Britta Hirschberger, C., Kuhl, E. and Steinmann, P. (2007) On deformational and configurational mechanics of micromorphic hyperelasticity - Theory and computation. Computer Methods in Applied Mechanics and Engineering, 196(41-44), pp. 4027-4044. (doi: 10.1016/j.cma.2007.02.015)
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Abstract
A micromorphic continuum formulation is presented in the context of both, the spatial- and the material-motion problem. For both approaches the kinematics as well as the balance relations together with the various representations of the occurring stress fields are derived. The relations between the spatial-motion problem and the material-motion problem quantities are examined in detail. Upon a hyperelastic constitutive assumption a finite-element approximation is derived and the material-force method, which is especially suited for defect-mechanics problems, is successfully applied to the present micromorphic continuum theory.
Item Type: | Articles |
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Status: | Published |
Refereed: | Yes |
Glasgow Author(s) Enlighten ID: | Steinmann, Professor Paul |
Authors: | Britta Hirschberger, C., Kuhl, E., and Steinmann, P. |
College/School: | College of Science and Engineering > School of Engineering > Infrastructure and Environment |
Journal Name: | Computer Methods in Applied Mechanics and Engineering |
Publisher: | Elsevier |
ISSN: | 0045-7825 |
ISSN (Online): | 1879-2138 |
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