TY - JOUR
T1 - Planar Cosserat elasticity of materials with holes and intrusions
AU - Jasiuk, I.
AU - Ostoja-Starzewski, M.
PY - 1995/11
Y1 - 1995/11
N2 - Recently, Cherkaev, Lurie, and Milton (1992) established an invariance of stress field in planar linear anisotropic elasticity under a specific shift in bulk and shear moduli; this is now known as the CLM theorem. Motivated by the importance of micropolar models in mechanics of media with micropolar structures, Ostaja-Starzewski and Jasiuk (1995) generalized the CLM theorem to planar micropolar elastic materials and considered inhomogeneous simply-connected materials. The present study addresses inhomogeneous, multiply-connected materials (with holes), which require global compatibility conditions involving Ces/Lro integrals, as well as multi-phase simply-connected materials, where the interface conditions need to be considered. Just as in the previous paper, both of these cases display a reduction in the parameter space.
AB - Recently, Cherkaev, Lurie, and Milton (1992) established an invariance of stress field in planar linear anisotropic elasticity under a specific shift in bulk and shear moduli; this is now known as the CLM theorem. Motivated by the importance of micropolar models in mechanics of media with micropolar structures, Ostaja-Starzewski and Jasiuk (1995) generalized the CLM theorem to planar micropolar elastic materials and considered inhomogeneous simply-connected materials. The present study addresses inhomogeneous, multiply-connected materials (with holes), which require global compatibility conditions involving Ces/Lro integrals, as well as multi-phase simply-connected materials, where the interface conditions need to be considered. Just as in the previous paper, both of these cases display a reduction in the parameter space.
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U2 - 10.1115/1.3005060
DO - 10.1115/1.3005060
M3 - Article
AN - SCOPUS:0038280410
SN - 0003-6900
VL - 48
SP - S11-S18
JO - Applied Mechanics Reviews
JF - Applied Mechanics Reviews
IS - 11
ER -