TY - JOUR
T1 - On deformational and configurational mechanics of micromorphic hyperelasticity - theory and computation
AU - Hirschberger, C.B.
AU - Kuhl, E.
AU - Steinmann, P.
PY - 2007
Y1 - 2007
N2 - A micromorphic continuum formulation is presented in the context of both, the spatial- and the material-motion problem. For bothapproaches the kinematics as well as the balance relations together with the various representations of the occurring stress fields arederived. The relations between the spatial-motion problem and the material-motion problem quantities are examined in detail. Upona hyperelastic constitutive assumption a finite-element approximation is derived and the material–force method, which is especially suitedfor defect-mechanics problems, is successfully applied to the present micromorphic continuum theory.
AB - A micromorphic continuum formulation is presented in the context of both, the spatial- and the material-motion problem. For bothapproaches the kinematics as well as the balance relations together with the various representations of the occurring stress fields arederived. The relations between the spatial-motion problem and the material-motion problem quantities are examined in detail. Upona hyperelastic constitutive assumption a finite-element approximation is derived and the material–force method, which is especially suitedfor defect-mechanics problems, is successfully applied to the present micromorphic continuum theory.
U2 - 10.1016/j.cma.2007.02.015
DO - 10.1016/j.cma.2007.02.015
M3 - Article
SN - 0045-7825
VL - 196
SP - 4027
EP - 4044
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
IS - 41-44
ER -