Deformation and Failure in Metallic Materials

This book is devoted to the deformation and failure in metallic materials, summarizing the results of a research programme financed by the "Deutsche Forschungsgemeinschaft". It presents the recent engineering as well as mathematical key aspects of this field for a broad community. Its main focus is on the constitutive behaviour as well as the damage and fracture of metallic materials, covering their mathematical foundation, modelling and numerics, but also relevant experiments and their verification.

Contenu

I. Constitutive Behaviour - Modelling and Numerics.- Numerical Treatment of Material Equations with Yield Surfaces.- Differential-Algebraic Equations in Elasto-Viscoplasticity.- Finite Element Analysis of Anisotropic Structures at Large Inelastic Deformations.- Use of the Elastic Predictor-Plastic Corrector Method for Integrating Finite Deformation Plasticity Laws.- A Model of Finite Strain Viscoplasticity with an Anisotropic Elastic Constitutive Law.- II. Constitutive Behaviour - Experiments and Verification.- Identification of Material Parameters for Inelastic Constitutive Models: Stochastic Simulation.- A Simple Model for Describing Yield Surface Evolution During Plastic Flow.- Damage and Failure of Ceramic Metal Composites.- III. Constitutive Behaviour - Mathematical Foundation.- Monotone Constitutive Equations in the Theory of Inelastic Behaviour of Metals - A Summary of Results.- Some Results Concerning the Mathematical Treatment of Finite Plasticity.- Initial Boundary Value Problems in Continuum Mechanics.- Justification of Homogenized Models for Viscoplastic Bodies with Microstructure.- IV. Damage and Fracture.- Models and Experiments Describing Deformation, Roughness and Damage in Metal Forming.- Remarks on the Use of Continuum Damage Models and on the Limitations of their Applicability in Ductile Fracture Mechanics.- Ductile Crack Growth in Metallic Foams.- The Principle of Generalized Energy Equivalence in Continuum Damage Mechanics.- Inde.