On deformational and configurational mechanics of micromorphic hyperelasticity - theory and computation

C.B. Hirschberger; E. Kuhl; P. Steinmann

doi:10.1016/j.cma.2007.02.015

On deformational and configurational mechanics of micromorphic hyperelasticity - theory and computation

C.B. Hirschberger
, E. Kuhl
, P. Steinmann

Mechanics of Materials

Research output: Contribution to journal › Article › Academic › peer-review

53 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	4027-4044
Journal	Computer Methods in Applied Mechanics and Engineering
Volume	196
Issue number	41-44
DOIs	https://doi.org/10.1016/j.cma.2007.02.015
Publication status	Published - 2007

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10.1016/j.cma.2007.02.015

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title = "On deformational and configurational mechanics of micromorphic hyperelasticity - theory and computation",

abstract = "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.",

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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 -

On deformational and configurational mechanics of micromorphic hyperelasticity - theory and computation

Abstract

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