Continuum Models for Materials with Microstructure

Continuum Models for Materials with Microstructure Edited by H. B. Mühlhaus, CSIRO, Nedlands, Australia When the characteristic length–scale (‘fabric dimension’) of the microstructure of materials is not small when compared to the macroscopic dimensions, the well established framework for the modelling of deformation processes for simple materials needs enhancement. To introduce an internal length scale, one has to resort to continuum models such as Nonlocal Theories, Cosserat or Gradient–type Models, Discrete Element and Lattice Theories or modified Viscoplastic Models. These new approaches are addressed in this volume. It includes contributions from research areas as diverse as bio–mechanics, concrete engineering and solid state physics. Generalised continuum models and its applications are presented and complemented by numerical and analytical tools for the solution of boundary value problems.

Experimental Methods for Study of Cosserat Elastic Solids and Other Generalized Elastic Continua (R. Lakes).

A Micromechanics–Based Continuum Theory for Microcracking Localization of Rocks Under Compression (Y. Okui & H. Horii).

Equilibrium Bifurcations in Dipole Asymptotics Model of Periodic Crack Arrays (A. Dyskin).

Non–Local Damage (G. Pijaudier–Cabot).

A Gradient–Dependent Elastic Model for Granular Materials and Strain Localization (F. Oka).

Computational Issues in Gradient Plasticity (R. de Borst, et al.).

Microstructure and Scale Effect in Granular Rocks (J. Sulen, et al.).

Constitutive Modelling Using the Disturbed State as Microstructure Self–Adjustment Concept (C. Desai).

Localization in Micropolar Continua (K. William, et al.).

Lattice Type Fracture Models for Concrete (J. van Mier, et al.).

Constitutive Modeling for Nanostructured Materials (W. Milligan, et al.).

Spatial Coupling and Propagative Plastic Instabilities (Y. Estrin & L. Kubin).

A Relative Gradient Model for Laminated Materials (H.–B.

Mühlhaus).

Index.