (English) Zbl 1521.74226 Eng. Anal. Bound. Elem. 138, 83-94 (2022). MSC: 74S05 65N30 74R10 PDFBibTeX XMLCite \textit{H. Li} et al., Eng. Anal. Bound. Elem. 138, 83--94 (2022; Zbl 1521.74226) Full Text: DOI
Andrade, H. C.; Trevelyan, J.; Leonel, E. D. A NURBS-discontinuous and enriched isogeometric boundary element formulation for two-dimensional fatigue crack growth. (English) Zbl 1521.74288 Eng. Anal. Bound. Elem. 134, 259-281 (2022). MSC: 74S15 65N38 65D07 74R10 74S22 PDFBibTeX XMLCite \textit{H. C. Andrade} et al., Eng. Anal. Bound. Elem. 134, 259--281 (2022; Zbl 1521.74288) Full Text: DOI
Ankit, Ankit A sideface traction approach for cohesive and frictional crack growth problems using SBFEM. (English) Zbl 1507.74444 Comput. Methods Appl. Mech. Eng. 386, Article ID 114076, 26 p. (2021). MSC: 74S05 74R10 PDFBibTeX XMLCite \textit{A. Ankit}, Comput. Methods Appl. Mech. Eng. 386, Article ID 114076, 26 p. (2021; Zbl 1507.74444) Full Text: DOI
Hou, Wenbin; Jiang, Kai; Zhu, Xuefeng; Shen, Yuanxing; Hu, Ping Extended isogeometric analysis using B++ splines for strong discontinuous problems. (English) Zbl 1506.65213 Comput. Methods Appl. Mech. Eng. 381, Article ID 113779, 26 p. (2021). MSC: 65N30 65D07 PDFBibTeX XMLCite \textit{W. Hou} et al., Comput. Methods Appl. Mech. Eng. 381, Article ID 113779, 26 p. (2021; Zbl 1506.65213) Full Text: DOI
Zhou, Xiao-Ping; Wang, Long-Fei Investigating propagation path of interface crack by the field-enriched finite element method. (English) Zbl 1481.74706 Appl. Math. Modelling 99, 81-105 (2021). MSC: 74S05 74R10 PDFBibTeX XMLCite \textit{X.-P. Zhou} and \textit{L.-F. Wang}, Appl. Math. Modelling 99, 81--105 (2021; Zbl 1481.74706) Full Text: DOI
Zhou, Guang-lei; Xu, Tao; Zhu, Wan-cheng; Konietzky, Heinz; Heng, Zhen; Yu, Xianyang A damage-based numerical manifold approach to crack propagation in rocks. (English) Zbl 1464.74116 Eng. Anal. Bound. Elem. 117, 76-88 (2020). MSC: 74L10 74R10 86A60 74S99 PDFBibTeX XMLCite \textit{G.-l. Zhou} et al., Eng. Anal. Bound. Elem. 117, 76--88 (2020; Zbl 1464.74116) Full Text: DOI
Huynh, Hai D.; Zhuang, X.; Nguyen-Xuan, H. A polytree-based adaptive scheme for modeling linear fracture mechanics using a coupled XFEM-SBFEM approach. (English) Zbl 1464.74181 Eng. Anal. Bound. Elem. 115, 72-85 (2020). MSC: 74S05 65N30 65N50 74R10 PDFBibTeX XMLCite \textit{H. D. Huynh} et al., Eng. Anal. Bound. Elem. 115, 72--85 (2020; Zbl 1464.74181) Full Text: DOI
Nguyen, Thanh-Tung; Waldmann, Danièle; Bui, Tinh Quoc Role of interfacial transition zone in phase field modeling of fracture in layered heterogeneous structures. (English) Zbl 1452.74111 J. Comput. Phys. 386, 585-610 (2019). MSC: 74S05 74R10 74E30 65N30 PDFBibTeX XMLCite \textit{T.-T. Nguyen} et al., J. Comput. Phys. 386, 585--610 (2019; Zbl 1452.74111) Full Text: DOI Link
Bulling, Jannis; Gravenkamp, Hauke; Birk, Carolin A high-order finite element technique with automatic treatment of stress singularities by semi-analytical enrichment. (English) Zbl 1441.74232 Comput. Methods Appl. Mech. Eng. 355, 135-156 (2019). MSC: 74S05 65N30 74G70 PDFBibTeX XMLCite \textit{J. Bulling} et al., Comput. Methods Appl. Mech. Eng. 355, 135--156 (2019; Zbl 1441.74232) Full Text: DOI
Wilson, Mark A.; Grutzik, Scott J.; Chandross, Michael Continuum stress intensity factors from atomistic fracture simulations. (English) Zbl 1441.74012 Comput. Methods Appl. Mech. Eng. 354, 732-749 (2019). MSC: 74A25 74R10 PDFBibTeX XMLCite \textit{M. A. Wilson} et al., Comput. Methods Appl. Mech. Eng. 354, 732--749 (2019; Zbl 1441.74012) Full Text: DOI Link
Huo, S. H.; Li, Y. S.; Duan, S. Y.; Han, X.; Liu, G. R. Novel quadtree algorithm for adaptive analysis based on cell-based smoothed finite element method. (English) Zbl 1464.74180 Eng. Anal. Bound. Elem. 106, 541-554 (2019). MSC: 74S05 65N30 65N50 PDFBibTeX XMLCite \textit{S. H. Huo} et al., Eng. Anal. Bound. Elem. 106, 541--554 (2019; Zbl 1464.74180) Full Text: DOI
Oliveira, T.; Portela, A. A local mesh free method with the singularity subtraction technique. (English) Zbl 1464.74407 Eng. Anal. Bound. Elem. 104, 148-159 (2019). MSC: 74S99 65N99 74A45 74B05 PDFBibTeX XMLCite \textit{T. Oliveira} and \textit{A. Portela}, Eng. Anal. Bound. Elem. 104, 148--159 (2019; Zbl 1464.74407) Full Text: DOI
Oliveira, T.; Vélez, W.; Santana, E.; Araújo, T.; Mendonça, F.; Portela, A. A local mesh free method for linear elasticity and fracture mechanics. (English) Zbl 1464.74408 Eng. Anal. Bound. Elem. 101, 221-242 (2019). MSC: 74S99 65N35 74B05 74R10 PDFBibTeX XMLCite \textit{T. Oliveira} et al., Eng. Anal. Bound. Elem. 101, 221--242 (2019; Zbl 1464.74408) Full Text: DOI
Lv, Jia-He; Jiao, Yu-Yong; Wriggers, Peter; Rabczuk, Timon; Feng, Xia-Ting; Tan, Fei Efficient integration of crack singularities in the extended finite element method: Duffy-distance transformation and conformal preconditioning strategy. (English) Zbl 1440.74424 Comput. Methods Appl. Mech. Eng. 340, 559-576 (2018). MSC: 74S05 65N30 74R10 PDFBibTeX XMLCite \textit{J.-H. Lv} et al., Comput. Methods Appl. Mech. Eng. 340, 559--576 (2018; Zbl 1440.74424) Full Text: DOI
Teng, Z. H.; Sun, F.; Wu, S. C.; Zhang, Z. B.; Chen, T.; Liao, D. M. An adaptively refined XFEM with virtual node polygonal elements for dynamic crack problems. (English) Zbl 1469.74108 Comput. Mech. 62, No. 5, 1087-1106 (2018). MSC: 74S05 74R10 74H35 PDFBibTeX XMLCite \textit{Z. H. Teng} et al., Comput. Mech. 62, No. 5, 1087--1106 (2018; Zbl 1469.74108) Full Text: DOI
Zhong, Hong; Li, Hongjun; Ooi, Ean Tat; Song, Chongmin Hydraulic fracture at the dam-foundation interface using the scaled boundary finite element method coupled with the cohesive crack model. (English) Zbl 1403.74060 Eng. Anal. Bound. Elem. 88, 41-53 (2018). MSC: 74L10 74S15 65N38 74R10 PDFBibTeX XMLCite \textit{H. Zhong} et al., Eng. Anal. Bound. Elem. 88, 41--53 (2018; Zbl 1403.74060) Full Text: DOI
Benvenuti, Elena An effective XFEM with equivalent eigenstrain for stress intensity factors of homogeneous plates. (English) Zbl 1439.74390 Comput. Methods Appl. Mech. Eng. 321, 427-454 (2017). MSC: 74S05 65N30 74A10 PDFBibTeX XMLCite \textit{E. Benvenuti}, Comput. Methods Appl. Mech. Eng. 321, 427--454 (2017; Zbl 1439.74390) Full Text: DOI Link
Hu, X. F.; Shen, Q. S.; Wang, J. N.; Yao, W. A.; Yang, S. T. A novel size independent symplectic analytical singular element for inclined crack terminating at bimaterial interface. (English) Zbl 1476.74134 Appl. Math. Modelling 50, 361-379 (2017). MSC: 74R10 74A50 PDFBibTeX XMLCite \textit{X. F. Hu} et al., Appl. Math. Modelling 50, 361--379 (2017; Zbl 1476.74134) Full Text: DOI Link
Woo, Kwang S.; Ahn, Jae S. \(p\)-adaptive refinement based on stress recovery technique considering ordinary Kriging interpolation in L-shaped domain. (English) Zbl 1426.74308 Math. Probl. Eng. 2017, Article ID 1790256, 10 p. (2017). MSC: 74S05 74A10 65N30 PDFBibTeX XMLCite \textit{K. S. Woo} and \textit{J. S. Ahn}, Math. Probl. Eng. 2017, Article ID 1790256, 10 p. (2017; Zbl 1426.74308) Full Text: DOI
Hong, Won-Tak A non-convex partition of unity and stress analysis of a cracked elastic medium. (English) Zbl 1446.74071 Adv. Math. Phys. 2017, Article ID 9574341, 9 p. (2017). MSC: 74A10 74B05 PDFBibTeX XMLCite \textit{W.-T. Hong}, Adv. Math. Phys. 2017, Article ID 9574341, 9 p. (2017; Zbl 1446.74071) Full Text: DOI
Hu, Xiaofei; Bui, Tinh Quoc; Wang, Jining; Yao, Weian; Ton, Lan Hoang That; Singh, Indra Vir; Tanaka, Satoyuki A new cohesive crack tip symplectic analytical singular element involving plastic zone length for fatigue crack growth prediction under variable amplitude cyclic loading. (English) Zbl 1406.74589 Eur. J. Mech., A, Solids 65, 79-90 (2017). MSC: 74R10 74S05 PDFBibTeX XMLCite \textit{X. Hu} et al., Eur. J. Mech., A, Solids 65, 79--90 (2017; Zbl 1406.74589) Full Text: DOI
Nehar, K. C.; Hachi, B. E.; Cazes, F.; Haboussi, Mohamed Evaluation of stress intensity factors for bi-material interface cracks using displacement jump methods. (English) Zbl 1390.74025 Acta Mech. Sin. 33, No. 6, 1051-1064 (2017). MSC: 74A50 74A10 PDFBibTeX XMLCite \textit{K. C. Nehar} et al., Acta Mech. Sin. 33, No. 6, 1051--1064 (2017; Zbl 1390.74025) Full Text: DOI
Agathos, Konstantinos; Chatzi, Eleni; Bordas, Stéphane P. A. Stable 3D extended finite elements with higher order enrichment for accurate non planar fracture. (English) Zbl 1436.74064 Comput. Methods Appl. Mech. Eng. 306, 19-46 (2016). MSC: 74S05 74R10 65N30 74A45 PDFBibTeX XMLCite \textit{K. Agathos} et al., Comput. Methods Appl. Mech. Eng. 306, 19--46 (2016; Zbl 1436.74064) Full Text: DOI
Wang, Yongxiang; Waisman, Haim From diffuse damage to sharp cohesive cracks: a coupled XFEM framework for failure analysis of quasi-brittle materials. (English) Zbl 1425.74410 Comput. Methods Appl. Mech. Eng. 299, 57-89 (2016). MSC: 74R05 74S05 65N30 74R10 PDFBibTeX XMLCite \textit{Y. Wang} and \textit{H. Waisman}, Comput. Methods Appl. Mech. Eng. 299, 57--89 (2016; Zbl 1425.74410) Full Text: DOI
Liu, Zhijun; Zheng, Hong; Sun, Cong A domain decomposition based method for two-dimensional linear elastic fractures. (English) Zbl 1403.74117 Eng. Anal. Bound. Elem. 66, 34-48 (2016). MSC: 74S05 65N30 65N55 74B05 74R10 PDFBibTeX XMLCite \textit{Z. Liu} et al., Eng. Anal. Bound. Elem. 66, 34--48 (2016; Zbl 1403.74117) Full Text: DOI
Santana, E.; Portela, A. Dual boundary element analysis of fatigue crack growth, interaction and linkup. (English) Zbl 1403.74221 Eng. Anal. Bound. Elem. 64, 176-195 (2016). MSC: 74S15 74R10 65N38 PDFBibTeX XMLCite \textit{E. Santana} and \textit{A. Portela}, Eng. Anal. Bound. Elem. 64, 176--195 (2016; Zbl 1403.74221) Full Text: DOI
Yazdani, M.; Khaji, N.; Khodakarami, M. I. Development of a new semi-analytical method in fracture mechanics problems based on the energy release rate. (English) Zbl 1433.74016 Acta Mech. 227, No. 12, 3529-3547 (2016). MSC: 74A45 PDFBibTeX XMLCite \textit{M. Yazdani} et al., Acta Mech. 227, No. 12, 3529--3547 (2016; Zbl 1433.74016) Full Text: DOI
Cen, Song; Bao, Yi; Li, Chen-Feng Quasi-static crack propagation modeling using shape-free hybrid stress-function elements with drilling degrees of freedom. (English) Zbl 1359.74373 Int. J. Comput. Methods 13, No. 3, Article ID 1650014, 42 p. (2016). MSC: 74R10 74S05 65N30 PDFBibTeX XMLCite \textit{S. Cen} et al., Int. J. Comput. Methods 13, No. 3, Article ID 1650014, 42 p. (2016; Zbl 1359.74373) Full Text: DOI
Zhao, Jianping; Hou, Yanren; Song, Lina; Gui, Dongwei The stable extrinsic extended finite element method for second order elliptic equation with interfaces. (English) Zbl 1422.65423 Adv. Difference Equ. 2015, Paper No. 216, 12 p. (2015). MSC: 65N30 35J25 65N12 PDFBibTeX XMLCite \textit{J. Zhao} et al., Adv. Difference Equ. 2015, Paper No. 216, 12 p. (2015; Zbl 1422.65423) Full Text: DOI
Nadal, E.; Díez, P.; Ródenas, J. J.; Tur, M.; Fuenmayor, F. J. A recovery-explicit error estimator in energy norm for linear elasticity. (English) Zbl 1423.74909 Comput. Methods Appl. Mech. Eng. 287, 172-190 (2015). MSC: 74S05 65N30 65N15 74B05 PDFBibTeX XMLCite \textit{E. Nadal} et al., Comput. Methods Appl. Mech. Eng. 287, 172--190 (2015; Zbl 1423.74909) Full Text: DOI Link
Nguyen-Thanh, N.; Valizadeh, N.; Nguyen, M. N.; Nguyen-Xuan, H.; Zhuang, X.; Areias, P.; Zi, G.; Bazilevs, Y.; De Lorenzis, L.; Rabczuk, T. An extended isogeometric thin shell analysis based on Kirchhoff-love theory. (English) Zbl 1423.74811 Comput. Methods Appl. Mech. Eng. 284, 265-291 (2015). MSC: 74R05 65D17 65N30 74K25 PDFBibTeX XMLCite \textit{N. Nguyen-Thanh} et al., Comput. Methods Appl. Mech. Eng. 284, 265--291 (2015; Zbl 1423.74811) Full Text: DOI
Bhardwaj, G.; Singh, I. V.; Mishra, B. K. Stochastic fatigue crack growth simulation of interfacial crack in bi-layered FGMs using XIGA. (English) Zbl 1423.74808 Comput. Methods Appl. Mech. Eng. 284, 186-229 (2015). MSC: 74R05 65D17 65N30 74S05 PDFBibTeX XMLCite \textit{G. Bhardwaj} et al., Comput. Methods Appl. Mech. Eng. 284, 186--229 (2015; Zbl 1423.74808) Full Text: DOI
Serpieri, Roberto; Sacco, E.; Alfano, G. A thermodynamically consistent derivation of a frictional-damage cohesive-zone model with different mode I and mode II fracture energies. (English) Zbl 1406.74575 Eur. J. Mech., A, Solids 49, 13-25 (2015). MSC: 74R05 74A45 74A15 74S05 PDFBibTeX XMLCite \textit{R. Serpieri} et al., Eur. J. Mech., A, Solids 49, 13--25 (2015; Zbl 1406.74575) Full Text: DOI Link
Martin, A.; Esnault, J.-B.; Massin, P. About the use of standard integration schemes for X-FEM in solid mechanics plasticity. (English) Zbl 1423.74154 Comput. Methods Appl. Mech. Eng. 283, 551-572 (2015). MSC: 74C05 65N30 74S05 PDFBibTeX XMLCite \textit{A. Martin} et al., Comput. Methods Appl. Mech. Eng. 283, 551--572 (2015; Zbl 1423.74154) Full Text: DOI
Torres, Diego Amadeu F.; de Barcellos, Clovis S.; Mendonça, Paulo de Tarso R. Effects of the smoothness of partitions of unity on the quality of representation of singular enrichments for GFEM/XFEM stress approximations around brittle cracks. (English) Zbl 1423.74849 Comput. Methods Appl. Mech. Eng. 283, 243-279 (2015). MSC: 74R10 74S05 65N30 PDFBibTeX XMLCite \textit{D. A. F. Torres} et al., Comput. Methods Appl. Mech. Eng. 283, 243--279 (2015; Zbl 1423.74849) Full Text: DOI
Liu, Feng; Zheng, Hong; Du, Xiuli Hybrid analytical and MLS-based NMM for the determination of generalized stress intensity factors. (English) Zbl 1394.74196 Math. Probl. Eng. 2015, Article ID 219657, 9 p. (2015). MSC: 74S05 PDFBibTeX XMLCite \textit{F. Liu} et al., Math. Probl. Eng. 2015, Article ID 219657, 9 p. (2015; Zbl 1394.74196) Full Text: DOI
Alatawi, I. A.; Trevelyan, Jon A direct evaluation of stress intensity factors using the extended dual boundary element method. (English) Zbl 1403.74142 Eng. Anal. Bound. Elem. 52, 56-63 (2015). MSC: 74S15 65N38 74R05 PDFBibTeX XMLCite \textit{I. A. Alatawi} and \textit{J. Trevelyan}, Eng. Anal. Bound. Elem. 52, 56--63 (2015; Zbl 1403.74142) Full Text: DOI Link
Chiaramonte, Maurizio M.; Shen, Yongxing; Keer, Leon M.; Lew, Adrian J. Computing stress intensity factors for curvilinear cracks. (English) Zbl 1352.74279 Int. J. Numer. Methods Eng. 104, No. 4, 260-296 (2015). MSC: 74R10 74S05 65N30 74B05 PDFBibTeX XMLCite \textit{M. M. Chiaramonte} et al., Int. J. Numer. Methods Eng. 104, No. 4, 260--296 (2015; Zbl 1352.74279) Full Text: DOI arXiv Link
Woodward, W. H.; Utyuzhnikov, S.; Massin, P. On the application of the method of difference potentials to linear elastic fracture mechanics. (English) Zbl 1352.74043 Int. J. Numer. Methods Eng. 103, No. 10, 703-736 (2015). MSC: 74B05 74S20 65N06 74R10 PDFBibTeX XMLCite \textit{W. H. Woodward} et al., Int. J. Numer. Methods Eng. 103, No. 10, 703--736 (2015; Zbl 1352.74043) Full Text: DOI
Réthoré, J. Automatic crack tip detection and stress intensity factors estimation of curved cracks from digital images. (English) Zbl 1352.74303 Int. J. Numer. Methods Eng. 103, No. 7, 516-534 (2015). MSC: 74R10 74S05 65N30 PDFBibTeX XMLCite \textit{J. Réthoré}, Int. J. Numer. Methods Eng. 103, No. 7, 516--534 (2015; Zbl 1352.74303) Full Text: DOI
Ventura, G.; Benvenuti, E. Equivalent polynomials for quadrature in Heaviside function enriched elements. (English) Zbl 1352.65559 Int. J. Numer. Methods Eng. 102, No. 3-4, 688-710 (2015). MSC: 65N30 65D30 PDFBibTeX XMLCite \textit{G. Ventura} and \textit{E. Benvenuti}, Int. J. Numer. Methods Eng. 102, No. 3--4, 688--710 (2015; Zbl 1352.65559) Full Text: DOI
Song, Gan; Waisman, Haim; Lan, Mengyu; Harari, Isaac Extraction of stress intensity factors from Irwin’s integral using high-order XFEM on triangular meshes. (English) Zbl 1352.74305 Int. J. Numer. Methods Eng. 102, No. 3-4, 528-550 (2015). MSC: 74R10 74S05 65N30 PDFBibTeX XMLCite \textit{G. Song} et al., Int. J. Numer. Methods Eng. 102, No. 3--4, 528--550 (2015; Zbl 1352.74305) Full Text: DOI
Langlois, C. Roux; Gravouil, A.; Baietto, M.-C.; Réthoré, J. Three-dimensional simulation of crack with curved front with direct estimation of stress intensity factors. (English) Zbl 1352.74288 Int. J. Numer. Methods Eng. 101, No. 8, 635-652 (2015). MSC: 74R10 74S05 65N30 PDFBibTeX XMLCite \textit{C. R. Langlois} et al., Int. J. Numer. Methods Eng. 101, No. 8, 635--652 (2015; Zbl 1352.74288) Full Text: DOI HAL
Lins, R. M.; Ferreira, M. D. C.; Proença, S. P. B.; Duarte, C. A. An a-posteriori error estimator for linear elastic fracture mechanics using the stable generalized/extended finite element method. (English) Zbl 1336.74067 Comput. Mech. 56, No. 6, 947-965 (2015). MSC: 74S05 65N30 65N15 74B05 74R10 PDFBibTeX XMLCite \textit{R. M. Lins} et al., Comput. Mech. 56, No. 6, 947--965 (2015; Zbl 1336.74067) Full Text: DOI
Wang, Yongxiang; Waisman, Haim Progressive delamination analysis of composite materials using XFEM and a discrete damage zone model. (English) Zbl 1311.74012 Comput. Mech. 55, No. 1, 1-26 (2015). MSC: 74A60 74S05 74A50 PDFBibTeX XMLCite \textit{Y. Wang} and \textit{H. Waisman}, Comput. Mech. 55, No. 1, 1--26 (2015; Zbl 1311.74012) Full Text: DOI
Yan, Fei; Feng, Xia-Ting; Pan, Peng-Zhi; Li, Shao-Jun Discontinuous cellular automaton method for crack growth analysis without remeshing. (English) Zbl 1449.74195 Appl. Math. Modelling 38, No. 1, 291-307 (2014). MSC: 74S05 74R10 74G70 PDFBibTeX XMLCite \textit{F. Yan} et al., Appl. Math. Modelling 38, No. 1, 291--307 (2014; Zbl 1449.74195) Full Text: DOI
Natarajan, Sundararajan; Song, Chongmin; Belouettar, Salim Numerical evaluation of stress intensity factors and T-stress for interfacial cracks and cracks terminating at the interface without asymptotic enrichment. (English) Zbl 1423.74364 Comput. Methods Appl. Mech. Eng. 279, 86-112 (2014). MSC: 74G70 74S05 74R10 PDFBibTeX XMLCite \textit{S. Natarajan} et al., Comput. Methods Appl. Mech. Eng. 279, 86--112 (2014; Zbl 1423.74364) Full Text: DOI arXiv
Chen, Y. Z. Evaluation of the T-stress for multiple cracks in an elastic half-plane using singular integral equation and Green’s function method. (English) Zbl 1364.74091 Appl. Math. Comput. 228, 17-30 (2014). MSC: 74R10 45E05 PDFBibTeX XMLCite \textit{Y. Z. Chen}, Appl. Math. Comput. 228, 17--30 (2014; Zbl 1364.74091) Full Text: DOI
Ling, Daosheng; Bu, Lingfang; Tu, Fubin; Yang, Qingda; Chen, Yunmin A finite element method with mesh-separation-based approximation technique and its application in modeling crack propagation with adaptive mesh refinement. (English) Zbl 1352.74291 Int. J. Numer. Methods Eng. 99, No. 7, 487-521 (2014). MSC: 74R10 74S05 65N30 65N50 PDFBibTeX XMLCite \textit{D. Ling} et al., Int. J. Numer. Methods Eng. 99, No. 7, 487--521 (2014; Zbl 1352.74291) Full Text: DOI
Cho, J. R.; Lee, H. W. Calculation of stress intensity factors in 2-D linear fracture mechanics by Petrov-Galerkin natural element method. (English) Zbl 1352.74337 Int. J. Numer. Methods Eng. 98, No. 11, 819-839 (2014). MSC: 74S05 65N30 74A45 74G70 PDFBibTeX XMLCite \textit{J. R. Cho} and \textit{H. W. Lee}, Int. J. Numer. Methods Eng. 98, No. 11, 819--839 (2014; Zbl 1352.74337) Full Text: DOI
Yang, Shikou; Ma, Guowei; Ren, Xuhua; Ren, Feng Cover refinement of numerical manifold method for crack propagation simulation. (English) Zbl 1297.74169 Eng. Anal. Bound. Elem. 43, 37-49 (2014). MSC: 74S30 74R10 PDFBibTeX XMLCite \textit{S. Yang} et al., Eng. Anal. Bound. Elem. 43, 37--49 (2014; Zbl 1297.74169) Full Text: DOI
Ooi, Ean Tat; Song, Chongmin; Tin-Loi, Francis A scaled boundary polygon formulation for elasto-plastic analyses. (English) Zbl 1295.74102 Comput. Methods Appl. Mech. Eng. 268, 905-937 (2014). MSC: 74S15 74C05 PDFBibTeX XMLCite \textit{E. T. Ooi} et al., Comput. Methods Appl. Mech. Eng. 268, 905--937 (2014; Zbl 1295.74102) Full Text: DOI Link
Natarajan, Sundararajan; Song, Chongmin Representation of singular fields without asymptotic enrichment in the extended finite element method. (English) Zbl 1352.74298 Int. J. Numer. Methods Eng. 96, No. 13, 813-841 (2013). MSC: 74R10 74S05 65N30 PDFBibTeX XMLCite \textit{S. Natarajan} and \textit{C. Song}, Int. J. Numer. Methods Eng. 96, No. 13, 813--841 (2013; Zbl 1352.74298) Full Text: DOI arXiv
Lan, Mengyu; Waisman, Haim; Harari, Isaac A high-order extended finite element method for extraction of mixed-mode strain energy release rates in arbitrary crack settings based on Irwin’s integral. (English) Zbl 1352.74287 Int. J. Numer. Methods Eng. 96, No. 12, 787-812 (2013). MSC: 74R10 74S05 65N30 PDFBibTeX XMLCite \textit{M. Lan} et al., Int. J. Numer. Methods Eng. 96, No. 12, 787--812 (2013; Zbl 1352.74287) Full Text: DOI
Lan, M.; Waisman, H.; Harari, I. A direct analytical method to extract mixed-mode components of strain energy release rates from Irwin’s integral using extended finite element method. (English) Zbl 1352.74128 Int. J. Numer. Methods Eng. 95, No. 12, 1033-1052 (2013). MSC: 74G70 74S05 65N30 74R10 PDFBibTeX XMLCite \textit{M. Lan} et al., Int. J. Numer. Methods Eng. 95, No. 12, 1033--1052 (2013; Zbl 1352.74128) Full Text: DOI
Mougaard, J. F.; Poulsen, P. N.; Nielsen, L. O. Complete tangent stiffness for extended finite element method by including crack growth parameters. (English) Zbl 1352.74296 Int. J. Numer. Methods Eng. 95, No. 1, 33-45 (2013). MSC: 74R10 65N30 74S05 PDFBibTeX XMLCite \textit{J. F. Mougaard} et al., Int. J. Numer. Methods Eng. 95, No. 1, 33--45 (2013; Zbl 1352.74296) Full Text: DOI
Ayatollahi, M. R.; Dehghany, M.; Kaveh, Z. Computation of V-notch shape factors in four-point bend specimen for fracture tests on brittle materials. (English) Zbl 1293.74137 Arch. Appl. Mech. 83, No. 3, 345-356 (2013). MSC: 74G70 74R10 74S05 PDFBibTeX XMLCite \textit{M. R. Ayatollahi} et al., Arch. Appl. Mech. 83, No. 3, 345--356 (2013; Zbl 1293.74137) Full Text: DOI
Sudhakar, Y.; Wall, Wolfgang A. Quadrature schemes for arbitrary convex/concave volumes and integration of weak form in enriched partition of unity methods. (English) Zbl 1286.65037 Comput. Methods Appl. Mech. Eng. 258, 39-54 (2013). MSC: 65D30 65N30 PDFBibTeX XMLCite \textit{Y. Sudhakar} and \textit{W. A. Wall}, Comput. Methods Appl. Mech. Eng. 258, 39--54 (2013; Zbl 1286.65037) Full Text: DOI
Barros, Felício B.; de Barcellos, Clovis S.; Duarte, C. Armando; Torres, Diego A. F. Subdomain-based error techniques for generalized finite element approximations of problems with singular stress fields. (English) Zbl 1398.74299 Comput. Mech. 52, No. 6, 1395-1415 (2013). MSC: 74S05 65N30 65N15 74R10 35J25 PDFBibTeX XMLCite \textit{F. B. Barros} et al., Comput. Mech. 52, No. 6, 1395--1415 (2013; Zbl 1398.74299) Full Text: DOI
Bhattacharya, S.; Singh, I. V.; Mishra, B. K.; Bui, T. Q. Fatigue crack growth simulations of interfacial cracks in bi-layered fgms using XFEM. (English) Zbl 1311.74145 Comput. Mech. 52, No. 4, 799-814 (2013). MSC: 74S30 74R10 PDFBibTeX XMLCite \textit{S. Bhattacharya} et al., Comput. Mech. 52, No. 4, 799--814 (2013; Zbl 1311.74145) Full Text: DOI
Nadal, E.; Ródenas, J. J.; Albelda, J.; Tur, M.; Tarancón, J. E.; Fuenmayor, F. J. Efficient finite element methodology based on Cartesian grids: application to structural shape optimization. (English) Zbl 1328.74081 Abstr. Appl. Anal. 2013, Article ID 953786, 19 p. (2013). MSC: 74S05 49Q10 65N30 74P15 PDFBibTeX XMLCite \textit{E. Nadal} et al., Abstr. Appl. Anal. 2013, Article ID 953786, 19 p. (2013; Zbl 1328.74081) Full Text: DOI
Muthu, N.; Maiti, Surjya Kumar; Falzon, B. G.; Guiamatsia, I. A comparison of stress intensity factors obtained through crack closure integral and other approaches using extended element-free Galerkin method. (English) Zbl 1282.74092 Comput. Mech. 52, No. 3, 587-605 (2013). MSC: 74S05 74R10 74G70 PDFBibTeX XMLCite \textit{N. Muthu} et al., Comput. Mech. 52, No. 3, 587--605 (2013; Zbl 1282.74092) Full Text: DOI
Ródenas, J. J.; González-Estrada, O. A.; Fuenmayor, F. J.; Chinesta, F. Enhanced error estimator based on a nearly equilibrated moving least squares recovery technique for FEM and XFEM. (English) Zbl 1398.74396 Comput. Mech. 52, No. 2, 321-344 (2013). MSC: 74S05 74R10 65N15 65N30 74B05 PDFBibTeX XMLCite \textit{J. J. Ródenas} et al., Comput. Mech. 52, No. 2, 321--344 (2013; Zbl 1398.74396) Full Text: DOI arXiv Link
Chen, L.; Zhang, Y. W.; Liu, G. R.; Nguyen-Xuan, H.; Zhang, Z. Q. A stabilized finite element method for certified solution with bounds in static and frequency analyses of piezoelectric structures. (English) Zbl 1353.74069 Comput. Methods Appl. Mech. Eng. 241-244, 65-81 (2012). MSC: 74S05 74M05 74F15 PDFBibTeX XMLCite \textit{L. Chen} et al., Comput. Methods Appl. Mech. Eng. 241--244, 65--81 (2012; Zbl 1353.74069) Full Text: DOI
Benvenuti, Elena; Tralli, Antonio Simulation of finite-width process zone in concrete-like materials by means of a regularized extended finite element model. (English) Zbl 1398.74302 Comput. Mech. 50, No. 4, 479-497 (2012). MSC: 74S05 74R10 74A45 74R05 74R20 PDFBibTeX XMLCite \textit{E. Benvenuti} and \textit{A. Tralli}, Comput. Mech. 50, No. 4, 479--497 (2012; Zbl 1398.74302) Full Text: DOI
Ooi, Ean Tat; Song, Chongmin; Tin-Loi, Francis; Yang, Zhenjun Polygon scaled boundary finite elements for crack propagation modelling. (English) Zbl 1246.74062 Int. J. Numer. Methods Eng. 91, No. 3, 319-342 (2012). MSC: 74S05 74R10 PDFBibTeX XMLCite \textit{E. T. Ooi} et al., Int. J. Numer. Methods Eng. 91, No. 3, 319--342 (2012; Zbl 1246.74062) Full Text: DOI
Zamani, Arash; Eslami, M. Reza Gradient-enhanced damage modeling of cracked bodies by reproducing kernel element method. (English) Zbl 1243.74190 Comput. Methods Appl. Mech. Eng. 213-216, 266-288 (2012). MSC: 74S05 74R10 74A45 PDFBibTeX XMLCite \textit{A. Zamani} and \textit{M. R. Eslami}, Comput. Methods Appl. Mech. Eng. 213--216, 266--288 (2012; Zbl 1243.74190) Full Text: DOI
Chen, Lei; Rabczuk, Timon; Bordas, S. P. A.; Liu, Guirong; Zeng, Kai-Yang; Kerfriden, P. Extended finite element method with edge-based strain smoothing (ESm-XFEM) for linear elastic crack growth. (English) Zbl 1243.74170 Comput. Methods Appl. Mech. Eng. 209-212, 250-265 (2012). MSC: 74R10 74S05 74A45 PDFBibTeX XMLCite \textit{L. Chen} et al., Comput. Methods Appl. Mech. Eng. 209--212, 250--265 (2012; Zbl 1243.74170) Full Text: DOI
Zamani, Arash; Gracie, Robert; Eslami, M. Reza Cohesive and non-cohesive fracture by higher-order enrichment of XFEM. (English) Zbl 1242.74177 Int. J. Numer. Methods Eng. 90, No. 4, 452-483 (2012). MSC: 74S05 74R10 74G70 PDFBibTeX XMLCite \textit{A. Zamani} et al., Int. J. Numer. Methods Eng. 90, No. 4, 452--483 (2012; Zbl 1242.74177) Full Text: DOI
Byfut, Andreas; Schröder, Andreas \(hp\)-adaptive extended finite element method. (English) Zbl 1242.74099 Int. J. Numer. Methods Eng. 89, No. 11, 1392-1418 (2012). MSC: 74S05 74B05 PDFBibTeX XMLCite \textit{A. Byfut} and \textit{A. Schröder}, Int. J. Numer. Methods Eng. 89, No. 11, 1392--1418 (2012; Zbl 1242.74099) Full Text: DOI
Yu, T. T. The extended finite element method (XFEM) for discontinuous rock masses. (English) Zbl 1284.74135 Eng. Comput. (Bradf.) 28, No. 3, 340-369 (2011). MSC: 74S05 74L10 PDFBibTeX XMLCite \textit{T. T. Yu}, Eng. Comput. (Bradf.) 28, No. 3, 340--369 (2011; Zbl 1284.74135) Full Text: DOI
Zhuang, Z.; Cheng, B. B. Equilibrium state of mode-I sub-interfacial crack growth in bi-materials. (English) Zbl 1283.74082 Int. J. Fract. 170, No. 1, 27-36 (2011). MSC: 74R10 74S05 PDFBibTeX XMLCite \textit{Z. Zhuang} and \textit{B. B. Cheng}, Int. J. Fract. 170, No. 1, 27--36 (2011; Zbl 1283.74082) Full Text: DOI
Chen, Lei; Liu, Gui Rong; Zeng, Kai Yang A combined extended and edge-based smoothed finite element method (ES-XFEM) for fracture analysis of 2D elasticity. (English) Zbl 1245.74081 Int. J. Comput. Methods 8, No. 4, 773-786 (2011). MSC: 74R10 74S05 65N30 74B05 PDFBibTeX XMLCite \textit{L. Chen} et al., Int. J. Comput. Methods 8, No. 4, 773--786 (2011; Zbl 1245.74081) Full Text: DOI
Zamani, Arash; Eslami, M. Reza Embedded interfaces by polytope FEM. (English) Zbl 1242.74176 Int. J. Numer. Methods Eng. 88, No. 8, 715-748 (2011). MSC: 74S05 74R10 PDFBibTeX XMLCite \textit{A. Zamani} and \textit{M. R. Eslami}, Int. J. Numer. Methods Eng. 88, No. 8, 715--748 (2011; Zbl 1242.74176) Full Text: DOI
Yu, TianTang; Ren, QingWen Modeling crack in viscoelastic media using the extended finite element method. (English) Zbl 1237.74194 Sci. China, Technol. Sci. 54, No. 6, 1599-1606 (2011). MSC: 74S05 74D99 74R99 PDFBibTeX XMLCite \textit{T. Yu} and \textit{Q. Ren}, Sci. China, Technol. Sci. 54, No. 6, 1599--1606 (2011; Zbl 1237.74194) Full Text: DOI
Jiang, Y.; Liu, G. R.; Zhang, Y. W.; Chen, L.; Tay, T. E. A singular ES-FEM for plastic fracture mechanics. (English) Zbl 1230.74183 Comput. Methods Appl. Mech. Eng. 200, No. 45-46, 2943-2955 (2011). MSC: 74S05 74R20 74G70 PDFBibTeX XMLCite \textit{Y. Jiang} et al., Comput. Methods Appl. Mech. Eng. 200, No. 45--46, 2943--2955 (2011; Zbl 1230.74183) Full Text: DOI
Pant, Mohit; Singh, I. V.; Mishra, B. K. Evaluation of mixed mode stress intensity factors for interface cracks using EFGM. (English) Zbl 1221.74074 Appl. Math. Modelling 35, No. 7, 3443-3459 (2011). MSC: 74S05 74A50 74R99 PDFBibTeX XMLCite \textit{M. Pant} et al., Appl. Math. Modelling 35, No. 7, 3443--3459 (2011; Zbl 1221.74074) Full Text: DOI
Passieux, J. C.; Gravouil, A.; Réthoré, J.; Baietto, M. C. Direct estimation of generalized stress intensity factors using a three-scale concurrent multigrid X-FEM. (English) Zbl 1217.74133 Int. J. Numer. Methods Eng. 85, No. 13, 1648-1666 (2011). MSC: 74S05 74G70 74R10 PDFBibTeX XMLCite \textit{J. C. Passieux} et al., Int. J. Numer. Methods Eng. 85, No. 13, 1648--1666 (2011; Zbl 1217.74133) Full Text: DOI
Nicaise, Serge; Renard, Yves; Chahine, Elie Optimal convergence analysis for the extended finite element method. (English) Zbl 1216.74029 Int. J. Numer. Methods Eng. 86, No. 4-5, 528-548 (2011). MSC: 74S05 65N15 65N30 74B05 PDFBibTeX XMLCite \textit{S. Nicaise} et al., Int. J. Numer. Methods Eng. 86, No. 4--5, 528--548 (2011; Zbl 1216.74029) Full Text: DOI
Fries, Thomas-Peter; Byfut, Andreas; Alizada, Alaskar; Cheng, Kwok Wah; Schröder, Andreas Hanging nodes and XFEM. (English) Zbl 1216.74020 Int. J. Numer. Methods Eng. 86, No. 4-5, 404-430 (2011). MSC: 74S05 76M10 74B05 76D05 PDFBibTeX XMLCite \textit{T.-P. Fries} et al., Int. J. Numer. Methods Eng. 86, No. 4--5, 404--430 (2011; Zbl 1216.74020) Full Text: DOI
Nguyen-Thoi, T.; Liu, G. R.; Nguyen-Xuan, H.; Nguyen-Tran, C. Adaptive analysis using the node-based smoothed finite element method (NS-FEM). (English) Zbl 1370.74144 Int. J. Numer. Methods Biomed. Eng. 27, No. 2, 198-218 (2011). MSC: 74S05 65N30 65N50 PDFBibTeX XMLCite \textit{T. Nguyen-Thoi} et al., Int. J. Numer. Methods Biomed. Eng. 27, No. 2, 198--218 (2011; Zbl 1370.74144) Full Text: DOI
Chahine, Elie; Laborde, Patrick; Renard, Yves A non-conformal extended finite element approach: integral matching Xfem. (English) Zbl 1214.74013 Appl. Numer. Math. 61, No. 3, 322-343 (2011). Reviewer: Adrian Carabineanu (Bucureşti) MSC: 74S05 74R10 74B05 65N30 65N15 PDFBibTeX XMLCite \textit{E. Chahine} et al., Appl. Numer. Math. 61, No. 3, 322--343 (2011; Zbl 1214.74013) Full Text: DOI HAL
Ródenas, J. J.; González-Estrada, O. A.; Díez, P.; Fuenmayor, F. J. Accurate recovery-based upper error bounds for the extended finite element framework. (English) Zbl 1231.74437 Comput. Methods Appl. Mech. Eng. 199, No. 37-40, 2607-2621 (2010). MSC: 74S05 74R10 65N15 PDFBibTeX XMLCite \textit{J. J. Ródenas} et al., Comput. Methods Appl. Mech. Eng. 199, No. 37--40, 2607--2621 (2010; Zbl 1231.74437) Full Text: DOI Link
Shen, Yongxing; Lew, Adrian Stability and convergence proofs for a discontinuous-Galerkin-based extended finite element method for fracture mechanics. (English) Zbl 1231.74440 Comput. Methods Appl. Mech. Eng. 199, No. 37-40, 2360-2382 (2010). MSC: 74S05 74R10 65N12 65N30 PDFBibTeX XMLCite \textit{Y. Shen} and \textit{A. Lew}, Comput. Methods Appl. Mech. Eng. 199, No. 37--40, 2360--2382 (2010; Zbl 1231.74440) Full Text: DOI
Ooi, E. T.; Yang, Z. J. A hybrid finite element-scaled boundary finite element method for crack propagation modelling. (English) Zbl 1227.74084 Comput. Methods Appl. Mech. Eng. 199, No. 17-20, 1178-1192 (2010). MSC: 74S05 74S15 74R10 PDFBibTeX XMLCite \textit{E. T. Ooi} and \textit{Z. J. Yang}, Comput. Methods Appl. Mech. Eng. 199, No. 17--20, 1178--1192 (2010; Zbl 1227.74084) Full Text: DOI
Mousavi, S. E.; Sukumar, N. Generalized Gaussian quadrature rules for discontinuities and crack singularities in the extended finite element method. (English) Zbl 1225.74099 Comput. Methods Appl. Mech. Eng. 199, No. 49-52, 3237-3249 (2010). MSC: 74S05 74G70 74R10 PDFBibTeX XMLCite \textit{S. E. Mousavi} and \textit{N. Sukumar}, Comput. Methods Appl. Mech. Eng. 199, No. 49--52, 3237--3249 (2010; Zbl 1225.74099) Full Text: DOI
Fries, Thomas-Peter; Belytschko, Ted The extended/generalized finite element method: an overview of the method and its applications. (English) Zbl 1202.74169 Int. J. Numer. Methods Eng. 84, No. 3, 253-304 (2010). MSC: 74S05 74-02 PDFBibTeX XMLCite \textit{T.-P. Fries} and \textit{T. Belytschko}, Int. J. Numer. Methods Eng. 84, No. 3, 253--304 (2010; Zbl 1202.74169) Full Text: DOI
Lasry, Jérémie; Pommier, Julien; Renard, Yves; Salaün, Michel Extended finite element methods for thin cracked plates with Kirchhoff-Love theory. (English) Zbl 1202.74176 Int. J. Numer. Methods Eng. 84, No. 9, 1115-1138 (2010). MSC: 74S05 74K20 PDFBibTeX XMLCite \textit{J. Lasry} et al., Int. J. Numer. Methods Eng. 84, No. 9, 1115--1138 (2010; Zbl 1202.74176) Full Text: DOI Link
Liu, G. R.; Chen, L.; Nguyen-Thoi, T.; Zeng, K. Y.; Zhang, G. Y. A novel singular node-based smoothed finite element method (NS-FEM) for upper bound solutions of fracture problems. (English) Zbl 1202.74179 Int. J. Numer. Methods Eng. 83, No. 11, 1466-1497 (2010). MSC: 74S05 74R10 PDFBibTeX XMLCite \textit{G. R. Liu} et al., Int. J. Numer. Methods Eng. 83, No. 11, 1466--1497 (2010; Zbl 1202.74179) Full Text: DOI
Zamani, Arash; Gracie, Robert; Eslami, M. Reza Higher order tip enrichment of extended finite element method in thermoelasticity. (English) Zbl 1344.74062 Comput. Mech. 46, No. 6, 851-866 (2010). MSC: 74S05 74F05 76R99 PDFBibTeX XMLCite \textit{A. Zamani} et al., Comput. Mech. 46, No. 6, 851--866 (2010; Zbl 1344.74062) Full Text: DOI
Menouillard, Thomas; Belytschko, Ted Dynamic fracture with meshfree enriched XFEM. (English) Zbl 1272.74604 Acta Mech. 213, No. 1-2, 53-69 (2010). MSC: 74R99 74S05 PDFBibTeX XMLCite \textit{T. Menouillard} and \textit{T. Belytschko}, Acta Mech. 213, No. 1--2, 53--69 (2010; Zbl 1272.74604) Full Text: DOI
Natarajan, Sundararajan; Mahapatra, D. Roy; Bordas, Stéphane P. A. Integrating strong and weak discontinuities without integration subcells and example applications in an XFEM/GFEM framework. (English) Zbl 1193.74153 Int. J. Numer. Methods Eng. 83, No. 3, 269-294 (2010). MSC: 74S05 74G70 PDFBibTeX XMLCite \textit{S. Natarajan} et al., Int. J. Numer. Methods Eng. 83, No. 3, 269--294 (2010; Zbl 1193.74153) Full Text: DOI arXiv
Abbas, Safdar; Alizada, Alaskar; Fries, Thomas-Peter The XFEM for high-gradient solutions in convection-dominated problems. (English) Zbl 1188.76224 Int. J. Numer. Methods Eng. 82, No. 8, 1044-1072 (2010). MSC: 76M10 76R99 76R50 PDFBibTeX XMLCite \textit{S. Abbas} et al., Int. J. Numer. Methods Eng. 82, No. 8, 1044--1072 (2010; Zbl 1188.76224) Full Text: DOI
Shen, Yongxing; Lew, Adrian An optimally convergent discontinuous Galerkin-based extended finite element method for fracture mechanics. (English) Zbl 1188.74070 Int. J. Numer. Methods Eng. 82, No. 6, 716-755 (2010). MSC: 74S05 74R10 74B05 PDFBibTeX XMLCite \textit{Y. Shen} and \textit{A. Lew}, Int. J. Numer. Methods Eng. 82, No. 6, 716--755 (2010; Zbl 1188.74070) Full Text: DOI
Panetier, J.; Ladevèze, P.; Chamoin, L. Strict and effective bounds in goal-oriented error estimation applied to fracture mechanics problems solved with XFEM. (English) Zbl 1183.74303 Int. J. Numer. Methods Eng. 81, No. 6, 671-700 (2010). MSC: 74S05 74R10 PDFBibTeX XMLCite \textit{J. Panetier} et al., Int. J. Numer. Methods Eng. 81, No. 6, 671--700 (2010; Zbl 1183.74303) Full Text: DOI
Réthoré, Julien; Roux, Stéphane; Hild, François Hybrid analytical and extended finite element method (HAX-FEM): a new enrichment procedure for cracked solids. (English) Zbl 1183.74309 Int. J. Numer. Methods Eng. 81, No. 3, 269-285 (2010). MSC: 74S05 74R10 74K20 PDFBibTeX XMLCite \textit{J. Réthoré} et al., Int. J. Numer. Methods Eng. 81, No. 3, 269--285 (2010; Zbl 1183.74309) Full Text: DOI HAL