Advances in Extended and Multifield Theories for Continua

Bernd Markert, born 1958, is Professor of Environmental Technology and former director of the International Graduate School Zittau (Germany). His professional interests include the biogeochemistry of trace substances in the water/soil/plant system, instrumental analysis of chemical elements, eco- and human toxicology of hazardous substances, pollution control by use of bioindicators and technologies for waste management, environmental restoration, and remedial action on soils. Professor Markert has so far (co)published 18 books.

Modern computational techniques, such as the Finite Element Method, have, since their development several decades ago, successfully exploited continuum theories for numerous applications in science and technology. Although standard continuum methods based upon the Cauchy-Boltzmann continuum are still of great importance and are widely used, it increasingly appears that material properties stemming from microstructural phenomena have to be considered. This is particularly true for inhomogeneous load and deformation states, where lower-scale size effects begin to affect the macroscopic material response; something standard continuum theories fail to account for. Following this idea, it is evident that standard continuum mechanics has to be augmented to capture lower-scale structural and compositional phenomena, and to make this information accessible to macroscopic numerical simulations.

Advances in Extended and Multifield Theories for Continua

Continuum Thermodynamic and Rate Variational Formulation of Models for Extended Continua.- From Lattice Models to Extended Continua.- Rotational Degrees of Freedom in Modeling Materials with Intrinsic Length Scale.- Micromorphic vs. Phase-Field Approaches for Gradient Viscoplasticity and Phase Transformations.- Geometrically Nonlinear Continuum Thermomechanics Coupled to Diffusion: A Framework for Case II Diffusion.- Effective Electromechanical Properties ofHeterogeneous Piezoelectrics.- Coupled Thermo- and Electrodynamics ofMultiphasic Continua.- Ice Formation in Porous Media.- Optical Measurements for a Cold-Box Sand and Aspects of Direct and Inverse Problems for Micropolar Elasto-Plasticity.- Model Reduction for Complex Continua - at the Example of Modeling Soft Tissue in the Nasal Area.