Materials with Internal Structure

The book presents a series of concise papers by researchers specialized in various fields of continuum and computational mechanics and of material science. The focus is on principles and strategies for multiscale modeling and simulation of complex heterogeneous materials, with periodic or random microstructure, subjected to various types of mechanical, thermal, chemical loadings and environmental effects. A wide overview of complex behavior of materials (plasticity, damage, fracture, growth, etc.) is provided. Among various approaches, attention is given to advanced non-classical continua modeling which, provided by constitutive characterization for the internal and external actions (in particular boundary conditions), is a very powerful frame for the gross mechanical description of complex material behaviors, able to circumvent the restrictions of classical coarse-graining multiscale approaches.

Phase-field approaches to fracture: a critical assessment. - Modeling interface tensions in tumor growth. - On the effective properties of elastic materials and structures at the micro- and nanoscale considering various models of surface elasticity. - Tensor random fields. - Thermo-mechanical behavior of ceramic matrix composites. - Crystal plasticity, local-global damage description. - Materials with multiscale random microstructure. - Discrete-to-scale dependent continua via principle of virtual power.