Eremeyev, Victor A.; Naumenko, Konstantin M-integral for finite anti-plane shear of a nonlinear elastic matrix with rigid inclusions. (English) Zbl 07816981 Int. J. Eng. Sci. 196, Article ID 104009, 14 p. (2024). MSC: 74-XX 45-XX PDFBibTeX XMLCite \textit{V. A. Eremeyev} and \textit{K. Naumenko}, Int. J. Eng. Sci. 196, Article ID 104009, 14 p. (2024; Zbl 07816981) Full Text: DOI
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
Rajagopal, K. R.; Bustamante, R. Constitutive relations for anisotropic porous solids undergoing small strains whose material moduli depend on the density and the pressure. (English) Zbl 07791668 Int. J. Eng. Sci. 195, Article ID 104005, 7 p. (2024). MSC: 74-XX 76-XX PDFBibTeX XMLCite \textit{K. R. Rajagopal} and \textit{R. Bustamante}, Int. J. Eng. Sci. 195, Article ID 104005, 7 p. (2024; Zbl 07791668) Full Text: DOI
Lerbet, Jean; Challamel, Noël; Nicot, Francois; Darve, Félix Intrinsic incremental evolution of hypoelastic discrete mechanical systems. (English) Zbl 07801473 ZAMM, Z. Angew. Math. Mech. 103, No. 11, Article ID e202300078, 20 p. (2023). MSC: 74B20 74E20 53Z05 PDFBibTeX XMLCite \textit{J. Lerbet} et al., ZAMM, Z. Angew. Math. Mech. 103, No. 11, Article ID e202300078, 20 p. (2023; Zbl 07801473) Full Text: DOI
Rajagopal, K. R.; Rodriguez, C. On an elastic strain-limiting special Cosserat rod model. (English) Zbl 1517.74059 Math. Models Methods Appl. Sci. 33, No. 1, 1-30 (2023). MSC: 74K10 74B20 74G60 PDFBibTeX XMLCite \textit{K. R. Rajagopal} and \textit{C. Rodriguez}, Math. Models Methods Appl. Sci. 33, No. 1, 1--30 (2023; Zbl 1517.74059) Full Text: DOI arXiv
Anssari-Benam, Afshin Large isotropic elastic deformations: on a comprehensive model to correlate the theory and experiments for incompressible rubber-like materials. (English) Zbl 1521.74023 J. Elasticity 153, No. 2, 219-244 (2023). MSC: 74B20 74A20 PDFBibTeX XMLCite \textit{A. Anssari-Benam}, J. Elasticity 153, No. 2, 219--244 (2023; Zbl 1521.74023) 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
Bustamante, Roger; Rajagopal, Kumbakonam R. On the response of anisotropic elastic bodies described by implicit constitutive relations. (English) Zbl 07815580 ZAMM, Z. Angew. Math. Mech. 102, No. 6, Article ID e202200029, 14 p. (2022). MSC: 74Bxx 74Axx 74-XX PDFBibTeX XMLCite \textit{R. Bustamante} and \textit{K. R. Rajagopal}, ZAMM, Z. Angew. Math. Mech. 102, No. 6, Article ID e202200029, 14 p. (2022; Zbl 07815580) Full Text: DOI
Şengül, Yasemin Global existence of solutions for the one-dimensional response of viscoelastic solids within the context of strain-limiting theory. (English) Zbl 1506.74078 Español, Malena I. (ed.) et al., Research in mathematics of materials science. Cham: Springer. Assoc. Women Math. Ser. 31, 319-332 (2022). Reviewer: Vinod K. Arya (Dallas) MSC: 74D10 74A20 74H20 35Q74 PDFBibTeX XMLCite \textit{Y. Şengül}, Assoc. Women Math. Ser. 31, 319--332 (2022; Zbl 1506.74078) Full Text: DOI
Rodriguez, Casey Longitudinal shock waves in a class of semi-infinite stretch-limited elastic strings. (English) Zbl 07590435 Math. Mech. Solids 27, No. 3, 474-490 (2022). MSC: 74-XX PDFBibTeX XMLCite \textit{C. Rodriguez}, Math. Mech. Solids 27, No. 3, 474--490 (2022; Zbl 07590435) Full Text: DOI arXiv
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
Itou, Hiromichi; Kovtunenko, Victor A.; Rajagopal, Kumbakonam R. Investigation of implicit constitutive relations in which both the stress and strain appear linearly, adjacent to non-penetrating cracks. (English) Zbl 1495.35170 Math. Models Methods Appl. Sci. 32, No. 7, 1475-1492 (2022). MSC: 35Q74 35J88 49J52 74A20 PDFBibTeX XMLCite \textit{H. Itou} et al., Math. Models Methods Appl. Sci. 32, No. 7, 1475--1492 (2022; Zbl 1495.35170) Full Text: DOI
Ibarra, R.; Bustamante, R. Analysis of the propagation of small-amplitude waves in nonlinear elastic solids for problems with infinitesimal strains. (English) Zbl 1524.74061 Wave Motion 113, Article ID 102985, 15 p. (2022). MSC: 74B20 74L05 PDFBibTeX XMLCite \textit{R. Ibarra} and \textit{R. Bustamante}, Wave Motion 113, Article ID 102985, 15 p. (2022; Zbl 1524.74061) Full Text: DOI
Bustamante, R.; Rajagopal, K. R. A three-dimensional implicit constitutive relation to describe stress softening. II: Analysis of some boundary value problems. (English) Zbl 1501.74005 Acta Mech. 233, No. 8, 3319-3335 (2022). MSC: 74A20 74B99 74C99 PDFBibTeX XMLCite \textit{R. Bustamante} and \textit{K. R. Rajagopal}, Acta Mech. 233, No. 8, 3319--3335 (2022; Zbl 1501.74005) Full Text: DOI
Chen, Weiting; Zhao, Ya-Pu Thermo-mechanically coupled constitutive equations for soft elastomers with arbitrary initial states. (English) Zbl 07575012 Int. J. Eng. Sci. 178, Article ID 103730, 30 p. (2022). MSC: 74-XX 81-XX PDFBibTeX XMLCite \textit{W. Chen} and \textit{Y.-P. Zhao}, Int. J. Eng. Sci. 178, Article ID 103730, 30 p. (2022; Zbl 07575012) Full Text: DOI
Bustamante, R.; Rajagopal, K. R. A three-dimensional implicit constitutive relation for a body exhibiting stress softening. I: Theoretical underpinnings. (English) Zbl 1494.74003 Acta Mech. 233, No. 7, 2541-2559 (2022). MSC: 74A20 74A15 74C05 74B99 PDFBibTeX XMLCite \textit{R. Bustamante} and \textit{K. R. Rajagopal}, Acta Mech. 233, No. 7, 2541--2559 (2022; Zbl 1494.74003) Full Text: DOI
Garimella, Sai Manikiran; Anand, Mohan; Rajagopal, Kumbakonam R. A new model to describe the response of a class of seemingly viscoplastic materials. (English) Zbl 07511499 Appl. Math., Praha 67, No. 2, 153-165 (2022). MSC: 34B60 PDFBibTeX XMLCite \textit{S. M. Garimella} et al., Appl. Math., Praha 67, No. 2, 153--165 (2022; Zbl 07511499) 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
Murru, Pavitra; Rajagopal, K. R. Stress concentration due to the bi-axial deformation of a plate of a porous elastic body with a hole. (English) Zbl 07813204 ZAMM, Z. Angew. Math. Mech. 101, No. 11, Article ID e202100103, 8 p. (2021). MSC: 74Bxx 76Axx 74Axx PDFBibTeX XMLCite \textit{P. Murru} and \textit{K. R. Rajagopal}, ZAMM, Z. Angew. Math. Mech. 101, No. 11, Article ID e202100103, 8 p. (2021; Zbl 07813204) Full Text: DOI
Rajagopal, K. R.; Wineman, A. A note on viscoelastic bodies whose material properties depend on the density. (English) Zbl 07589914 Math. Mech. Solids 26, No. 11, 1726-1731 (2021). MSC: 74-XX PDFBibTeX XMLCite \textit{K. R. Rajagopal} and \textit{A. Wineman}, Math. Mech. Solids 26, No. 11, 1726--1731 (2021; Zbl 07589914) Full Text: DOI
Rajagopal, K. R. An implicit constitutive relation for describing the small strain response of porous elastic solids whose material moduli are dependent on the density. (English) Zbl 07582889 Math. Mech. Solids 26, No. 8, 1138-1146 (2021). MSC: 74-XX PDFBibTeX XMLCite \textit{K. R. Rajagopal}, Math. Mech. Solids 26, No. 8, 1138--1146 (2021; Zbl 07582889) Full Text: DOI
Gu, Diandian; Dai, Hui-Hui; Xu, Fan Buckling of an elastic layer based on implicit constitution: incremental theory and numerical framework. (English) Zbl 07444785 Int. J. Eng. Sci. 169, Article ID 103568, 17 p. (2021). MSC: 74-XX 92-XX PDFBibTeX XMLCite \textit{D. Gu} et al., Int. J. Eng. Sci. 169, Article ID 103568, 17 p. (2021; Zbl 07444785) Full Text: DOI
Bustamante, R.; Rajagopal, K. R. A class of transversely isotropic non-linear elastic bodies that is not Green elastic. (English) Zbl 1483.35248 J. Eng. Math. 127, Paper No. 2, 19 p. (2021). MSC: 35Q74 74B20 74A05 PDFBibTeX XMLCite \textit{R. Bustamante} and \textit{K. R. Rajagopal}, J. Eng. Math. 127, Paper No. 2, 19 p. (2021; Zbl 1483.35248) Full Text: DOI
Bustamante, R.; Rajagopal, K. R. The circumferential shearing of a cylindrical annulus of viscoelastic solids described by implicit constitutive relations. (English) Zbl 1486.74016 Acta Mech. 232, No. 7, 2679-2694 (2021). MSC: 74D99 74A20 PDFBibTeX XMLCite \textit{R. Bustamante} and \textit{K. R. Rajagopal}, Acta Mech. 232, No. 7, 2679--2694 (2021; Zbl 1486.74016) Full Text: DOI
Anssari-Benam, Afshin; Bucchi, Andrea; Saccomandi, Giuseppe On the central role of the invariant \(I_2\) in nonlinear elasticity. (English) Zbl 07375789 Int. J. Eng. Sci. 163, Article ID 103486, 27 p. (2021). MSC: 74-XX 92-XX PDFBibTeX XMLCite \textit{A. Anssari-Benam} et al., Int. J. Eng. Sci. 163, Article ID 103486, 27 p. (2021; Zbl 07375789) Full Text: DOI
Şengül, Yasemin Viscoelasticity with limiting strain. (English) Zbl 1454.74026 Discrete Contin. Dyn. Syst., Ser. S 14, No. 1, 57-70 (2021). MSC: 74D99 74A20 35Q74 74A05 74A10 PDFBibTeX XMLCite \textit{Y. Şengül}, Discrete Contin. Dyn. Syst., Ser. S 14, No. 1, 57--70 (2021; Zbl 1454.74026) Full Text: DOI
Shariff, M. H. B. M.; Bustamante, R. A spectral approach for nonlinear transversely isotropic elastic bodies, for a new class of constitutive equation: applications to rock mechanics. (English) Zbl 1457.74188 Acta Mech. 231, No. 11, 4803-4818 (2020). MSC: 74S25 74L10 PDFBibTeX XMLCite \textit{M. H. B. M. Shariff} and \textit{R. Bustamante}, Acta Mech. 231, No. 11, 4803--4818 (2020; Zbl 1457.74188) Full Text: DOI
Bustamante, Roger Corrigendum to: “Direct determination of stresses from the stress equations of motion and wave propagation for a new class of elastic bodies”. (English) Zbl 1446.74142 Math. Mech. Solids 25, No. 3, 866-868 (2020). MSC: 74J10 74B99 74A10 PDFBibTeX XMLCite \textit{R. Bustamante}, Math. Mech. Solids 25, No. 3, 866--868 (2020; Zbl 1446.74142) Full Text: DOI
Bustamante, R. Some universal solutions for incompressible elastic bodies that are not Green elastic. (English) Zbl 1476.74009 Int. J. Eng. Sci. 149, Article ID 103223, 11 p. (2020). MSC: 74B20 74A20 PDFBibTeX XMLCite \textit{R. Bustamante}, Int. J. Eng. Sci. 149, Article ID 103223, 11 p. (2020; Zbl 1476.74009) Full Text: DOI
Höller, Raphael; Smejkal, Valerie; Libisch, Florian; Hellmich, Christian Energy landscapes of graphene under general deformations: DFT-to-hyperelasticity upscaling. (English) Zbl 07228673 Int. J. Eng. Sci. 154, Article ID 103342, 31 p. (2020). MSC: 74-XX 82-XX PDFBibTeX XMLCite \textit{R. Höller} et al., Int. J. Eng. Sci. 154, Article ID 103342, 31 p. (2020; Zbl 07228673) Full Text: DOI
Fu, Shubin; Chung, Eric; Mai, Tina Constraint energy minimizing generalized multiscale finite element method for nonlinear poroelasticity and elasticity. (English) Zbl 1437.74026 J. Comput. Phys. 417, Article ID 109569, 25 p. (2020). MSC: 74S05 74B20 65M60 PDFBibTeX XMLCite \textit{S. Fu} et al., J. Comput. Phys. 417, Article ID 109569, 25 p. (2020; Zbl 1437.74026) Full Text: DOI arXiv
Bustamante, Roger; Rajagopal, Kumbakonam A review of implicit constitutive theories to describe the response of elastic bodies. (English) Zbl 1445.74004 Merodio, José (ed.) et al., Constitutive modelling of solid continua. Based on the international workshop on modelling of nonlinear continua, Castro Urdiales, Spain, June 26–30, 2017. Cham: Springer. Solid Mech. Appl. 262, 187-230 (2020). MSC: 74A20 74B99 74F15 74F05 74-02 PDFBibTeX XMLCite \textit{R. Bustamante} and \textit{K. Rajagopal}, Solid Mech. Appl. 262, 187--230 (2020; Zbl 1445.74004) Full Text: DOI
Erbay, H. A.; Şengül, Y. A thermodynamically consistent stress-rate type model of one-dimensional strain-limiting viscoelasticity. (English) Zbl 1435.74007 Z. Angew. Math. Phys. 71, No. 3, Paper No. 94, 10 p. (2020). MSC: 74A15 74D05 74D10 74A05 74A10 74A20 74B05 PDFBibTeX XMLCite \textit{H. A. Erbay} and \textit{Y. Şengül}, Z. Angew. Math. Phys. 71, No. 3, Paper No. 94, 10 p. (2020; Zbl 1435.74007) Full Text: DOI arXiv
Bustamante, Roger New classes of electro-elastic and thermo-electro-elastic bodies that are not Green elastic. (English) Zbl 07205508 Int. J. Eng. Sci. 152, Article ID 103308, 17 p. (2020); corrigendum ibid. 195, Article ID 103967, 2 p. (2024)]. MSC: 74-XX 35-XX PDFBibTeX XMLCite \textit{R. Bustamante}, Int. J. Eng. Sci. 152, Article ID 103308, 17 p. (2020; Zbl 07205508) Full Text: DOI
Fu, Shubin; Chung, Eric; Mai, Tina Generalized multiscale finite element method for a strain-limiting nonlinear elasticity model. (English) Zbl 1416.74084 J. Comput. Appl. Math. 359, 153-165 (2019). MSC: 74S05 74B20 65N30 PDFBibTeX XMLCite \textit{S. Fu} et al., J. Comput. Appl. Math. 359, 153--165 (2019; Zbl 1416.74084) Full Text: DOI arXiv
Rajagopal, K. R.; Srinivasa, A. R. Some remarks and clarifications concerning the restrictions placed on thermodynamic processes. (English) Zbl 1423.80009 Int. J. Eng. Sci. 140, 26-34 (2019). MSC: 80A10 PDFBibTeX XMLCite \textit{K. R. Rajagopal} and \textit{A. R. Srinivasa}, Int. J. Eng. Sci. 140, 26--34 (2019; Zbl 1423.80009) Full Text: DOI
Kulvait, Vojtěch; Málek, Josef; Rajagopal, K. R. The state of stress and strain adjacent to notches in a new class of nonlinear elastic bodies. (English) Zbl 1415.74011 J. Elasticity 135, No. 1-2, 375-397 (2019). MSC: 74B20 74B15 35Q74 PDFBibTeX XMLCite \textit{V. Kulvait} et al., J. Elasticity 135, No. 1--2, 375--397 (2019; Zbl 1415.74011) Full Text: DOI
Itou, Hiromichi; Kovtunenko, Victor A.; Rajagopal, Kumbakonam R. Crack problem within the context of implicitly constituted quasi-linear viscoelasticity. (English) Zbl 1411.35249 Math. Models Methods Appl. Sci. 29, No. 2, 355-372 (2019). MSC: 35Q74 49J52 74D10 PDFBibTeX XMLCite \textit{H. Itou} et al., Math. Models Methods Appl. Sci. 29, No. 2, 355--372 (2019; Zbl 1411.35249) Full Text: DOI
Meneses, R.; Orellana, O.; Bustamante, R. A note on the wave equation for a class of constitutive relations for nonlinear elastic bodies that are not Green elastic. (English) Zbl 1391.74110 Math. Mech. Solids 23, No. 2, 148-158 (2018). MSC: 74J10 74B20 PDFBibTeX XMLCite \textit{R. Meneses} et al., Math. Mech. Solids 23, No. 2, 148--158 (2018; Zbl 1391.74110) Full Text: DOI
Bustamante, R.; Rajagopal, K. R. A nonlinear model for describing the mechanical behaviour of rock. (English) Zbl 1381.74148 Acta Mech. 229, No. 1, 251-272 (2018). MSC: 74L10 74D10 PDFBibTeX XMLCite \textit{R. Bustamante} and \textit{K. R. Rajagopal}, Acta Mech. 229, No. 1, 251--272 (2018; Zbl 1381.74148) Full Text: DOI
Freed, A. D. A note on stress/strain conjugate pairs: explicit and implicit theories of thermoelasticity for anisotropic materials. (English) Zbl 1423.74018 Int. J. Eng. Sci. 120, 155-171 (2017). MSC: 74A10 74B20 65F25 74A05 74A15 74A20 PDFBibTeX XMLCite \textit{A. D. Freed}, Int. J. Eng. Sci. 120, 155--171 (2017; Zbl 1423.74018) Full Text: DOI
Burczak, Jan; Málek, Josef; Minakowski, Piotr Stress-diffusive regularizations of non-dissipative rate-type materials. (English) Zbl 1369.35089 Discrete Contin. Dyn. Syst., Ser. S 10, No. 6, 1233-1256 (2017). MSC: 35Q74 74D10 35A01 35B65 PDFBibTeX XMLCite \textit{J. Burczak} et al., Discrete Contin. Dyn. Syst., Ser. S 10, No. 6, 1233--1256 (2017; Zbl 1369.35089) Full Text: DOI arXiv
Arrue, P.; Bustamante, R.; Sfyris, D. A note on incremental equations for a new class of constitutive relations for elastic bodies. (English) Zbl 1467.74008 Wave Motion 65, 44-54 (2016). MSC: 74A20 35Q74 PDFBibTeX XMLCite \textit{P. Arrue} et al., Wave Motion 65, 44--54 (2016; Zbl 1467.74008) Full Text: DOI
Oishi, Cassio M.; Thompson, Roney L.; Martins, Fernando P. Transient motions of elasto-viscoplastic thixotropic materials subjected to an imposed stress field and to stress-based free-surface boundary conditions. (English) Zbl 1423.74157 Int. J. Eng. Sci. 109, 165-201 (2016). MSC: 74C05 74C10 PDFBibTeX XMLCite \textit{C. M. Oishi} et al., Int. J. Eng. Sci. 109, 165--201 (2016; Zbl 1423.74157) Full Text: DOI Link
Pucci, Edvige; Saccomandi, Giuseppe; Vitolo, Raffaele Bogus transformations in mechanics of continua. (English) Zbl 1423.74137 Int. J. Eng. Sci. 99, 13-21 (2016). MSC: 74B20 76D05 PDFBibTeX XMLCite \textit{E. Pucci} et al., Int. J. Eng. Sci. 99, 13--21 (2016; Zbl 1423.74137) Full Text: DOI
Bustamante, R.; Rajagopal, K. R. On the consequences of the constraint of incompressibility with regard to a new class of constitutive relations for elastic bodies: small displacement gradient approximation. (English) Zbl 1348.74018 Contin. Mech. Thermodyn. 28, No. 1-2, 293-303 (2016). MSC: 74A20 PDFBibTeX XMLCite \textit{R. Bustamante} and \textit{K. R. Rajagopal}, Contin. Mech. Thermodyn. 28, No. 1--2, 293--303 (2016; Zbl 1348.74018) Full Text: DOI
Bustamante, R.; Orellana, O.; Meneses, R.; Rajagopal, K. R. Large deformations of a new class of incompressible elastic bodies. (English) Zbl 1431.74021 Z. Angew. Math. Phys. 67, No. 3, Article ID 47, 21 p. (2016). MSC: 74B20 74A20 PDFBibTeX XMLCite \textit{R. Bustamante} et al., Z. Angew. Math. Phys. 67, No. 3, Article ID 47, 21 p. (2016; Zbl 1431.74021) Full Text: DOI
Montero, S.; Bustamante, R.; Ortiz-Bernardin, A. A finite element analysis of some boundary value problems for a new type of constitutive relation for elastic bodies. (English) Zbl 1360.74140 Acta Mech. 227, No. 2, 601-615 (2016). MSC: 74S05 74A20 PDFBibTeX XMLCite \textit{S. Montero} et al., Acta Mech. 227, No. 2, 601--615 (2016; Zbl 1360.74140) Full Text: DOI
Mai, Tina; Walton, Jay R. On strong ellipticity for implicit and strain-limiting theories of elasticity. (English) Zbl 07278982 Math. Mech. Solids 20, No. 2, 121-139 (2015). MSC: 74-XX PDFBibTeX XMLCite \textit{T. Mai} and \textit{J. R. Walton}, Math. Mech. Solids 20, No. 2, 121--139 (2015; Zbl 07278982) Full Text: DOI
Gou, K.; Mallikarjuna, M.; Rajagopal, K. R.; Walton, J. R. Modeling fracture in the context of a strain-limiting theory of elasticity: a single plane-strain crack. (English) Zbl 1423.74824 Int. J. Eng. Sci. 88, 73-82 (2015). MSC: 74R10 74B20 74A20 74C10 PDFBibTeX XMLCite \textit{K. Gou} et al., Int. J. Eng. Sci. 88, 73--82 (2015; Zbl 1423.74824) Full Text: DOI
Bustamante, R.; Rajagopal, K. R. Study of a new class of nonlinear inextensible elastic bodies. (English) Zbl 1383.74007 Z. Angew. Math. Phys. 66, No. 6, 3663-3677 (2015). MSC: 74A20 74B20 74A40 PDFBibTeX XMLCite \textit{R. Bustamante} and \textit{K. R. Rajagopal}, Z. Angew. Math. Phys. 66, No. 6, 3663--3677 (2015; Zbl 1383.74007) 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
Casey, James A remark on the conception of a body in continuum mechanics. (English) Zbl 1327.74018 Math. Mech. Solids 20, No. 3, 292-300 (2015). MSC: 74A99 PDFBibTeX XMLCite \textit{J. Casey}, Math. Mech. Solids 20, No. 3, 292--300 (2015; Zbl 1327.74018) Full Text: DOI
Bulíček, M.; Málek, J.; Süli, E. Analysis and approximation of a strain-limiting nonlinear elastic model. (English) Zbl 1327.74032 Math. Mech. Solids 20, No. 1, 92-118 (2015). MSC: 74B20 74G25 74G30 35Q74 PDFBibTeX XMLCite \textit{M. Bulíček} et al., Math. Mech. Solids 20, No. 1, 92--118 (2015; Zbl 1327.74032) Full Text: DOI Link
Bustamante, R.; Sfyris, D. Direct determination of stresses from the stress equations of motion and wave propagation for a new class of elastic bodies. (English) Zbl 1327.74080 Math. Mech. Solids 20, No. 1, 80-91 (2015); corrigendum ibid. 25, No. 3, 866-868 (2020). MSC: 74J10 74B99 74A10 PDFBibTeX XMLCite \textit{R. Bustamante} and \textit{D. Sfyris}, Math. Mech. Solids 20, No. 1, 80--91 (2015; Zbl 1327.74080) Full Text: DOI
Case, James Preface: Kumbakonam Ramamani Rajagopal. (English) Zbl 1322.01038 Math. Mech. Solids 20, No. 1, 4-8 (2015). MSC: 01A70 PDFBibTeX XMLCite \textit{J. Case}, Math. Mech. Solids 20, No. 1, 4--8 (2015; Zbl 1322.01038) Full Text: DOI
Bustamante, R.; Rajagopal, K. R. Solutions of some boundary value problems for a new class of elastic bodies undergoing small strains. Comparison with the predictions of the classical theory of linearized elasticity: Part I. Problems with cylindrical symmetry. (English) Zbl 1317.74034 Acta Mech. 226, No. 6, 1815-1838 (2015). MSC: 74G15 74B05 35Q74 PDFBibTeX XMLCite \textit{R. Bustamante} and \textit{K. R. Rajagopal}, Acta Mech. 226, No. 6, 1815--1838 (2015; Zbl 1317.74034) Full Text: DOI
Bustamante, R.; Rajagopal, K. R. Solutions of some boundary value problems for a new class of elastic bodies. Comparison with predictions of the classical theory of linearized elasticity: Part II. A problem with spherical symmetry. (English) Zbl 1317.74033 Acta Mech. 226, No. 6, 1807-1813 (2015). MSC: 74G15 74B10 35Q74 PDFBibTeX XMLCite \textit{R. Bustamante} and \textit{K. R. Rajagopal}, Acta Mech. 226, No. 6, 1807--1813 (2015; Zbl 1317.74033) Full Text: DOI
Sfyris, D.; Bustamante, R. On the treatment of non-solvable implicit constitutive relations in solid mechanics. (English) Zbl 1317.74010 Z. Angew. Math. Phys. 66, No. 3, 1165-1174 (2015). MSC: 74A20 74A10 74B20 PDFBibTeX XMLCite \textit{D. Sfyris} and \textit{R. Bustamante}, Z. Angew. Math. Phys. 66, No. 3, 1165--1174 (2015; Zbl 1317.74010) Full Text: DOI
Mai, Tina; Walton, Jay R. On monotonicity for strain-limiting theories of elasticity. (English) Zbl 1315.74007 J. Elasticity 120, No. 1, 39-65 (2015). MSC: 74B20 PDFBibTeX XMLCite \textit{T. Mai} and \textit{J. R. Walton}, J. Elasticity 120, No. 1, 39--65 (2015; Zbl 1315.74007) Full Text: DOI
Bridges, C.; Rajagopal, K. R. Implicit constitutive models with a thermodynamic basis: a study of stress concentration. (English) Zbl 1317.74008 Z. Angew. Math. Phys. 66, No. 1, 191-208 (2015). MSC: 74A20 74R99 74B99 PDFBibTeX XMLCite \textit{C. Bridges} and \textit{K. R. Rajagopal}, Z. Angew. Math. Phys. 66, No. 1, 191--208 (2015; Zbl 1317.74008) Full Text: DOI
Kannan, K.; Rajagopal, K. R.; Saccomandi, G. Unsteady motions of a new class of elastic solids. (English) Zbl 1456.74017 Wave Motion 51, No. 5, 833-843 (2014). MSC: 74B20 74B15 35Q74 PDFBibTeX XMLCite \textit{K. Kannan} et al., Wave Motion 51, No. 5, 833--843 (2014; Zbl 1456.74017) Full Text: DOI
Bulíček, Miroslav; Málek, Josef; Rajagopal, K. R.; Süli, Endre On elastic solids with limiting small strain: modelling and analysis. (English) Zbl 1314.35184 EMS Surv. Math. Sci. 1, No. 2, 283-332 (2014). MSC: 35Q74 35F50 74B99 35D30 PDFBibTeX XMLCite \textit{M. Bulíček} et al., EMS Surv. Math. Sci. 1, No. 2, 283--332 (2014; Zbl 1314.35184) 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
Rajagopal, K. R. Particle-free bodies and point-free spaces. (English) Zbl 1423.54006 Int. J. Eng. Sci. 72, 155-176 (2013); corrigendum ibid. 79, 81 (2014). MSC: 54A05 00A30 PDFBibTeX XMLCite \textit{K. R. Rajagopal}, Int. J. Eng. Sci. 72, 155--176 (2013; Zbl 1423.54006) Full Text: DOI
Wang, Xu; Schiavone, Peter Coated non-elliptical harmonic inclusions with internal uniform hydrostatic stresses. (English) Zbl 1423.74113 Int. J. Eng. Sci. 63, 30-39 (2013). MSC: 74B05 74G70 74E30 PDFBibTeX XMLCite \textit{X. Wang} and \textit{P. Schiavone}, Int. J. Eng. Sci. 63, 30--39 (2013; Zbl 1423.74113) Full Text: DOI
Muliana, A.; Rajagopal, K. R.; Wineman, A. S. A new class of quasi-linear models for describing the nonlinear viscoelastic response of materials. (English) Zbl 1291.74051 Acta Mech. 224, No. 9, 2169-2183 (2013). Reviewer: Vladimir P. Radchenko (Samara) MSC: 74D10 PDFBibTeX XMLCite \textit{A. Muliana} et al., Acta Mech. 224, No. 9, 2169--2183 (2013; Zbl 1291.74051) Full Text: DOI
Rajagopal, K. R.; Srinivasa, A. R. Restrictions placed on constitutive relations by angular momentum balance and Galilean invariance. (English) Zbl 1268.74005 Z. Angew. Math. Phys. 64, No. 2, 391-401 (2013). MSC: 74A20 PDFBibTeX XMLCite \textit{K. R. Rajagopal} and \textit{A. R. Srinivasa}, Z. Angew. Math. Phys. 64, No. 2, 391--401 (2013; Zbl 1268.74005) Full Text: DOI
Rajagopal, K. R. Modeling bodies that can only undergo isochoric motions subject to mechanical stimuli but are compressible or expansible with respect to thermal stimuli. (English) Zbl 1278.76008 Z. Angew. Math. Phys. 64, No. 3, 885-894 (2013); erratum ibid. 64, No. 5, 1609 (2013). MSC: 76A02 74A20 PDFBibTeX XMLCite \textit{K. R. Rajagopal}, Z. Angew. Math. Phys. 64, No. 3, 885--894 (2013; Zbl 1278.76008) Full Text: DOI
Chen, Yi-Chao Elasticity theory with response function for deformation gradient in terms of stress. (English) Zbl 1231.74014 Int. J. Eng. Sci. 48, No. 11, 1083-1091 (2010). MSC: 74A20 74A10 74B20 PDFBibTeX XMLCite \textit{Y.-C. Chen}, Int. J. Eng. Sci. 48, No. 11, 1083--1091 (2010; Zbl 1231.74014) Full Text: DOI