Part I: Consistent Non Local Coupled Damage Model and Its Application in Impact Response of Composite Materials 1 Prologue 2 Nonlocal formulation of the highvelocity impact induced damage 3 Mechanics of small damage in fiber reinforced composite materials 4 A comparative study of damage variables in continuum damage mechanics 5 Computational aspects of the proposed theory 6 Verification and validation of the theoretical formulation 7 Application of the theory in studying high velocity Part II: Advances in Statistical Damage Mechanics (SDM): New Modeling Strategies 1 Introduction: from continuum to discrete modeling 2 One-dimensional models: Parallel Bundles Systems (PBS) 3 Higher-dimensional models: Spring networks 4 More related work 5 Concluding remarks Part III: Application of the ThermodynamicalTheory of ElastoViscoplasticity in Modern Manufacturing Processes 1 Prologue 2 The thermodynamical theory of elasto-viscoplasticity 3 Constitutive modelling for dynamic cyclic loadings 4 Localization and localized fracture phenomena in cyclic dynamic loading processes 5 Numerical analysis of macrocrack propagation along a bimaterial interface under dynamic loading processes 6 Numerical investigation of dynamic shear bandsin inelastic solids as a problem of mesomechanics 7

Part II: Advances in Statistical Damage Mechanics (SDM): New Modeling Strategies 1 Introduction: from continuum to discrete modeling 2 One-dimensional models: Parallel Bundles Systems (PBS) 3 Higher-dimensional models: Spring networks 4 More related work 5 Concluding remarks Part III: Application of the ThermodynamicalTheory of ElastoViscoplasticity in Modern Manufacturing Processes 1 Prologue 2 The thermodynamical theory of elasto-viscoplasticity 3 Constitutive modelling for dynamic cyclic loadings 4 Localization and localized fracture phenomena in cyclic dynamic loading processes 5 Numerical analysis of macrocrack propagation along a bimaterial interface under dynamic loading processes 6 Numerical investigation of dynamic shear bandsin inelastic solids as a problem of mesomechanics 7 Numerical investigation of localized fracturephenomena in inelastic solids 8 Epilogue References