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  • © 2017

Mathematical Modelling in Solid Mechanics

  • Provides an excellent state of the art in the field of mathematical modelling in mechanics
  • Offers new results, techniques and concepts
  • Presents selected papers presented at ETAMM 2016
  • Includes supplementary material: sn.pub/extras

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

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Table of contents (18 chapters)

  1. Front Matter

    Pages i-xv
  2. Convergence of Hencky-Type Discrete Beam Model to Euler Inextensible Elastica in Large Deformation: Rigorous Proof

    • Jean-Jacques Alibert, Alessandro Della Corte, Pierre Seppecher
    Pages 1-12
  3. Flow Relations and Yield Functions for Dissipative Strain-Gradient Plasticity

    • Carsten Carstensen, François Ebobisse, Andrew T. McBride, B. Daya Reddy, Paul Steinmann
    Pages 31-42
  4. Modeling Deformable Bodies Using Discrete Systems with Centroid-Based Propagating Interaction: Fracture and Crack Evolution

    • Alessandro Della Corte, Antonio Battista, Francesco dell’Isola, Ivan Giorgio
    Pages 59-88
  5. A Review on Wave Propagation Modeling in Band-Gap Metamaterials via Enriched Continuum Models

    • Angela Madeo, Patrizio Neff, Gabriele Barbagallo, Marco Valerio d’Agostino, Ionel-Dumitrel Ghiba
    Pages 89-105
  6. A Continuous Model for the Wave Scattering by a Bounded Defective Domain

    • Loïc Le Marrec, Lalaonirina R. Rakotomanana
    Pages 107-122
  7. A History-Dependent Variational-Hemivariational Inequality in Contact Mechanics

    • Stanisław Migórski, Mircea Sofonea
    Pages 123-134
  8. New Thoughts in Nonlinear Elasticity Theory via Hencky’s Logarithmic Strain Tensor

    • Patrizio Neff, Robert J. Martin, Bernhard Eidel
    Pages 165-180
  9. A Variational-Hemivariational Inequality in Contact Mechanics

    • Mircea Sofonea, Weimin Han, Mikaël Barboteu
    Pages 251-264
  10. Truncation and Indirect Incremental Methods in Hencky’s Perfect Plasticity

    • Stanislav Sysala, Jaroslav Haslinger
    Pages 265-284
  11. Can a Hencky-Type Model Predict the Mechanical Behaviour of Pantographic Lattices?

    • 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.

Editors and Affiliations

  • Università di Roma "La Sapienza" , Roma, Italy

    Francesco dell'Isola

  • Université de Perpignan Via Domitia, LAboratoire de Mathématiques et PhySique Université de Perpignan Via Domitia, Perpignan, France

    Mircea Sofonea

  • Dept Mechanical Engineering, UC Berkeley Dept Mechanical Engineering, Berkeley, USA

    David Steigmann

Bibliographic Information

Buy it now

Buying options

eBook USD 99.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 129.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 179.99
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