Itou, Hiromichi; Kovtunenko, Victor A.; Rajagopal, Kumbakonam R. Well-posedness of the governing equations for a quasi-linear viscoelastic model with pressure-dependent moduli in which both stress and strain appear linearly. (English) Zbl 1528.35190 Z. Angew. Math. Phys. 75, No. 1, Paper No. 22, 14 p. (2024). MSC: 35Q74 49J52 74D10 PDFBibTeX XMLCite \textit{H. Itou} et al., Z. Angew. Math. Phys. 75, No. 1, Paper No. 22, 14 p. (2024; Zbl 1528.35190) Full Text: DOI OA License
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
Itou, Hiromichi; Kovtunenko, Victor A.; Rajagopal, Kumbakonam R. A generalization of the Kelvin-Voigt model with pressure-dependent moduli in which both stress and strain appear linearly. (English) Zbl 07793789 Math. Methods Appl. Sci. 46, No. 14, 15641-15654 (2023). MSC: 35Q74 49J52 74D10 PDFBibTeX XMLCite \textit{H. Itou} et al., Math. Methods Appl. Sci. 46, No. 14, 15641--15654 (2023; Zbl 07793789) Full Text: DOI OA License
Vajipeyajula, Bhaskar; Murru, Pavitra; Rajagopal, K. R. Stress concentration due to the presence of a rigid elliptical inclusion in porous elastic solids described by a new class of constitutive relations. (English) Zbl 07762832 J. Elasticity 154, No. 1-4, 255-273 (2023). MSC: 74F10 74E05 74B15 74G70 74A20 PDFBibTeX XMLCite \textit{B. Vajipeyajula} et al., J. Elasticity 154, No. 1--4, 255--273 (2023; Zbl 07762832) Full Text: DOI
Rajagopal, K. R.; Rodriguez, C. Special Cosserat rods with rate-dependent evolving natural configurations. (English) Zbl 07729799 Int. J. Eng. Sci. 191, Article ID 103890, 19 p. (2023). MSC: 74-XX 82-XX PDFBibTeX XMLCite \textit{K. R. Rajagopal} and \textit{C. Rodriguez}, Int. J. Eng. Sci. 191, Article ID 103890, 19 p. (2023; Zbl 07729799) Full Text: DOI arXiv
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
Sreejith, P.; Kannan, K.; Rajagopal, K. R. A thermodynamic framework for the additive manufacturing of crystallizing polymers. I: A theory that accounts for phase change, shrinkage, warpage and residual stress. (English) Zbl 07646850 Int. J. Eng. Sci. 183, Article ID 103789, 28 p. (2023). MSC: 82-XX 80-XX PDFBibTeX XMLCite \textit{P. Sreejith} et al., Int. J. Eng. Sci. 183, Article ID 103789, 28 p. (2023; Zbl 07646850) 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
Průša, Vít; Rajagopal, Kumbakonam Ramamani; Wineman, Alan Pure bending of an elastic prismatic beam made of a material with density-dependent material parameters. (English) Zbl 07601723 Math. Mech. Solids 27, No. 8, 1546-1558 (2022). MSC: 74-XX PDFBibTeX XMLCite \textit{V. Průša} et al., Math. Mech. Solids 27, No. 8, 1546--1558 (2022; Zbl 07601723) 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
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
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
Anguiano, Marcelino; Masud, Arif; Rajagopal, Kumbakonam R. Mixture model for thermo-chemo-mechanical processes in fluid-infused solids. (English) Zbl 07517075 Int. J. Eng. Sci. 174, Article ID 103576, 37 p. (2022). MSC: 74-XX 80-XX PDFBibTeX XMLCite \textit{M. Anguiano} et al., Int. J. Eng. Sci. 174, Article ID 103576, 37 p. (2022; Zbl 07517075) 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
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
Gomez-Constante, J. P.; Pagilla, P. R.; Rajagopal, K. R. A thermomechanical and photochemical description of the phase change process in roll-to-roll nanoimprinting lithography. (English) Zbl 07444783 Int. J. Eng. Sci. 169, Article ID 103564, 22 p. (2021). MSC: 74-XX 76-XX PDFBibTeX XMLCite \textit{J. P. Gomez-Constante} et al., Int. J. Eng. Sci. 169, Article ID 103564, 22 p. (2021; Zbl 07444783) 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
Itou, Hiromichi; Kovtunenko, Victor A.; Rajagopal, Kumbakonam R. Lagrange multiplier approach to unilateral indentation problems: well-posedness and application to linearized viscoelasticity with non-invertible constitutive response. (English) Zbl 1473.35551 Math. Models Methods Appl. Sci. 31, No. 3, 649-674 (2021). MSC: 35Q74 49J40 74D99 74M15 PDFBibTeX XMLCite \textit{H. Itou} et al., Math. Models Methods Appl. Sci. 31, No. 3, 649--674 (2021; Zbl 1473.35551) 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
Itou, Hiromichi; Kovtunenko, Victor A.; Rajagopal, Kumbakonam R. On an implicit model linear in both stress and strain to describe the response of porous solids. (English) Zbl 1465.74048 J. Elasticity 144, No. 1, 107-118 (2021). MSC: 74F10 74B20 35Q74 PDFBibTeX XMLCite \textit{H. Itou} et al., J. Elasticity 144, No. 1, 107--118 (2021; Zbl 1465.74048) Full Text: DOI
Sreejith, P.; Kannan, K.; Rajagopal, K. R. A thermodynamic framework for additive manufacturing, using amorphous polymers, capable of predicting residual stress, warpage and shrinkage. (English) Zbl 07314425 Int. J. Eng. Sci. 159, Article ID 103412, 24 p. (2021). MSC: 74-XX 76-XX PDFBibTeX XMLCite \textit{P. Sreejith} et al., Int. J. Eng. Sci. 159, Article ID 103412, 24 p. (2021; Zbl 07314425) Full Text: DOI arXiv
Anguiano, Marcelino; Gajendran, Harishanker; Hall, Richard B.; Rajagopal, Kumbakonam R.; Masud, Arif Chemo-mechanical coupling and material evolution in finitely deforming solids with advancing fronts of reactive fluids. (English) Zbl 1440.74118 Acta Mech. 231, No. 5, 1933-1961 (2020). MSC: 74F10 74F25 PDFBibTeX XMLCite \textit{M. Anguiano} et al., Acta Mech. 231, No. 5, 1933--1961 (2020; Zbl 1440.74118) 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
Itou, Hiromichi; Kovtunenko, Victor A.; Rajagopal, Kumbakonam R. The Boussinesq flat-punch indentation problem within the context of linearized viscoelasticity. (English) Zbl 1465.74129 Int. J. Eng. Sci. 151, Article ID 103272, 11 p. (2020). MSC: 74M15 74D05 74H05 PDFBibTeX XMLCite \textit{H. Itou} et al., Int. J. Eng. Sci. 151, Article ID 103272, 11 p. (2020; Zbl 1465.74129) Full Text: DOI
Song, Ruyue; Muliana, Anastasia; Rajagopal, Kumbakonam A thermodynamically consistent model for viscoelastic polymers undergoing microstructural changes. (English) Zbl 1425.74025 Int. J. Eng. Sci. 142, 106-124 (2019). MSC: 74A20 74D10 74A15 82D60 PDFBibTeX XMLCite \textit{R. Song} et al., Int. J. Eng. Sci. 142, 106--124 (2019; Zbl 1425.74025) Full Text: DOI
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. Well-posedness of the problem of non-penetrating cracks in elastic bodies whose material moduli depend on the mean normal stress. (English) Zbl 1425.74081 Int. J. Eng. Sci. 136, 17-25 (2019). MSC: 74B20 35B30 35Q74 49J52 74R10 PDFBibTeX XMLCite \textit{H. Itou} et al., Int. J. Eng. Sci. 136, 17--25 (2019; Zbl 1425.74081) 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
Itou, Hiromichi; Kovtunenko, Victor A.; Rajagopal, Kumbakonam R. On the states of stress and strain adjacent to a crack in a strain-limiting viscoelastic body. (English) Zbl 1404.74028 Math. Mech. Solids 23, No. 3, 433-444 (2018). MSC: 74D10 74R20 74H20 PDFBibTeX XMLCite \textit{H. Itou} et al., Math. Mech. Solids 23, No. 3, 433--444 (2018; Zbl 1404.74028) Full Text: DOI
Alagappan, P.; Rajagopal, K. R.; Kannan, K. A damage initiation criterion for a class of viscoelastic solids. (English) Zbl 1402.74009 Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 474, No. 2214, Article ID 20180064, 18 p. (2018). MSC: 74A45 74D05 PDFBibTeX XMLCite \textit{P. Alagappan} et al., Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 474, No. 2214, Article ID 20180064, 18 p. (2018; Zbl 1402.74009) Full Text: DOI
Gajendran, Harishanker; Hall, Richard B.; Masud, Arif; Rajagopal, Kumbakonam R. Chemo-mechanical coupling in curing and material-interphase evolution in multi-constituent materials. (English) Zbl 1396.74053 Acta Mech. 229, No. 8, 3393-3414 (2018). MSC: 74F25 74E30 PDFBibTeX XMLCite \textit{H. Gajendran} et al., Acta Mech. 229, No. 8, 3393--3414 (2018; Zbl 1396.74053) 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
Itou, Hiromichi; Kovtunenko, Victor A.; Rajagopal, Kumbakonam R. Contacting crack faces within the context of bodies exhibiting limiting strains. (English) Zbl 1409.74004 JSIAM Lett. 9, 61-64 (2017). MSC: 74A45 74B20 PDFBibTeX XMLCite \textit{H. Itou} et al., JSIAM Lett. 9, 61--64 (2017; Zbl 1409.74004) Full Text: DOI
Mahalingam, M.; Ravindran, Parag; Saravanan, U.; Rajagopal, K. R. Two boundary value problems involving an inhomogeneous viscoelastic solid. (English) Zbl 1366.74063 Discrete Contin. Dyn. Syst., Ser. S 10, No. 6, 1351-1373 (2017). MSC: 74Q05 74Q15 74D10 74S30 PDFBibTeX XMLCite \textit{M. Mahalingam} et al., Discrete Contin. Dyn. Syst., Ser. S 10, No. 6, 1351--1373 (2017; Zbl 1366.74063) 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
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
Pucci, Edvige; Rajagopal, K. R.; Saccomandi, Giuseppe On the determination of semi-inverse solutions of nonlinear Cauchy elasticity: the not so simple case of anti-plane shear. (English) Zbl 1423.74136 Int. J. Eng. Sci. 88, 3-14 (2015). MSC: 74B20 74G75 PDFBibTeX XMLCite \textit{E. Pucci} et al., Int. J. Eng. Sci. 88, 3--14 (2015; Zbl 1423.74136) 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
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
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
Souček, Ondřej; Průša, Vít; Málek, Josef; Rajagopal, K. R. On the natural structure of thermodynamic potentials and fluxes in the theory of chemically non-reacting binary mixtures. (English) Zbl 1302.74003 Acta Mech. 225, No. 11, 3157-3186 (2014). MSC: 74A15 74F25 74E20 PDFBibTeX XMLCite \textit{O. Souček} et al., Acta Mech. 225, No. 11, 3157--3186 (2014; Zbl 1302.74003) Full Text: DOI
Rajagopal, K. R.; Wineman, Alan S. Universal relations for a new class of elastic bodies. (English) Zbl 1345.74021 Math. Mech. Solids 19, No. 4, 440-448 (2014). MSC: 74B99 74A20 PDFBibTeX XMLCite \textit{K. R. Rajagopal} and \textit{A. S. Wineman}, Math. Mech. Solids 19, No. 4, 440--448 (2014; Zbl 1345.74021) 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
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
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
Heida, Martin; Málek, Josef; Rajagopal, K. R. On the development and generalizations of Cahn-Hilliard equations within a thermodynamic framework. (English) Zbl 1295.76002 Z. Angew. Math. Phys. 63, No. 1, 145-169 (2012). MSC: 76A02 35Q35 74A15 74F10 76N99 PDFBibTeX XMLCite \textit{M. Heida} et al., Z. Angew. Math. Phys. 63, No. 1, 145--169 (2012; Zbl 1295.76002) 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
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
Quintanilla, Ramón; Rajagopal, Kumbakonam R. Mathematical results concerning a class of incompressible viscoelastic solids of differential type. (English) Zbl 1269.74038 Math. Mech. Solids 16, No. 2, 217-227 (2011). MSC: 74D05 74H25 74H40 35Q74 PDFBibTeX XMLCite \textit{R. Quintanilla} and \textit{K. R. Rajagopal}, Math. Mech. Solids 16, No. 2, 217--227 (2011; Zbl 1269.74038) Full Text: DOI
Rajagopal, K. R.; Saccomandi, Giuseppe Response of an elastic body whose heat conduction is pressure-dependent. (English) Zbl 1287.74010 J. Elasticity 105, No. 1-2, 173-185 (2011). MSC: 74F05 74B20 80A20 PDFBibTeX XMLCite \textit{K. R. Rajagopal} and \textit{G. Saccomandi}, J. Elasticity 105, No. 1--2, 173--185 (2011; Zbl 1287.74010) Full Text: DOI
Průša, Vít; Rajagopal, K. R. Jump conditions in stress relaxation and creep experiments of Burgers type fluids: a study in the application of Colombeau algebra of generalized functions. (English) Zbl 1292.76007 Z. Angew. Math. Phys. 62, No. 4, 707-740 (2011). MSC: 76A10 76D99 PDFBibTeX XMLCite \textit{V. Průša} and \textit{K. R. Rajagopal}, Z. Angew. Math. Phys. 62, No. 4, 707--740 (2011; Zbl 1292.76007) Full Text: DOI
Kannan, K.; Rajagopal, K. R. A thermodynamical framework for chemically reacting systems. (English) Zbl 1273.74098 Z. Angew. Math. Phys. 62, No. 2, 331-363 (2011). MSC: 74F25 74A15 PDFBibTeX XMLCite \textit{K. Kannan} and \textit{K. R. Rajagopal}, Z. Angew. Math. Phys. 62, No. 2, 331--363 (2011; Zbl 1273.74098) Full Text: DOI
Muliana, A. H.; Rajagopal, K. R. Changes in the response of viscoelastic solids to changes in their internal structure. (English) Zbl 1371.74070 Acta Mech. 217, No. 3-4, 297-316 (2011). MSC: 74D10 PDFBibTeX XMLCite \textit{A. H. Muliana} and \textit{K. R. Rajagopal}, Acta Mech. 217, No. 3--4, 297--316 (2011; Zbl 1371.74070) Full Text: DOI
Rajagopal, K. R.; Saccomandi, G.; Vergori, L. Couette flow with frictional heating in a fluid with temperature and pressure dependent viscosity. (English) Zbl 1214.80003 Int. J. Heat Mass Transfer 54, No. 4, 783-789 (2011). Reviewer: Vladimir Sládek (Bratislava) MSC: 80A20 76D05 PDFBibTeX XMLCite \textit{K. R. Rajagopal} et al., Int. J. Heat Mass Transfer 54, No. 4, 783--789 (2011; Zbl 1214.80003) Full Text: DOI
Rajagopal, K. R.; Wineman, Alan S. Applications of viscoelastic clock models in biomechanics. (English) Zbl 1397.74146 Acta Mech. 213, No. 3-4, 255-266 (2010). MSC: 74L15 74D99 74A15 74A20 92C10 PDFBibTeX XMLCite \textit{K. R. Rajagopal} and \textit{A. S. Wineman}, Acta Mech. 213, No. 3--4, 255--266 (2010; Zbl 1397.74146) Full Text: DOI
Rajagopal, K. R.; Srinivasa, A. R. On the development of fluid models of the differential type within a new thermodynamic framework. (English) Zbl 1258.76024 Mech. Res. Commun. 35, No. 7, 483-489 (2008). MSC: 76A05 80A17 PDFBibTeX XMLCite \textit{K. R. Rajagopal} and \textit{A. R. Srinivasa}, Mech. Res. Commun. 35, No. 7, 483--489 (2008; Zbl 1258.76024) Full Text: DOI
Málek, J.; Rajagopal, K. R. A thermodynamic framework for a mixture of two liquids. (English) Zbl 1154.76311 Nonlinear Anal., Real World Appl. 9, No. 4, 1649-1660 (2008). MSC: 76A02 76T99 80A20 PDFBibTeX XMLCite \textit{J. Málek} and \textit{K. R. Rajagopal}, Nonlinear Anal., Real World Appl. 9, No. 4, 1649--1660 (2008; Zbl 1154.76311) Full Text: DOI
Merodio, J.; Rajagopal, K. R. On constitutive equations for anisotropic nonlinearly viscoelastic solids. (English) Zbl 1137.74013 Math. Mech. Solids 12, No. 2, 131-147 (2007). MSC: 74D10 74E10 74A20 PDFBibTeX XMLCite \textit{J. Merodio} and \textit{K. R. Rajagopal}, Math. Mech. Solids 12, No. 2, 131--147 (2007; Zbl 1137.74013) Full Text: DOI
Málek, J.; Rajagopal, K. R. Incompressible rate-type fluids with pressure and shear-rate dependent material moduli. (English) Zbl 1112.76005 Nonlinear Anal., Real World Appl. 8, No. 1, 156-164 (2007). MSC: 76A05 PDFBibTeX XMLCite \textit{J. Málek} and \textit{K. R. Rajagopal}, Nonlinear Anal., Real World Appl. 8, No. 1, 156--164 (2007; Zbl 1112.76005) Full Text: DOI
Chen, Yi-Chao; Rajagopal, K. R.; Wheeler, Lewis Homogenization and global responses of inhomogeneous spherical nonlinear elastic shells. (English) Zbl 1094.74046 J. Elasticity 82, No. 3, 193-214 (2006). MSC: 74Q15 74K25 74E30 74B20 PDFBibTeX XMLCite \textit{Y.-C. Chen} et al., J. Elasticity 82, No. 3, 193--214 (2006; Zbl 1094.74046) Full Text: DOI
Saravanan, U.; Rajagopal, K. R. Inflation, extension, torsion and shearing of an inhomogeneous compressible elastic right circular annular cylinder. (English) Zbl 1134.74014 Math. Mech. Solids 10, No. 6, 603-650 (2005). MSC: 74E05 74Q05 74B20 PDFBibTeX XMLCite \textit{U. Saravanan} and \textit{K. R. Rajagopal}, Math. Mech. Solids 10, No. 6, 603--650 (2005; Zbl 1134.74014) Full Text: DOI
Rajagopal, K. R. On implicit constitutive theories. (English) Zbl 1099.74009 Appl. Math., Praha 48, No. 4, 279-319 (2003). MSC: 74A20 76A02 76A05 76A10 PDFBibTeX XMLCite \textit{K. R. Rajagopal}, Appl. Math., Praha 48, No. 4, 279--319 (2003; Zbl 1099.74009) Full Text: DOI EuDML
Rajagopal, K. R.; Roubíček, Tomáš On the effect of dissipation in shape-memory alloys. (English) Zbl 1023.74036 Nonlinear Anal., Real World Appl. 4, No. 4, 581-597 (2003). MSC: 74N05 74N20 74H30 35Q72 74C99 PDFBibTeX XMLCite \textit{K. R. Rajagopal} and \textit{T. Roubíček}, Nonlinear Anal., Real World Appl. 4, No. 4, 581--597 (2003; Zbl 1023.74036) Full Text: DOI
Hron, J.; Humphrey, J. D.; Rajagopal, K. R. Material identification of nonlinear solids infused with a fluid. (English) Zbl 1045.74023 Math. Mech. Solids 7, No. 6, 629-646 (2002). MSC: 74G65 74F10 PDFBibTeX XMLCite \textit{J. Hron} et al., Math. Mech. Solids 7, No. 6, 629--646 (2002; Zbl 1045.74023) Full Text: DOI