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

In Honor of Michael Ortiz's 60th Birthday

  • Book
  • © 2016

Overview

Editors:
  1. Kerstin Weinberg

    1. FB 11 - Maschinenbau, Universität Siegen, Siegen, Germany

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    You can also search for this editor in PubMed   Google Scholar

  2. Anna Pandolfi

    1. Politecnico di Milano, Milano, Italy

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  • 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

Part of the book series: Lecture Notes in Applied and Computational Mechanics (LNACM, volume 81)

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Table of contents (13 chapters)

  1. Front Matter

    Pages i-viii
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  2. Robust Numerical Schemes for an Efficient Implementation of Tangent Matrices: Application to Hyperelasticity, Inelastic Standard Dissipative Materials and Thermo-Mechanics at Finite Strains

    • Masato Tanaka, Daniel Balzani, Jörg Schröder
    Pages 1-23

  3. Folding Patterns in Partially Delaminated Thin Films

    • David Bourne, Sergio Conti, Stefan Müller
    Pages 25-39

  4. Thermo-mechanical Behavior of Confined Granular Systems

    • Gülşad Küçük, Marcial Gonzalez, Alberto M. Cuitiño
    Pages 41-57

  5. Elastomeric Gels: A Model and First Results

    • Mariarita de Luca, Antonio DeSimone
    Pages 59-89

  6. A Tensegrity Paradigm for Minimal Mass Design of Roofs and Bridges

    • Gerardo Carpentieri, Fernando Fraternali, Robert E. Skelton
    Pages 91-114

  7. Universal Meshes for the Simulation of Brittle Fracture and Moving Boundary Problems

    • Maurizio M. Chiaramonte, Evan S. Gawlik, Hardik Kabaria, Adrian J. Lew
    Pages 115-134

  8. Free Energy, Free Entropy, and a Gradient Structure for Thermoplasticity

    • Alexander Mielke
    Pages 135-160

  9. Comparison of Isotropic Elasto-Plastic Models for the Plastic Metric Tensor \(C_p=F_p^T\, F_p\)

    • Patrizio Neff, Ionel-Dumitrel Ghiba
    Pages 161-195

  10. Quasi-Static Evolutions in Brittle Fracture Generated by Gradient Flows: Sharp Crack and Phase-Field Approaches

    • Matteo Negri
    Pages 197-216

  11. Improving the Material-Point Method

    • Deborah Sulsky, Ming Gong
    Pages 217-240

  12. Meshfree Methods Applied to Consolidation Problems in Saturated Soils

    • Pedro Navas, Susana López-Querol, Rena C. Yu, Bo Li
    Pages 241-264

  13. A Multiscale Microstructural Model of Permeability in Fractured Solids

    • Anna Pandolfi, Maria Laura De Bellis, Gabriele Della Vecchia
    Pages 265-283

  14. Thermal Diffusion in a Polymer Blend

    • Kerstin Weinberg, Stefan Schuß, Denis Anders
    Pages 285-307
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Keywords

About this book

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 60th 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.

Editors and Affiliations

  • FB 11 - Maschinenbau, Universität Siegen, Siegen, Germany

    Kerstin Weinberg

  • Politecnico di Milano, Milano, Italy

    Anna Pandolfi

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