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
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
Shariff, M. H. B. M.; Merodio, J.; Bustamante, R. Nonlinear elastic constitutive relations of residually stressed composites with stiff curved fibres. (English) Zbl 1525.74023 AMM, Appl. Math. Mech., Engl. Ed. 43, No. 10, 1515-1530 (2022). Reviewer: Alexandre Danescu (Lyon) MSC: 74B20 74E30 74A20 PDFBibTeX XMLCite \textit{M. H. B. M. Shariff} et al., AMM, Appl. Math. Mech., Engl. Ed. 43, No. 10, 1515--1530 (2022; Zbl 1525.74023) 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
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
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
Bustamante, R.; Shariff, M. H. B. M.; Hossain, M. Mathematical formulations for elastic magneto-electrically coupled soft materials at finite strains: time-independent processes. (English) Zbl 07314427 Int. J. Eng. Sci. 159, Article ID 103429, 27 p. (2021). MSC: 74-XX 82-XX PDFBibTeX XMLCite \textit{R. Bustamante} et al., Int. J. Eng. Sci. 159, Article ID 103429, 27 p. (2021; Zbl 07314427) Full Text: DOI Link
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
Shariff, M. H. B. M.; Bustamante, Roger; Merodio, Jose A nonlinear electro-elastic model with residual stresses and a preferred direction. (English) Zbl 1446.74124 Math. Mech. Solids 25, No. 3, 838-865 (2020). MSC: 74F15 74B20 PDFBibTeX XMLCite \textit{M. H. B. M. Shariff} et al., Math. Mech. Solids 25, No. 3, 838--865 (2020; Zbl 1446.74124) 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
Shariff, M. H. B. M.; Bustamante, R.; Merodio, J. A nonlinear spectral rate-dependent constitutive equation for electro-viscoelastic solids. (English) Zbl 1446.74123 Z. Angew. Math. Phys. 71, No. 4, Paper No. 126, 22 p. (2020). MSC: 74F15 74D10 PDFBibTeX XMLCite \textit{M. H. B. M. Shariff} et al., Z. Angew. Math. Phys. 71, No. 4, Paper No. 126, 22 p. (2020; Zbl 1446.74123) 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
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
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
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
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
Bustamante, R.; Shariff, M. H. B. M. A principal axis formulation for nonlinear magnetoelastic deformations: isotropic bodies. (English) Zbl 1406.74098 Eur. J. Mech., A, Solids 50, 17-27 (2015). MSC: 74B20 74A05 74F15 PDFBibTeX XMLCite \textit{R. Bustamante} and \textit{M. H. B. M. Shariff}, Eur. J. Mech., A, Solids 50, 17--27 (2015; Zbl 1406.74098) 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
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
Bustamante, Roger; Ogden, Ray W. Nonlinear magnetoelastostatics: energy functionals and their second variations. (English) Zbl 07280073 Math. Mech. Solids 18, No. 7, 760-772 (2013). MSC: 74-XX PDFBibTeX XMLCite \textit{R. Bustamante} and \textit{R. W. Ogden}, Math. Mech. Solids 18, No. 7, 760--772 (2013; Zbl 07280073) 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
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
Bustamante, R.; Dorfmann, A.; Ogden, R. W. Numerical solution of finite geometry boundary-value problems in nonlinear magnetoelasticity. (English) Zbl 1236.74078 Int. J. Solids Struct. 48, No. 6, 874-883 (2011). MSC: 74F15 74B20 74S05 PDFBibTeX XMLCite \textit{R. Bustamante} et al., Int. J. Solids Struct. 48, No. 6, 874--883 (2011; Zbl 1236.74078) Full Text: DOI Link
Bustamante, R.; Holzapfel, G. A. Methods to compute 3D residual stress distributions in hyperelastic tubes with application to arterial walls. (English) Zbl 1231.74309 Int. J. Eng. Sci. 48, No. 11, 1066-1082 (2010). MSC: 74L15 92C05 PDFBibTeX XMLCite \textit{R. Bustamante} and \textit{G. A. Holzapfel}, Int. J. Eng. Sci. 48, No. 11, 1066--1082 (2010; Zbl 1231.74309) Full Text: DOI
Bustamante, R.; Merodio, J. On simple constitutive restrictions for transversely isotropic nonlinearly elastic materials and isotropic magneto-sensitive elastomers. (English) Zbl 1310.74007 J. Eng. Math. 68, No. 1, 15-26 (2010). MSC: 74B20 74A20 74E10 PDFBibTeX XMLCite \textit{R. Bustamante} and \textit{J. Merodio}, J. Eng. Math. 68, No. 1, 15--26 (2010; Zbl 1310.74007) Full Text: DOI Link
Bustamante, Roger Transversely isotropic nonlinear magneto-active elastomers. (English) Zbl 1397.74063 Acta Mech. 210, No. 3-4, 183-214 (2010). MSC: 74F15 74B20 74A20 74E10 PDFBibTeX XMLCite \textit{R. Bustamante}, Acta Mech. 210, No. 3--4, 183--214 (2010; Zbl 1397.74063) Full Text: DOI
Bustamante, R.; Dorfmann, A.; Ogden, R. W. On electric body forces and Maxwell stresses in nonlinearly electroelastic solids. (English) Zbl 1213.74123 Int. J. Eng. Sci. 47, No. 11-12, 1131-1141 (2009). MSC: 74F15 74A10 78A30 PDFBibTeX XMLCite \textit{R. Bustamante} et al., Int. J. Eng. Sci. 47, No. 11--12, 1131--1141 (2009; Zbl 1213.74123) Full Text: DOI
Bustamante, R. A variational formulation for a boundary value problem considering an electro-sensitive elastomer interacting with two bodies. (English) Zbl 1273.74094 Mech. Res. Commun. 36, No. 7, 791-795 (2009). MSC: 74F15 PDFBibTeX XMLCite \textit{R. Bustamante}, Mech. Res. Commun. 36, No. 7, 791--795 (2009; Zbl 1273.74094) Full Text: DOI Link
Bustamante, R. Mathematical modelling of boundary conditions for magneto-sensitive elastomers: Variational formulations. (English) Zbl 1168.74346 J. Eng. Math. 64, No. 3, 285-301 (2009). MSC: 74F15 74M05 74G65 PDFBibTeX XMLCite \textit{R. Bustamante}, J. Eng. Math. 64, No. 3, 285--301 (2009; Zbl 1168.74346) Full Text: DOI
Bustamante, R.; Dorfmann, A.; Ogden, R. W. On variational formulations in nonlinear magnetoelastostatics. (English) Zbl 1175.74033 Math. Mech. Solids 13, No. 8, 725-745 (2008). MSC: 74F15 74B20 74G65 PDFBibTeX XMLCite \textit{R. Bustamante} et al., Math. Mech. Solids 13, No. 8, 725--745 (2008; Zbl 1175.74033) Full Text: DOI