The Baker-Ericksen inequalities for hyperelastic models using a novel set of invariants of Hencky strain

by: Patrick J Wilber, John C Criscione

International Journal of Solids and Structures, Vol. 42, No. 5-6. (March 2005), pp. 1547-1559.

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Abstract

We study a class of models that describes isotropic hyperelastic materials and that is defined using a novel set of invariants for the Hencky strain. For these models, we derive the appropriate form of the Baker-Ericksen inequalities. To illustrate an application, we then use this form of the Baker-Ericksen inequalities to develop a set of specific constitutive restrictions for a model of rubber-like materials proposed in [Criscione, J.C., Humphrey, J.D., Douglas, A.S., Hunter, W.C., 2000. J. Mech. Phys. Solids 48, 2445-2465].

@article{citeulike:1611074, abstract = {We study a class of models that describes isotropic hyperelastic materials and that is defined using a novel set of invariants for the Hencky strain. For these models, we derive the appropriate form of the Baker-Ericksen inequalities. To illustrate an application, we then use this form of the Baker-Ericksen inequalities to develop a set of specific constitutive restrictions for a model of rubber-like materials proposed in [Criscione, J.C., Humphrey, J.D., Douglas, A.S., Hunter, W.C., 2000. J. Mech. Phys. Solids 48, 2445-2465].}, author = {Wilber, Patrick J. and Criscione, John C. }, citeulike-article-id = {1611074}, doi = {10.1016/j.ijsolstr.2004.08.001}, journal = {International Journal of Solids and Structures}, keywords = {elasticity, electrostriction, polymers}, month = {March}, number = {5-6}, pages = {1547--1559}, posted-at = {2007-08-31 19:35:55}, priority = {2}, title = {The Baker-Ericksen inequalities for hyperelastic models using a novel set of invariants of Hencky strain}, url = {http://dx.doi.org/10.1016/j.ijsolstr.2004.08.001}, volume = {42}, year = {2005} }

RIS record

TY - JOUR ID - citeulike:1611074 L3 - citeulike-article-id:1611074 TI - The Baker-Ericksen inequalities for hyperelastic models using a novel set of invariants of Hencky strain JF - International Journal of Solids and Structures VL - 42 IS - 5-6 SP - 1547 EP - 1559 N2 - We study a class of models that describes isotropic hyperelastic materials and that is defined using a novel set of invariants for the Hencky strain. For these models, we derive the appropriate form of the Baker-Ericksen inequalities. To illustrate an application, we then use this form of the Baker-Ericksen inequalities to develop a set of specific constitutive restrictions for a model of rubber-like materials proposed in [Criscione, J.C., Humphrey, J.D., Douglas, A.S., Hunter, W.C., 2000. J. Mech. Phys. Solids 48, 2445-2465]. KW - elasticity KW - electrostriction KW - polymers AU - Wilber, Patrick AU - Criscione, John PY - 2005/03// UR - http://dx.doi.org/10.1016/j.ijsolstr.2004.08.001 ER -

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