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

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

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3. Folding Patterns in Partially Delaminated Thin Films

   • David Bourne, Sergio Conti, Stefan Müller

   Pages 25-39

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4. Thermo-mechanical Behavior of Confined Granular Systems

   • Gülşad Küçük, Marcial Gonzalez, Alberto M. Cuitiño

   Pages 41-57

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5. Elastomeric Gels: A Model and First Results

   • Mariarita de Luca, Antonio DeSimone

   Pages 59-89

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

   • Gerardo Carpentieri, Fernando Fraternali, Robert E. Skelton

   Pages 91-114

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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

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

   • Alexander Mielke

   Pages 135-160

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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

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

    • Matteo Negri

    Pages 197-216

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11. Improving the Material-Point Method

    • Deborah Sulsky, Ming Gong

    Pages 217-240

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12. Meshfree Methods Applied to Consolidation Problems in Saturated Soils

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

    Pages 241-264

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13. A Multiscale Microstructural Model of Permeability in Fractured Solids

    • Anna Pandolfi, Maria Laura De Bellis, Gabriele Della Vecchia

    Pages 265-283

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14. Thermal Diffusion in a Polymer Blend

    • Kerstin Weinberg, Stefan Schuß, Denis Anders

    Pages 285-307

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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.

• Advanced Finite Element Methods
• Numerical Mechanics
• Computational Solid Mechanics
• Computational Materials Modeling
• Multi-physics Phenomena
• Multi-scale Simulations
• Micro-structured Materials
• Crystal Plasticity

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

  Kerstin Weinberg

• Politecnico di Milano, Milano, Italy

  Anna Pandolfi

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