On the effective properties of foams in the framework of the couple stress theory
Andrzej Skrzat, Victor A. Eremeyev
Abstract
Abstract In the framework of the couple stress theory, we discuss the effective elastic properties of a metal open-cell foam. In this theory, we have the couple stress tensor, but the microrotations are fully described by displacements. To this end, we performed calculations for a representative volume element which give the matrices of elastic moduli relating stress and stress tensors with strain and microcurvature tensors.
Topics & Concepts
Cauchy stress tensorStructural materialStress (linguistics)Tensor (intrinsic definition)Elastic modulusViscous stress tensorStress–strain curveMaterials scienceInfinitesimal strain theoryModuliClassical mechanicsFinite element methodMathematical analysisMathematicsPhysicsGeometryComposite materialThermodynamicsDeformation (meteorology)LinguisticsPhilosophyQuantum mechanicsNonlocal and gradient elasticity in micro/nano structuresCellular and Composite StructuresComposite Structure Analysis and Optimization