Browsing by Author "Rajagopal, K. R."
Now showing items 1-8 of 8
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Bustamante Plaza, Roger; Rajagopal, K. R. (Oxford University Press, 2014)The class of elastic bodies, that is bodies incapable of dissipation in whatever motion that they undergo, has been significantly enlarged recently (see Rajagopal 2003, On implicit constitutive theories. Appl. Math., 48, ...
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Ortiz Bernardín, Alejandro; Bustamante Plaza, Roger; Rajagopal, K. R. (Elsevier, 2014)Recently, a very general and novel class of implicit bodies has been developed to describe the elastic response of solids. It contains as a special subclass the classical Cauchy and Green elastic bodies. Within the class ...
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Bustamante, R.; Rajagopal, K. R. (2013)In part I of this two-part paper, a new theoretical framework was presented to describe the response of electro-elastic bodies. The constitutive theory that was developed consists of two implicit constitutive relations: ...
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Bustamante Plaza, Roger; Rajagopal, K. R. (Springer, 2016)Recently, there has been an interest in the development of implicit constitutive relations between the stress and the deformation gradient, to describe the response of elastic bodies as such constitutive relations are ...
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Bustamante Plaza, Roger; Rajagopal, K. R. (Springer, 2015)There is considerable evidence that shows that for a large class of materials the relationship between the stress and the strain is nonlinear even in the range of strain that is considered small enough for the classical ...
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Bustamante Plaza, Roger; Rajagopal, K. R. (Springer, 2015)In Part II of the paper, we study the response of a spherical annular region of the same strain limiting elastic body considered in Part I, wherein the linearized strain is a nonlinear function of the stress. We study the ...
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Bustamante, R.; Rajagopal, K. R. (PERGAMON-ELSEVIER, 2011-03)Some simple boundary value problems are studied, for a new class of elastic materials, wherein deformations are expressed as non-linear functions of the stresses. Problems involving 'homogeneous' stress distributions and ...
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Bustamante Plaza, Roger; Rajagopal, K. R. (Springer, 2015)In this paper, we study the consequences of the constraint of inextensibility with regard to a class of constitutive relations, where the strain is given as a function of the stress. Such constitutive equations belong to ...