Vasilyeva, Maria; Mallikarjunaiah, S. M. Generalized multiscale finite element treatment of a heterogeneous nonlinear strain-limiting elastic model. (English) Zbl 07813978 Multiscale Model. Simul. 22, No. 1, 334-368 (2024). MSC: 65N30 65N50 74B20 74R10 74S05 35P99 35Q74 PDFBibTeX XMLCite \textit{M. Vasilyeva} and \textit{S. M. Mallikarjunaiah}, Multiscale Model. Simul. 22, No. 1, 334--368 (2024; Zbl 07813978) Full Text: DOI
Dai, Ming; Schiavone, Peter Discussion of the linearized version of the Steigmann-Ogden surface model in plane deformation and its application to inclusion problems. (English) Zbl 07749667 Int. J. Eng. Sci. 192, Article ID 103931, 11 p. (2023). MSC: 74-XX 76-XX PDFBibTeX XMLCite \textit{M. Dai} and \textit{P. Schiavone}, Int. J. Eng. Sci. 192, Article ID 103931, 11 p. (2023; Zbl 07749667) Full Text: DOI
Gou, Kun; Mallikarjunaiah, S. M. Computational modeling of circular crack-tip fields under tensile loading in a strain-limiting elastic solid. (English) Zbl 1512.74086 Commun. Nonlinear Sci. Numer. Simul. 121, Article ID 107217, 15 p. (2023). MSC: 74R10 74S05 74G70 74B15 74B20 PDFBibTeX XMLCite \textit{K. Gou} and \textit{S. M. Mallikarjunaiah}, Commun. Nonlinear Sci. Numer. Simul. 121, Article ID 107217, 15 p. (2023; Zbl 1512.74086) Full Text: DOI
Zemlyanova, Anna Y.; White, Lauren M. Axisymmetric frictionless indentation of a rigid stamp into a semi-space with a surface energetic boundary. (English) Zbl 07590427 Math. Mech. Solids 27, No. 2, 334-347 (2022). MSC: 74-XX PDFBibTeX XMLCite \textit{A. Y. Zemlyanova} and \textit{L. M. White}, Math. Mech. Solids 27, No. 2, 334--347 (2022; Zbl 07590427) Full Text: DOI
Yoon, Hyun C.; Mallikarjunaiah, S. M. A finite-element discretization of some boundary value problems for nonlinear strain-limiting elastic bodies. (English) Zbl 07590424 Math. Mech. Solids 27, No. 2, 281-307 (2022). MSC: 74-XX PDFBibTeX XMLCite \textit{H. C. Yoon} and \textit{S. M. Mallikarjunaiah}, Math. Mech. Solids 27, No. 2, 281--307 (2022; Zbl 07590424) Full Text: DOI
Yoon, Hyun Chul; Vasudeva, Karthik K.; Mallikarjunaiah, S. M. Finite element model for a coupled thermo-mechanical system in nonlinear strain-limiting thermoelastic body. (English) Zbl 1482.74159 Commun. Nonlinear Sci. Numer. Simul. 108, Article ID 106262, 24 p. (2022). MSC: 74S05 74F05 74B15 74G70 PDFBibTeX XMLCite \textit{H. C. Yoon} et al., Commun. Nonlinear Sci. Numer. Simul. 108, Article ID 106262, 24 p. (2022; Zbl 1482.74159) Full Text: DOI arXiv
Lee, Sanghyun; Yoon, Hyun Chul; Mallikarjunaiah, S. M. Finite element simulation of quasi-static tensile fracture In nonlinear strain-limiting solids with the phase-field approach. (English) Zbl 1524.74402 J. Comput. Appl. Math. 399, Article ID 113715, 21 p. (2022). MSC: 74R10 74B20 74S05 74F10 35Q74 PDFBibTeX XMLCite \textit{S. Lee} et al., J. Comput. Appl. Math. 399, Article ID 113715, 21 p. (2022; Zbl 1524.74402) Full Text: DOI
Zemlyanova, Anna Y. Interaction of multiple plane straight fractures in the presence of the Steigmann-Ogden surface energy. (English) Zbl 1448.74094 SIAM J. Appl. Math. 80, No. 5, 2098-2119 (2020). MSC: 74R10 74B05 74S70 74K20 35Q74 PDFBibTeX XMLCite \textit{A. Y. Zemlyanova}, SIAM J. Appl. Math. 80, No. 5, 2098--2119 (2020; Zbl 1448.74094) Full Text: DOI
Yang, Ying; Hu, Zhen-Liang; Li, Xian-Fang Cracked elastic layer with surface elasticity under antiplane shear loading. (English) Zbl 1440.74054 Acta Mech. 231, No. 7, 3085-3098 (2020). MSC: 74A60 PDFBibTeX XMLCite \textit{Y. Yang} et al., Acta Mech. 231, No. 7, 3085--3098 (2020; Zbl 1440.74054) Full Text: DOI
Zemlyanova, Anna Y.; Machina, Alexia A new B-spline collocation method for singular integro-differential equations of higher orders. (English) Zbl 1452.65415 J. Comput. Appl. Math. 380, Article ID 112949, 12 p. (2020). Reviewer: Fritz Keinert (Ames) MSC: 65R20 45E05 45J05 65L60 74B10 PDFBibTeX XMLCite \textit{A. Y. Zemlyanova} and \textit{A. Machina}, J. Comput. Appl. Math. 380, Article ID 112949, 12 p. (2020; Zbl 1452.65415) Full Text: DOI
Zemlyanova, Anna Y. An adhesive contact problem for a semi-plane with a surface elasticity in the Steigmann-Ogden form. (English) Zbl 1415.74008 J. Elasticity 136, No. 1, 103-121 (2019). MSC: 74B05 45J05 PDFBibTeX XMLCite \textit{A. Y. Zemlyanova}, J. Elasticity 136, No. 1, 103--121 (2019; Zbl 1415.74008) Full Text: DOI
Zemlyanova, Anna Y. Frictionless contact of a rigid stamp with a semi-plane in the presence of surface elasticity in the Steigmann-Ogden form. (English) Zbl 1401.74225 Math. Mech. Solids 23, No. 8, 1140-1155 (2018). MSC: 74M15 74S70 74G10 PDFBibTeX XMLCite \textit{A. Y. Zemlyanova}, Math. Mech. Solids 23, No. 8, 1140--1155 (2018; Zbl 1401.74225) Full Text: DOI
Acharya, Amit Fracture and singularities of the mass-density gradient field. (English) Zbl 1395.74080 J. Elasticity 132, No. 2, 243-260 (2018). MSC: 74R10 74R20 PDFBibTeX XMLCite \textit{A. Acharya}, J. Elasticity 132, No. 2, 243--260 (2018; Zbl 1395.74080) Full Text: DOI
Rungamornrat, Jaroon; Tuttipongsawat, Porjan; Senjuntichai, Teerapong Elastic layer under axisymmetric surface loads and influence of surface stresses. (English) Zbl 1446.74050 Appl. Math. Modelling 40, No. 2, 1532-1553 (2016). MSC: 74-10 74K35 74A60 PDFBibTeX XMLCite \textit{J. Rungamornrat} et al., Appl. Math. Modelling 40, No. 2, 1532--1553 (2016; Zbl 1446.74050) Full Text: DOI
Dineva, Petia; Rangelov, Tsviatko Wave scattering by cracks at macro- and nano-scale in anisotropic plane by boundary integral equation method. (English) Zbl 1411.35248 J. Theor. Appl. Mech., Sofia 46, No. 4, 19-35 (2016). MSC: 35Q74 74S15 74H35 PDFBibTeX XMLCite \textit{P. Dineva} and \textit{T. Rangelov}, J. Theor. Appl. Mech., Sofia 46, No. 4, 19--35 (2016; Zbl 1411.35248) Full Text: DOI
Walton, Jay R.; Zemlyanova, Anna Y. A rigid stamp indentation into a semiplane with a curvature-dependent surface tension on the boundary. (English) Zbl 1332.74010 SIAM J. Appl. Math. 76, No. 2, 618-640 (2016). MSC: 74B20 74G70 74R10 PDFBibTeX XMLCite \textit{J. R. Walton} and \textit{A. Y. Zemlyanova}, SIAM J. Appl. Math. 76, No. 2, 618--640 (2016; Zbl 1332.74010) Full Text: DOI
Bulíček, Miroslav; Málek, Josef; Rajagopal, K. R.; Walton, Jay R. Existence of solutions for the anti-plane stress for a new class of “strain-limiting” elastic bodies. (English) Zbl 1329.35302 Calc. Var. Partial Differ. Equ. 54, No. 2, 2115-2147 (2015). MSC: 35Q74 74B20 49Q05 74P10 PDFBibTeX XMLCite \textit{M. Bulíček} et al., Calc. Var. Partial Differ. Equ. 54, No. 2, 2115--2147 (2015; Zbl 1329.35302) Full Text: DOI
Rajagopal, K. R. On the nonlinear elastic response of bodies in the small strain range. (English) Zbl 1401.74045 Acta Mech. 225, No. 6, 1545-1553 (2014). MSC: 74B20 74B15 PDFBibTeX XMLCite \textit{K. R. Rajagopal}, Acta Mech. 225, No. 6, 1545--1553 (2014; Zbl 1401.74045) Full Text: DOI
Walton, Jay R. Plane-strain fracture with curvature-dependent surface tension: mixed-mode loading. (English) Zbl 1282.74082 J. Elasticity 114, No. 1, 127-142 (2014). MSC: 74R10 45J05 35Q74 PDFBibTeX XMLCite \textit{J. R. Walton}, J. Elasticity 114, No. 1, 127--142 (2014; Zbl 1282.74082) Full Text: DOI
Walton, Jay R. A note on fracture models incorporating surface elasticity. (English) Zbl 1311.74107 J. Elasticity 109, No. 1, 95-102 (2012). MSC: 74R10 45J05 74B15 PDFBibTeX XMLCite \textit{J. R. Walton}, J. Elasticity 109, No. 1, 95--102 (2012; Zbl 1311.74107) Full Text: DOI
Rajagopal, K. R.; Walton, J. R. Modeling fracture in the context of a strain-limiting theory of elasticity: a single anti-plane shear crack. (English) Zbl 1283.74074 Int. J. Fract. 169, No. 1, 39-48 (2011). MSC: 74R10 74B99 PDFBibTeX XMLCite \textit{K. R. Rajagopal} and \textit{J. R. Walton}, Int. J. Fract. 169, No. 1, 39--48 (2011; Zbl 1283.74074) Full Text: DOI
Kim, C. I.; Schiavone, P.; Ru, C.-Q. Analysis of plane-strain crack problems (mode-I & mode-II) in the presence of surface elasticity. (English) Zbl 1300.74048 J. Elasticity 104, No. 1-2, 397-420 (2011). MSC: 74R10 74G10 PDFBibTeX XMLCite \textit{C. I. Kim} et al., J. Elasticity 104, No. 1--2, 397--420 (2011; Zbl 1300.74048) Full Text: DOI