Yu, Yue; You, Huaiqian; Trask, Nathaniel An asymptotically compatible treatment of traction loading in linearly elastic peridynamic fracture. (English) Zbl 1506.74506 Comput. Methods Appl. Mech. Eng. 377, Article ID 113691, 36 p. (2021). MSC: 74S99 65M70 74A70 PDFBibTeX XMLCite \textit{Y. Yu} et al., Comput. Methods Appl. Mech. Eng. 377, Article ID 113691, 36 p. (2021; Zbl 1506.74506) Full Text: DOI arXiv
You, Huaiqian; Yu, Yue; Kamensky, David An asymptotically compatible formulation for local-to-nonlocal coupling problems without overlapping regions. (English) Zbl 1442.74244 Comput. Methods Appl. Mech. Eng. 366, Article ID 113038, 36 p. (2020). MSC: 74S05 45K05 35R09 65N30 74A15 PDFBibTeX XMLCite \textit{H. You} et al., Comput. Methods Appl. Mech. Eng. 366, Article ID 113038, 36 p. (2020; Zbl 1442.74244) Full Text: DOI arXiv
Trask, Nathaniel; You, Huaiqian; Yu, Yue; Parks, Michael L. An asymptotically compatible meshfree quadrature rule for nonlocal problems with applications to peridynamics. (English) Zbl 1440.74463 Comput. Methods Appl. Mech. Eng. 343, 151-165 (2019). MSC: 74S20 65M06 65D30 74A45 PDFBibTeX XMLCite \textit{N. Trask} et al., Comput. Methods Appl. Mech. Eng. 343, 151--165 (2019; Zbl 1440.74463) Full Text: DOI arXiv
Du, Qiang; Tao, Yunzhe; Tian, Xiaochuan; Yang, Jiang Robust a posteriori stress analysis for quadrature collocation approximations of nonlocal models via nonlocal gradients. (English) Zbl 1439.74011 Comput. Methods Appl. Mech. Eng. 310, 605-627 (2016). MSC: 74A10 74A20 PDFBibTeX XMLCite \textit{Q. Du} et al., Comput. Methods Appl. Mech. Eng. 310, 605--627 (2016; Zbl 1439.74011) Full Text: DOI
Zupan, E.; Zupan, D. Velocity-based approach in non-linear dynamics of three-dimensional beams with enforced kinematic compatibility. (English) Zbl 1439.74162 Comput. Methods Appl. Mech. Eng. 310, 406-428 (2016). MSC: 74K10 74S05 65M60 PDFBibTeX XMLCite \textit{E. Zupan} and \textit{D. Zupan}, Comput. Methods Appl. Mech. Eng. 310, 406--428 (2016; Zbl 1439.74162) Full Text: DOI
Biyikli, Emre; Yang, Qingcheng; To, Albert C. Multiresolution molecular mechanics: dynamics. (English) Zbl 1296.74005 Comput. Methods Appl. Mech. Eng. 274, 42-55 (2014). MSC: 74A25 PDFBibTeX XMLCite \textit{E. Biyikli} et al., Comput. Methods Appl. Mech. Eng. 274, 42--55 (2014; Zbl 1296.74005) Full Text: DOI
Yang, Qingcheng; Biyikli, Emre; To, Albert C. Multiresolution molecular mechanics: statics. (English) Zbl 1296.74006 Comput. Methods Appl. Mech. Eng. 258, 26-38 (2013). MSC: 74A25 PDFBibTeX XMLCite \textit{Q. Yang} et al., Comput. Methods Appl. Mech. Eng. 258, 26--38 (2013; Zbl 1296.74006) Full Text: DOI
Rajendran, S.; Zhang, B. R. A “FE-meshfree” QUAD4 element based on partition of unity. (English) Zbl 1169.74628 Comput. Methods Appl. Mech. Eng. 197, No. 1-4, 128-147 (2007); corrigendum ibid. 197, No. 13-16, 1430 (2008). MSC: 74S05 74S30 74K10 74K20 PDFBibTeX XMLCite \textit{S. Rajendran} and \textit{B. R. Zhang}, Comput. Methods Appl. Mech. Eng. 197, No. 1--4, 128--147 (2007; Zbl 1169.74628) Full Text: DOI
Martineau, Richard C.; Berry, Ray A. Characteristic boundary conditions for the two-step Taylor-Galerkin FEM. (English) Zbl 1092.76038 Comput. Methods Appl. Mech. Eng. 195, No. 7-8, 742-762 (2006). MSC: 76M10 76N15 PDFBibTeX XMLCite \textit{R. C. Martineau} and \textit{R. A. Berry}, Comput. Methods Appl. Mech. Eng. 195, No. 7--8, 742--762 (2006; Zbl 1092.76038) Full Text: DOI
Gasser, Thomas C.; Holzapfel, Gerhard A. Geometrically nonlinear and consistently linearized embedded strong discontinuity models for 3D problems with an application to the dissection analysis of soft biological tissues. (English) Zbl 1088.74541 Comput. Methods Appl. Mech. Eng. 192, No. 47-48, 5059-5098 (2003). Reviewer: Messoud A. Efendiev (Berlin) MSC: 74L15 74S05 92C10 PDFBibTeX XMLCite \textit{T. C. Gasser} and \textit{G. A. Holzapfel}, Comput. Methods Appl. Mech. Eng. 192, No. 47--48, 5059--5098 (2003; Zbl 1088.74541) Full Text: DOI
Zhou, Tianxiao; Xie, Xiaoping A unified analysis for stress/strain hybrid methods of high performance. (English) Zbl 1039.74052 Comput. Methods Appl. Mech. Eng. 191, No. 41-42, 4619-4640 (2002). MSC: 74S05 74B05 65N15 65N30 PDFBibTeX XMLCite \textit{T. Zhou} and \textit{X. Xie}, Comput. Methods Appl. Mech. Eng. 191, No. 41--42, 4619--4640 (2002; Zbl 1039.74052) Full Text: DOI
Auteri, F.; Saleri, F.; Vigevano, L. Incompressible Navier-Stokes solutions by a triangular spectral/\(p\) element projection method. (English) Zbl 0996.76043 Comput. Methods Appl. Mech. Eng. 190, No. 51-52, 6927-6945 (2001). MSC: 76M10 76D05 PDFBibTeX XMLCite \textit{F. Auteri} et al., Comput. Methods Appl. Mech. Eng. 190, No. 51--52, 6927--6945 (2001; Zbl 0996.76043) Full Text: DOI
Le Tallec, P.; Mouro, J. Fluid-structure interaction with large structural displacements. (English) Zbl 1001.74040 Comput. Methods Appl. Mech. Eng. 190, No. 24-25, 3039-3067 (2001). Reviewer: Z.Dżygadło (Warszawa) MSC: 74F10 74S05 74S20 PDFBibTeX XMLCite \textit{P. Le Tallec} and \textit{J. Mouro}, Comput. Methods Appl. Mech. Eng. 190, No. 24--25, 3039--3067 (2001; Zbl 1001.74040) Full Text: DOI
Soh, A. K.; Long, Zhifei; Cen, Song Development of a new quadrilateral thin plate element using area coordinates. (English) Zbl 1005.74072 Comput. Methods Appl. Mech. Eng. 190, No. 8-10, 979-987 (2000). MSC: 74S05 74K20 PDFBibTeX XMLCite \textit{A. K. Soh} et al., Comput. Methods Appl. Mech. Eng. 190, No. 8--10, 979--987 (2000; Zbl 1005.74072) Full Text: DOI
Lo, S. H.; Ling, Chen Improvement on the 10-node tetrahedral element for three-dimensional problems. (English) Zbl 0982.74067 Comput. Methods Appl. Mech. Eng. 189, No. 3, 961-974 (2000). MSC: 74S05 74K10 74K20 74K25 PDFBibTeX XMLCite \textit{S. H. Lo} and \textit{C. Ling}, Comput. Methods Appl. Mech. Eng. 189, No. 3, 961--974 (2000; Zbl 0982.74067) Full Text: DOI
Gupta, S. C. A moving grid numerical scheme for multi-dimensional solidification with transition temperature range. (English) Zbl 0977.76061 Comput. Methods Appl. Mech. Eng. 189, No. 2, 525-544 (2000). MSC: 76M20 76M25 76T99 65M20 80A22 PDFBibTeX XMLCite \textit{S. C. Gupta}, Comput. Methods Appl. Mech. Eng. 189, No. 2, 525--544 (2000; Zbl 0977.76061) Full Text: DOI
Ibán, A. L.; Garrido, J. A.; Prieto, I. Contact algorithm for nonlinear elastic problems with large displacements and friction using the boundary element method. (English) Zbl 0982.74078 Comput. Methods Appl. Mech. Eng. 178, No. 1-2, 51-67 (1999). Reviewer: Vladimir Sládek (Bratislava) MSC: 74S15 74M15 74M10 74B20 PDFBibTeX XMLCite \textit{A. L. Ibán} et al., Comput. Methods Appl. Mech. Eng. 178, No. 1--2, 51--67 (1999; Zbl 0982.74078) Full Text: DOI
Han, J.-B.; Liew, K. M. Static analysis of Mindlin plates: The differential quadrature element method (DQEM). (English) Zbl 0979.74079 Comput. Methods Appl. Mech. Eng. 177, No. 1-2, 51-75 (1999). MSC: 74S30 74K20 PDFBibTeX XMLCite \textit{J. B. Han} and \textit{K. M. Liew}, Comput. Methods Appl. Mech. Eng. 177, No. 1--2, 51--75 (1999; Zbl 0979.74079) Full Text: DOI
Boyd, John P.; Flyer, Natasha Compatibility conditions for time-dependent partial differential equations and the rate of convergence of Chebyshev and Fourier spectral methods. (English) Zbl 0932.65109 Comput. Methods Appl. Mech. Eng. 175, No. 3-4, 281-309 (1999). Reviewer: W.Heinrichs (Essen) MSC: 65M70 65M12 35K55 PDFBibTeX XMLCite \textit{J. P. Boyd} and \textit{N. Flyer}, Comput. Methods Appl. Mech. Eng. 175, No. 3--4, 281--309 (1999; Zbl 0932.65109) Full Text: DOI
Hsiao, G. C.; Schnack, E.; Wendland, W. L. A hybrid coupled finite-boundary element method in elasticity. (English) Zbl 0957.74051 Comput. Methods Appl. Mech. Eng. 173, No. 3-4, 287-316 (1999). Reviewer: Z.Dżygadło (Warszawa) MSC: 74S05 74S15 74B05 74G15 PDFBibTeX XMLCite \textit{G. C. Hsiao} et al., Comput. Methods Appl. Mech. Eng. 173, No. 3--4, 287--316 (1999; Zbl 0957.74051) Full Text: DOI
Kaljević, Igor; Patnaik, Surya N.; Hopkins, Dale A. Treatment of initial deformations in the integrated force method. (English) Zbl 0898.73064 Comput. Methods Appl. Mech. Eng. 140, No. 3-4, 281-289 (1997). MSC: 74S05 74K99 PDFBibTeX XMLCite \textit{I. Kaljević} et al., Comput. Methods Appl. Mech. Eng. 140, No. 3--4, 281--289 (1997; Zbl 0898.73064) Full Text: DOI
Codina, Ramon; Blasco, Jordi A finite element formulation for the Stokes problem allowing equal velocity-pressure interpolation. (English) Zbl 0893.76040 Comput. Methods Appl. Mech. Eng. 143, No. 3-4, 373-391 (1997). MSC: 76M10 76D07 PDFBibTeX XMLCite \textit{R. Codina} and \textit{J. Blasco}, Comput. Methods Appl. Mech. Eng. 143, No. 3--4, 373--391 (1997; Zbl 0893.76040) Full Text: DOI
Underhill, W. R. C.; Dokainish, M. A.; Oravas, G.Æ. A method for contact problems using virtual elements. (English) Zbl 0892.73050 Comput. Methods Appl. Mech. Eng. 143, No. 3-4, 229-247 (1997). MSC: 74A55 74M15 74P99 74S05 PDFBibTeX XMLCite \textit{W. R. C. Underhill} et al., Comput. Methods Appl. Mech. Eng. 143, No. 3--4, 229--247 (1997; Zbl 0892.73050) Full Text: DOI
Anghel, Calin I. A study concerning elastic analysis of disk centrifugal separators. (English) Zbl 0892.73020 Comput. Methods Appl. Mech. Eng. 144, No. 3-4, 275-285 (1997). MSC: 74H45 74K20 PDFBibTeX XMLCite \textit{C. I. Anghel}, Comput. Methods Appl. Mech. Eng. 144, No. 3--4, 275--285 (1997; Zbl 0892.73020) Full Text: DOI
Argyris, John; Kačianauskas, Rimantas Semi-analytical finite elements in the higher-order theory of beams. (English) Zbl 0918.73122 Comput. Methods Appl. Mech. Eng. 138, No. 1-4, 19-72 (1996). MSC: 74S05 74K10 PDFBibTeX XMLCite \textit{J. Argyris} and \textit{R. Kačianauskas}, Comput. Methods Appl. Mech. Eng. 138, No. 1--4, 19--72 (1996; Zbl 0918.73122) Full Text: DOI
Chang, C. L.; Yang, S. Y.; Hsu, C. H. A least-squares finite element method for incompressible flow in stress-velocity-pressure version. (English) Zbl 0866.76043 Comput. Methods Appl. Mech. Eng. 128, No. 1-2, 1-9 (1995). MSC: 76M10 76D05 PDFBibTeX XMLCite \textit{C. L. Chang} et al., Comput. Methods Appl. Mech. Eng. 128, No. 1--2, 1--9 (1995; Zbl 0866.76043) Full Text: DOI
Bernadou, Michel; Boisserie, Jean-Marie Curved finite elements of class \(C^ 1\): Implementation and numerical experiments. I: Construction and numerical tests of the interpolation properties. (English) Zbl 0783.73065 Comput. Methods Appl. Mech. Eng. 106, No. 1-2, 229-269 (1993). MSC: 74S05 65N30 PDFBibTeX XMLCite \textit{M. Bernadou} and \textit{J.-M. Boisserie}, Comput. Methods Appl. Mech. Eng. 106, No. 1--2, 229--269 (1993; Zbl 0783.73065) Full Text: DOI
Farhat, Charbel; Geradin, M. Using a reduced number of Lagrange multipliers for assembling parallel incomplete field finite element approximations. (English) Zbl 0826.73056 Comput. Methods Appl. Mech. Eng. 97, No. 3, 333-354 (1992). Reviewer: Cz.I.Bajer (Warszawa) MSC: 74S05 65N30 65N55 PDFBibTeX XMLCite \textit{C. Farhat} and \textit{M. Geradin}, Comput. Methods Appl. Mech. Eng. 97, No. 3, 333--354 (1992; Zbl 0826.73056) Full Text: DOI
Kirsch, Uri Optimal topologies of truss structures. (English) Zbl 0675.73058 Comput. Methods Appl. Mech. Eng. 72, No. 1, 15-28 (1989). MSC: 74P99 PDFBibTeX XMLCite \textit{U. Kirsch}, Comput. Methods Appl. Mech. Eng. 72, No. 1, 15--28 (1989; Zbl 0675.73058) Full Text: DOI
Kanarachos, A.; Provatidis, Ch. On the symmetrization of the BEM formulation. (English) Zbl 0674.73060 Comput. Methods Appl. Mech. Eng. 71, No. 2, 151-165 (1988). MSC: 74S30 PDFBibTeX XMLCite \textit{A. Kanarachos} and \textit{Ch. Provatidis}, Comput. Methods Appl. Mech. Eng. 71, No. 2, 151--165 (1988; Zbl 0674.73060) Full Text: DOI
Belytschko, Ted; Fish, Jacob; Engelmann, Bruce E. A finite element with embedded localization zones. (English) Zbl 0653.73032 Comput. Methods Appl. Mech. Eng. 70, No. 1, 59-89 (1988). MSC: 74S05 74R99 74S30 PDFBibTeX XMLCite \textit{T. Belytschko} et al., Comput. Methods Appl. Mech. Eng. 70, No. 1, 59--89 (1988; Zbl 0653.73032) Full Text: DOI
Chen, Yiheng Solution of stiffened problems for a finite internally cracked plate by using complex potentials and the generalized variational method. (English) Zbl 0607.73068 Comput. Methods Appl. Mech. Eng. 62, 1-16 (1987). MSC: 74E30 74S05 74R05 74G70 74S30 PDFBibTeX XMLCite \textit{Y. Chen}, Comput. Methods Appl. Mech. Eng. 62, 1--16 (1987; Zbl 0607.73068) Full Text: DOI
Patnaik, S. N.; Joseph, K. T. Generation of the compatibility matrix in the integrated force method. (English) Zbl 0571.73091 Comput. Methods Appl. Mech. Eng. 55, 239-257 (1986). MSC: 74S30 74-04 PDFBibTeX XMLCite \textit{S. N. Patnaik} and \textit{K. T. Joseph}, Comput. Methods Appl. Mech. Eng. 55, 239--257 (1986; Zbl 0571.73091) Full Text: DOI
Nyssen, C.; Beckers, P. A unified approach for displacement, equilibrium and hybrid finite element models in elasto-plasticity. (English) Zbl 0535.73056 Comput. Methods Appl. 44, 131-151 (1984). MSC: 74S05 74S30 74S99 49M15 PDFBibTeX XMLCite \textit{C. Nyssen} and \textit{P. Beckers}, Comput. Methods Appl. Mech. Eng. 44, 131--151 (1984; Zbl 0535.73056) Full Text: DOI
Venkatesh, Agaram; Rao, K. P. Analysis of laminated shells with laminated stiffeners using rectangular shell finite elements. (English) Zbl 0497.73073 Comput. Methods Appl. Mech. Eng. 38, 255-272 (1983). MSC: 74S05 74K15 74E10 74E30 PDFBibTeX XMLCite \textit{A. Venkatesh} and \textit{K. P. Rao}, Comput. Methods Appl. Mech. Eng. 38, 255--272 (1983; Zbl 0497.73073) Full Text: DOI
Le Tallec, P. Compatibility condition and existence results in discrete finite incompressible elasticity. (English) Zbl 0524.73042 Comput. Methods Appl. Mech. Eng. 27, 239-259 (1981). MSC: 74B20 74B99 74H99 74S05 PDFBibTeX XMLCite \textit{P. Le Tallec}, Comput. Methods Appl. Mech. Eng. 27, 239--259 (1981; Zbl 0524.73042) Full Text: DOI
Ruas, Vitoriano A class of asymmetric simplicial finite element methods for solving finite incompressible elasticity problems. (English) Zbl 0467.73098 Comput. Methods Appl. Mech. Eng. 27, 319-343 (1981). MSC: 74S05 74B20 49M29 PDFBibTeX XMLCite \textit{V. Ruas}, Comput. Methods Appl. Mech. Eng. 27, 319--343 (1981; Zbl 0467.73098) Full Text: DOI
Tabarrok, B.; Dost, S. Some variational formulations for large deformation analysis of plates. (English) Zbl 0449.73065 Comput. Methods Appl. Mech. Eng. 22, 279-288 (1980). MSC: 74K20 49R50 49S05 74A20 74S05 74B10 PDFBibTeX XMLCite \textit{B. Tabarrok} and \textit{S. Dost}, Comput. Methods Appl. Mech. Eng. 22, 279--288 (1980; Zbl 0449.73065) Full Text: DOI