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Second-order homogenization estimates incorporating field fluctuations in finite elasticity. (English) Zbl 1095.74026

Hyperelastic composites subjected to finite deformation are under consideration. Using of the previously proposed [P. Ponte Castañeda, J. Mech. Phys. Solids 50, No. 4, 737–757 (2002; Zbl 1116.74412)] variant of homogenization procedure gives a possibility to estimate effective behaviour of these materials.

MSC:

74Q20 Bounds on effective properties in solid mechanics
74Q05 Homogenization in equilibrium problems of solid mechanics
74Q15 Effective constitutive equations in solid mechanics
74E30 Composite and mixture properties
74B20 Nonlinear elasticity

Citations:

Zbl 1116.74412
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References:

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