Innovative Numerical Approaches for Multi-Field and Multi-Scale Problems

This book provides readers with a detailed insight into diverse and exciting recent developments in computational solid mechanics, documenting new perspectives and horizons. The topics addressed cover a wide range of current research, from computational materials modeling, including crystal plasticity, micro-structured materials, and biomaterials, to multi-scale simulations of multi-physics phenomena. Particular emphasis is placed on pioneering discretization methods for the solution of coupled non-linear problems at different length scales. The book, written by leading experts, reflects the remarkable advances that have been made in the field over the past decade and more, largely due to the development of a sound mathematical background and efficient computational strategies. The contents build upon the 2014 IUTAM symposium celebrating the 60 th birthday of Professor Michael Ortiz, to whom this book is dedicated. His work has long been recognized as pioneering and is acontinuing source of inspiration for many researchers. It is hoped that by providing a "taste" of the field of computational mechanics, the book will promote its popularity among the mechanics and physics communities.

Covers the entire range of computational mechanics, from materials modeling to multi-scale simulations of multi-physics phenomena Describes pioneering discretization methods for the solution of coupled non-linear problems at different length scales Includes contributions by mathematicians and engineers who have worked together with Michael Ortiz Includes supplementary material: sn.pub/extras

Inhalt

Robust Numerical Schemes for an Efficient Implementation of Tangent Matrices: Application to Hyperelasticity, Inelastic Standard Dissipative Materials and Thermo-Mechanics at Finite Strains.- Folding patterns in partially delaminated thin films.- Thermo-mechanical Behavior of Confined Granular Systems.- Elastomeric gels: a model and first results.- A Tensegrity Paradigm for Minimal Mass Design of Roofs and Bridges.- Universal Meshes for the Simulation of Brittle Fracture and Moving Boundary Problems.- Free energy, free entropy, and a gradient structure for Thermoplasticity.- Comparison of isotropic elasto-plastic models for the plastic metric tensor C p = F T p F p .- Quasi-static evolutions in brittle fracture generated by gradient flows: sharp crack and phase-field approaches.- Improving the Material-PointMethod.- Meshfree methods applied to consolidation problems in saturated Soils.- A multiscale microstructural model of permeability in fractured Solids.- Thermal diffusion in a polymer blend