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Holm Altenbach Analysis of Homogeneous and Non-homogeneous Plates 1 Classification of Structural Models 1.1 Introductional Remarks 1.2 Two-dimensional Structures-Definition, Applications, Some Basic References 1.3 Formulation Principles, Historical Remarks 2 Classical Plate Theories 2.1 Small Deflections 2.2 Large Deflections 2.3 Kirchhoff Plate 2.4 Mindlin Plate 2.5 Von Kármán Plate 3 Laminates and Sandwiches 4 Direct Approach Based Plate Theory 4.1 Motivation 4.2 Direct Approach for Plates and Shells 4.3 Tensors and Their Symmetry Groups 5 Final Remarks References René de Borst Numerical methods for the modelling of debonding in composites 1 Introduction 2 Levels of observation 3 Three-dimensional framework 4 Zero-thickness interface elements 5 Solid-like shell formulation 6 Meshfree methods 7 The partition-of-unity concept 8 Delamination in a solid-like shell element 9 Discontinuous Galerkin methods References Ryszard Pyrz Micromechanics of Composites -Overall Elastic Properties 1 Introduction 2 Representative Volume Element 3 The Eshelby Equivalent Inclusion Method 3.1 Average strain and stress theorems 3.2 Relation between averages 3.3 The Eshelby solution 3.4 Equivalent inclusion method 4 The Mori-Tanaka Theory References Tomasz Sadowski Non-symmetric thermal shock in ceramic matrix composite (CMC) materials 1. Introduction to ceramic and metal matrix composites 2. Thermomechanical properties of CMC’s and MMC’s 2.1 Two-phase CMC with different elastic components 2.2 Two-phase CMC’s with plastic inclusions and MMC’s with elastic inclusions 2.2.1Thermomechanical properties 2.2.2 Modelling of the whole stress-strain curve fro MMC 2.2.3 Constitutive equations for FGM’s in 3-D formulation by self-consistent approach 2.2.3 Constitutive equations for FGM’s in 3-D formulation by self-consistent approach 3. Temperature field under transient thermal loading 3.1 FEA approach for heat transfer equation (26) 3.2 FD approach for heat transfer equation (26) 4. Transient thermal stress state 5. Thermal residual stress due to technological cooling process 5.1 Analytical models 5.2 Numerical models 6. Basic fracture mechanics concepts in functionally graded materials (FGM) 6.1 Rule of mixture to estimate the fracture toughness in FGMs 6.2 Crack-bridging approach to assess the fracture toughness 7. Non-symmetric thermal shock in monolithic ceramic and FGM strip 7.1 Transient temperature distribution during thermal shock 7.2 Thermal and residual stresses 7.3 Thermal stress intensity factor 7.4 Numerical example 8. Two-dimensional thermal shock problem in layered circular plates 8.1 Samples preparation and experimental procedure 8.2 Theoretical formulation 8.2.1 Thermal and mechanical properties of monolithic and FGM material 8.2.2 Heat conduction problem in FGM circular plate specimens 8.2.3 Determination of the thermal stress 8.3 Numerical example 9. Concluding remarks 10. References René de Borst J. Rethore M.-A. Abellan A precis of two-scale approaches for fracture in porous media 1. Introduction 2. Balance equations 3. Constitutive equations 4. Weak form of the balance equations 5. Micro-macro coupling 6. Discontinuities in a two-phase medium 7. Examples: stationary and propagating cracks 8. Concluding
