Chen, Weiting; Zhao, Ya-Pu Hyperelastic constitutive relations for soft elastomers with thermally-induced residual stress. (English) Zbl 07791663 Int. J. Eng. Sci. 195, Article ID 103991, 22 p. (2024). MSC: 74-XX 83-XX PDFBibTeX XMLCite \textit{W. Chen} and \textit{Y.-P. Zhao}, Int. J. Eng. Sci. 195, Article ID 103991, 22 p. (2024; Zbl 07791663) 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
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
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
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
Mukherjee, Soumya; Giribabu, D. Stability of plane Couette flow past an initially stressed solid. (English) Zbl 07444788 Int. J. Eng. Sci. 169, Article ID 103572, 15 p. (2021). MSC: 74-XX 76-XX PDFBibTeX XMLCite \textit{S. Mukherjee} and \textit{D. Giribabu}, Int. J. Eng. Sci. 169, Article ID 103572, 15 p. (2021; Zbl 07444788) 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, 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
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
Amiri-Hezaveh, A.; Karimi, P.; Ostoja-Starzewski, M. Stress field formulation of linear electro-magneto-elastic materials. (English) Zbl 07273394 Math. Mech. Solids 24, No. 12, 3806-3822 (2019). MSC: 74-XX PDFBibTeX XMLCite \textit{A. Amiri-Hezaveh} et al., Math. Mech. Solids 24, No. 12, 3806--3822 (2019; Zbl 07273394) 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
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
Shankar, L. S.; Rajthilak, S.; Saravanan, U. Numerical technique for solving truss and plane problems for a new class of elastic bodies. (English) Zbl 1380.74018 Acta Mech. 227, No. 11, 3147-3176 (2016). MSC: 74B20 74G15 74G70 74S30 PDFBibTeX XMLCite \textit{L. S. Shankar} et al., Acta Mech. 227, No. 11, 3147--3176 (2016; Zbl 1380.74018) 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
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
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
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
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
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
Kundurthi, S.; Mythravaruni, P.; Ravindran, P. Vulcanization and the mechanical response of rubber. (English) Zbl 1317.74032 Z. Angew. Math. Phys. 66, No. 3, 1109-1123 (2015). MSC: 74F25 PDFBibTeX XMLCite \textit{S. Kundurthi} et al., Z. Angew. Math. Phys. 66, No. 3, 1109--1123 (2015; Zbl 1317.74032) 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
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
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
Bustamante, R.; Rajagopal, K. R. On the inhomogeneous shearing of a new class of elastic bodies. (English) Zbl 07278888 Math. Mech. Solids 17, No. 7, 762-778 (2012). MSC: 74-XX PDFBibTeX XMLCite \textit{R. Bustamante} and \textit{K. R. Rajagopal}, Math. Mech. Solids 17, No. 7, 762--778 (2012; Zbl 07278888) Full Text: DOI
Rajagopal, K. R.; Saravanan, U. Extension, inflation and circumferential shearing of an annular cylinder for a class of compressible elastic bodies. (English) Zbl 07278874 Math. Mech. Solids 17, No. 5, 473-499 (2012). MSC: 74-XX PDFBibTeX XMLCite \textit{K. R. Rajagopal} and \textit{U. Saravanan}, Math. Mech. Solids 17, No. 5, 473--499 (2012; Zbl 07278874) Full Text: DOI
Ortiz, A.; Bustamante, R.; Rajagopal, K. R. A numerical study of a plate with a hole for a new class of elastic bodies. (English) Zbl 1356.74122 Acta Mech. 223, No. 9, 1971-1981 (2012). MSC: 74K20 74S05 74B20 PDFBibTeX XMLCite \textit{A. Ortiz} et al., Acta Mech. 223, No. 9, 1971--1981 (2012; Zbl 1356.74122) Full Text: DOI Link
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
Rajagopal, K. R. Conspectus of concepts of elasticity. (English) Zbl 1269.74014 Math. Mech. Solids 16, No. 5, 536-562 (2011). MSC: 74Bxx 74-02 PDFBibTeX XMLCite \textit{K. R. Rajagopal}, Math. Mech. Solids 16, No. 5, 536--562 (2011; Zbl 1269.74014) Full Text: DOI