This volume presents recent research work focused in the development of adequate theoretical and numerical formulations to describe the behavior of advanced engineering materials. Particular emphasis is devoted to applications in the fields of biological tissues, phase changing and porous materials, polymers and to micro/nano scale modeling. Sensitivity analysis, gradient and non-gradient based optimization procedures are involved in many of the chapters, aiming at the solution of constitutive inverse problems and parameter identification. All these relevant topics are exposed by experienced international and inter institutional research teams resulting in a high level compilation. The book is a valuable research reference for scientists, senior undergraduate and graduate students, as well as for engineers acting in the area of computational material modeling.

Modelling of Surface Phenomena in the Theory of Elasticity.- Topological Derivative-Based Topology Design of Micro-Structures.- Sensitivity Analysis of Micro Models of Pure Metals Solidification.- A Variational Approach for the Constitutive Modelling of Fiber Reinforced Soft Biological Tissues.- Sensitivity Analysis of Temperature Field and Parameter Identification in  Burned and Healthy Skin Tissue.- hp-FEM Analysis of Hyperelastic Materials with Continuum Damage.- Mechanical Characterization of the Human Aorta: Experiments, Modelling and Simulation.- Modelling and Optimization of Functionally Graded Materials Considering Impact Applications.- Optimization of Thickness-Through Property Profiles in FGM Surface Coatings Subject to Thermo-Mechanical Loading.- Numerical Simulation of Laser Beam Processing of Cellular Metals.- Metallic Foam Density Distribution Optimization Using Genetic Algorithms and Voronoi Tessellation.- Modelling Material Behaviour of Polymers.- Material model based on response surfaces of NURBS.- Constitutive Characterization of Hyperelastic Materials Considering the Baker-Ericksen Inequalities.