Saint-Venant end effects in two-dimensional Cosserat elastic solids

Conference · Fri Dec 31 04:00:00 EST 1993

OSTI ID:143197

Nakamura, S ^[1]; Lakes, R S ^[2]

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1. Yokohama Rubber Co. Ltd., Kanagawa (Japan). Computational Analysis Lab.
2. Univ. of Iowa, Iowa City, IA (United States)

Cosserat elasticity theory differs from classical Cauchy`s theory in that (1) each material point has extra rotational degrees of freedom, (2) can transmit couple stress as well as usual force stress, and (3) 6 material constants are needed even for the isotropic case. Due to these differences, material behavior of a Cosserat solid is expected to be significantly different from a solid obeying Cauchy`s theory. In this article, Saint-Venant end effects for self-equilibrated external forces in Cosserat solids are investigated for two-dimensional case. A finite element method is used which takes into account the extra rotational degree of freedom and the couple stress. Strain energy decay is calculated by changing the 4 engineering material constants of two-dimensional Cosserat theory: characteristic length 1, coupling factor N, Poisson`s ratio v{sub m}, and Young`s Modulus E{sub m}. It is found that the strain energy decay is most affected by characteristic length and the decay slope attains a minimum at particular values of characteristic length.

• OSTI ID: 143197
• Report Number(s): CONF-930246--; ISBN 0-87339-251-5
• Country of Publication: United States
• Language: English

Related Subjects

36 MATERIALS SCIENCE
COMPOSITE MATERIALS
ELASTICITY
MATHEMATICAL MODELS
POLYMERS
STRESSES