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  • © 2016

Advanced Methods of Continuum Mechanics for Materials and Structures

  • Presents a collection of advanced continuum mechanics approaches
  • Offers theoretical foundations for the analysis of rods, shells,
  • and three-dimensional solids, as well as formulation of constitutive models for
  • advanced materials
  • Includes new approaches to the modeling of damage and fractures
  • Includes supplementary material: sn.pub/extras

Part of the book series: Advanced Structured Materials (STRUCTMAT, volume 60)

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Table of contents (29 chapters)

  1. Front Matter

    Pages i-xvii
  2. Fundamentals and Elasticity

    1. Front Matter

      Pages 1-1
    2. Time Derivatives in Material and Spatial Description—What Are the Differences and Why Do They Concern Us?

      • Elena A. Ivanova, Elena N. Vilchevskaya, Wolfgang H. Müller
      Pages 3-28
    3. The Cosserats’ Memoir of 1896 on Elasticity

      • Gérard A. Maugin
      Pages 29-47
  3. Visco-Elastic Media and Coupled Phenomena

    1. Front Matter

      Pages 77-77
    2. A Closed-Form Solution for a Linear Viscoelastic Self-gravitating Sphere

      • Wolfgang H. Müller, Elena N. Vilchevskaya
      Pages 79-101
    3. A Material Model for Electroactive Polymers

      • Kerstin Weinberg, Anna Pandolfi
      Pages 119-131
  4. Thermo-Elasto-Plasticity

    1. Front Matter

      Pages 133-133
    2. Crystal-Plasticity Simulation of Micromachining of Single-Crystal Metal: Methodology and Analysis

      • Qiang Liu, Srihari Dodla, Anish Roy, Vadim V. Silberschmidt
      Pages 165-183
    3. Warpage Variation Analysis of Si/Solder/Cu Layered Plates Subjected to Cyclic Thermal Loading

      • Nobutada Ohno, Satoshi Mizushima, Dai Okumura, Hisashi Tanie
      Pages 185-204
    4. A Note on Plasticity with Additional Internal Variables

      • Michael Wolff, Michael Böhm
      Pages 205-222
    5. Finite Inelastic Deformations of Compressible Soft Solids with the Mullins Effect

      • Heng Xiao, Hao Li, Zhao-Ling Wang, Zheng-Nan Yin
      Pages 223-241
  5. Continuum Damage and Phase Fields

    1. Front Matter

      Pages 261-261
    2. A Discussion on Gradient Damage and Phase-Field Models for Brittle Fracture

      • René de Borst, Clemens V. Verhoosel
      Pages 263-277

About this book

This volume presents a collection of contributions on advanced approaches of continuum mechanics, which were written to celebrate the 60th birthday of Prof. Holm Altenbach. The contributions are on topics related to the theoretical foundations for the analysis of rods, shells and three-dimensional solids, formulation of constitutive models for advanced materials, as well as development of new approaches to the modeling of damage and fractures.



Editors and Affiliations

  • Institute of Mechanics IFME, Otto von Guericke University, Magdeburg, Germany

    Konstantin Naumenko

  • Otto von Guericke University, Institute of Mechanics, Magdeburg, Germany

    Marcus Aßmus

Bibliographic Information

Buy it now

Buying options

eBook USD 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access