Continuum Models for Materials with MicrostructureH.-B. Mühlhaus 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. |
Contents
Model of Periodic Crack Arrays | 69 |
Nonlocal Damage | 105 |
14 | 135 |
Copyright | |
14 other sections not shown
Common terms and phrases
Aifantis analysis assumed Bazant behavior bifurcation boundary conditions cavity compression computed concrete constant constitutive equations constitutive model continua Continuum Models continuum theory corresponding couple stress curve damage model defined deformation denotes density dependence derived Desai deviatoric discretization dislocation displacement effect elastoplastic evolution experimental failure Figure finite element function gradient plasticity gradient-dependent grain granular materials incremental initial integration interaction internal length lattice linear linear elastic loading localisation localization Lüders material matrix Mech Mechanics mesh microcracking microdefect micropolar microstructure mode modulus Mühlhaus nonlocal normal numerical observed obtained parameters particle phase velocity plane plane strain plastic strain Poisson's ratio predictions problem propagation response rotation shear band shear modulus shear stress solid solution specimen stiffness strain rate strain softening strain tensor stress tensor stress-strain structure surface tensile tests theory uniaxial Vardoulakis vector velocity wave number yield Young's modulus zero zone