Mathematical Modelling in Solid Mechanics

  • Francesco dell'Isola
  • Mircea Sofonea
  • David Steigmann

Part of the Advanced Structured Materials book series (STRUCTMAT, volume 69)

Table of contents

  1. Front Matter
    Pages i-xv
  2. Jean-Jacques Alibert, Alessandro Della Corte, Pierre Seppecher
    Pages 1-12
  3. Carsten Carstensen, François Ebobisse, Andrew T. McBride, B. Daya Reddy, Paul Steinmann
    Pages 31-42
  4. Alessandro Della Corte, Antonio Battista, Francesco dell’Isola, Ivan Giorgio
    Pages 59-88
  5. Angela Madeo, Patrizio Neff, Gabriele Barbagallo, Marco Valerio d’Agostino, Ionel-Dumitrel Ghiba
    Pages 89-105
  6. Loïc Le Marrec, Lalaonirina R. Rakotomanana
    Pages 107-122
  7. Stanisław Migórski, Mircea Sofonea
    Pages 123-134
  8. Patrizio Neff, Robert J. Martin, Bernhard Eidel
    Pages 165-180
  9. Mircea Sofonea, Weimin Han, Mikaël Barboteu
    Pages 251-264
  10. Stanislav Sysala, Jaroslav Haslinger
    Pages 265-284
  11. Emilio Turco, Maciej Golaszewski, Ivan Giorgio, Luca Placidi
    Pages 285-311
  12. Back Matter
    Pages 313-316

About this book


This book presents new research results in multidisciplinary fields of mathematical and numerical modelling in mechanics. The chapters treat the topics:

  • mathematical modelling in solid, fluid and contact mechanics
  • nonconvex variational analysis with emphasis to nonlinear solid and structural mechanics
  • numerical modelling of problems with non-smooth constitutive laws, approximation of variational and hemivariational inequalities, numerical analysis of discrete schemes, numerical methods and the corresponding algorithms, applications to mechanical engineering
  • numerical aspects of non-smooth mechanics, with emphasis on developing accurate and reliable computational tools
  • mechanics of fibre-reinforced materials
  • behaviour of elasto-plastic materials accounting for the microstructural defects
  • definition of structural defects based on the differential geometry concepts or on the atomistic basis
  • interaction between phase transformation and dislocations at nano-scale
  • energetic arguments
  • bifurcation and post-buckling analysis of elasto-plastic structures
  • engineering optimization and design, global optimization and related algorithms

The book presents selected papers presented at ETAMM 2016. It includes new and original results written by internationally recognized specialists.


ETAMM 2016 nonconvex variational analysis nonsmooth constitutive laws fibre-reinforced materials microstructural defects balance equations free energy imbalance post-buckling analysis

Editors and affiliations

  • Francesco dell'Isola
    • 1
  • Mircea Sofonea
    • 2
  • David Steigmann
    • 3
  1. 1.Università di Roma "La Sapienza" RomaItaly
  2. 2.Université de Perpignan Via DomitiaLAboratoire de Mathématiques et PhySique Université de Perpignan Via DomitiaPerpignanFrance
  3. 3.Dept Mechanical EngineeringUC Berkeley Dept Mechanical EngineeringBerkeleyUSA

Bibliographic information

  • DOI
  • Copyright Information Springer Nature Singapore Pte Ltd. 2017
  • Publisher Name Springer, Singapore
  • eBook Packages Engineering Engineering (R0)
  • Print ISBN 978-981-10-3763-4
  • Online ISBN 978-981-10-3764-1
  • Series Print ISSN 1869-8433
  • Series Online ISSN 1869-8441
  • Buy this book on publisher's site
Industry Sectors
Materials & Steel
Consumer Packaged Goods
Energy, Utilities & Environment
Oil, Gas & Geosciences