Analytical Estimate of Interaction among Ellipsoidal Inclusions: Upper and Lower Bounds for Strain Energy Due to Interaction

摘要: Recent advancement of material and computer sciences enables one to analyze behavior members structures made composite materials with superior properties, using a large numerical computation. The developed computational mechanics is being applied highly heterogeneous inelastic geomaterials predict foundations or underground structures. It essential in such computation implement the constitutive relations which exhibits anisotropy, inelasticity, nonlinearity path-dependence. Micromechanical analysis effective predicting since responses are often due irreversible deformation, failure evolution microconstituents. To reduce required efforts, ought lead closed-form expression relations.