Elastic behavior of composite materials: Theoretical foundations. (English) Zbl 0512.73056

Walpole, L. J.

Adv. Appl. Mech. 21, 169-242 (1981).

MSC:

74E30	Composite and mixture properties
74E05	Inhomogeneity in solid mechanics
53A45	Differential geometric aspects in vector and tensor analysis
74Axx	Generalities, axiomatics, foundations of continuum mechanics of solids

Keywords:

theoretical foundations; field equations; integral equations; self consistent model; homogeneous continuum; tensor of elastic moduli; rules of decomposition of fourth order tensors; two isotropic tensors; tensor for transverse isotropy constructed as linear combination of six elementary tensors; stiffness tensor; compliance tensor; strain; stress; method of Eshelby; total strain energy; inequalities describing lower and upper values of tensor in inclusion; review; summary; bibliography