Advances in Continuum Mechanics 39 Papers from International Experts Dedicated to Horst Lippmann

Recognized authors contributed to this collection of original papers from all fields of research in continuum mechanics. Special emphasis is given to time dependent and independent permanent deformations, damage and fracture. Part of the contributions is dedicated to current efforts in describing material behavior with regard to, e.g., anisotropy, thermal effects, softening, ductile and brittle fracture, porosity and granular structure. Another part deals with numerical aspects arising from the implementation of material laws in the calculations of forming processes, soil mechanics and structural mechanics. Applications of theory and numerical methods belong to the following areas: Comparison with experimental results from material testing, metal forming under thermal and dynamic conditions, failure by damage, fracture and localized deformation modes. The variety of treated topics provides a survery of the actual research in these fields; therefore, the book is addressed to those interested in special problems of continuum mechanics as well as to those interested in a general knowledge.

1 Fundamentals of Plasticity.- Some remarks on the phenomenological description of anisotropic behaviour of elasticplastic solids.- On the choice of integrity base of strain invariants for constitutive equations of isotropic materials.- Modification of the normality rule.- Plastic behaviour of saturated porous media.- Compressible plastic deformation of porous metals.- Application of the mathematical theory of plasticity for developing new methods of material testing.- Stochastic models for the plasticity of metals.- A concept for modelling and computation of finite inelastic deformations.- 2 Applied Plasticity.- A theoretical and experimental modeling of the mechanics of ductile fracture in metals.- A numerical Cosserat-approach predicting the statical stability of a plane frictionless block-structure, and its boundary conditions.- Evolution of anisotropy in sheet-steels submitted to off-axes large deformations.- On the theory of plane strain deformations of critical state models for sands.- On the quasi-analytical solutions of elasticplastic problems with nonlinear hardening.- Some mechanisms of a granular mass in a silo — model tests and a numerical Cosserat approach.- Experimental investigation on plastic deformation of stainless steel at low temperature.- Upper bound approach for prediction of occurence of ductile fracture in metal forming.- 3 Critical States, Failure and Fracture.- Plasticity-related critical states and failure criteria.- Physical argument for nonlocality of microcracking damage in a continuum.- Plastic localization in damaged materials.- Some remarks to the application of damage mechanics to low cycle fatigue.- A new integral equation approach for the curved crack problem in a circular plate.- Crack analysis in fibrous composites with partiallyplastified matrix materials.- On isolated point singularities in classical elasticity.- Localization within the framework of micropolar elasto-plasticity.- Bifurcation phenomena of compressible materials in the plane tension or compression test.- 4 Dynamic Elasto-Plasticity.- Impact load on elastic rod embedded in a rigid plastic medium.- Micromechanical foundations of dynamic plasticity with applications to damaging structures.- The elastic continuum with a cylindrical hole subjected to a moving time depending load.- Elastic-plastic wave propagation of combined generalized forces in a Timoshenko beam.- On the limit analysis of high speed forming processes in cold or hot conditions.- 5 Thermomechanics.- Thermomechanical simulation of some types of steady continuous casting processes.- Some aspects of nonlinear thermomechanical structure analysis.- On the thermodynamics of rate-independent, elastoplastic materials.- Some remarks on thermo-mechanical hysteresis.- Analysis of recovery stress and cyclic deformation in shape memory alloys.- 6 Rheology of Solids.- On a hybrid method to analyse viscoelastic problems.- Energetical aspects of polymer failure.- Creep behavior of SUS304 after cyclic plasticity.- The time history analysis of viscoelastic structures by mathematical programming.