Titlebook: Innovative Numerical Approaches for Multi-Field and Multi-Scale Problems; In Honor of Michael Kerstin Weinberg,Anna Pandolfi Book 2016 Spr

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Book 2016 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 communiti

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Quasi-Static Evolutions in Brittle Fracture Generated by Gradient Flows: Sharp Crack and Phase-Fielted to the gradient flow is not “user supplied”, however, the algorithm itself together with the separate quadratic structure of the energy defines a family of norms which, in the limit, characterizes the quasi-static evolution. Mathematically speaking, all of these evolutions are (parametrized) .-evolutions.

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Thermal Diffusion in a Polymer Blend,n is embedded in a NURBS-based finite element framework. Numerical simulations and a comparison to experimental results show the effect of thermal diffusion, induced by non-uniform and non-steady temperature fields, on the microstructural evolution of a binary polymer blend consisting of polydimethylsiloxane and polyethylmethylsiloxane.

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Folding Patterns in Partially Delaminated Thin Films,he difference in thermal expansion coefficients between film and substrate. In the following two decades different geometries have been studied, as for example anisotropic compression. We review recent mathematical progress in this area, focusing on the rich phase diagram of partially debonded films with a lateral boundary condition.