TY - JOUR
T1 - On Mathematical Aspects of Dual Variables in Continuum Mechanics. Part 2
T2 - Applications in Nonlinear Solid Mechanics
AU - Giessen, E. van der
AU - Kollmann, F.G.
N1 - Relation: http://www.rug.nl/zernike/
Rights: University of Groningen, Zernike Institute for Advanced Materials
PY - 1996
Y1 - 1996
N2 - Continuing the approach of Part 1 of this paper we apply our results to dual variables appearing in continuum mechanics. We investigate the kinematics and dynamics of continuous bodies. As a consequence, this leads to a mixed variant formulation of kinematics and Cauchy's law for the stress tensor. The mixed variant formulation of kinematics is advantageous, for instance, in finite deformation plasticity. Finally, we give some examples of constitutive equations which demonstrate in an exemplaric manner the additional mathematical structure gained through our approach.
AB - Continuing the approach of Part 1 of this paper we apply our results to dual variables appearing in continuum mechanics. We investigate the kinematics and dynamics of continuous bodies. As a consequence, this leads to a mixed variant formulation of kinematics and Cauchy's law for the stress tensor. The mixed variant formulation of kinematics is advantageous, for instance, in finite deformation plasticity. Finally, we give some examples of constitutive equations which demonstrate in an exemplaric manner the additional mathematical structure gained through our approach.
U2 - 10.1002/zamm.19960760903
DO - 10.1002/zamm.19960760903
M3 - Article
SN - 0044-2267
VL - 76
SP - 497
EP - 504
JO - Zeitschrift für Angewandte Mathematik und Mechanik
JF - Zeitschrift für Angewandte Mathematik und Mechanik
IS - 9
ER -