Mathematical Modelling in Solid Mechanics

✍ Scribed by Francesco dell'Isola, Mircea Sofonea, David Steigmann (eds.)

• Publisher: Springer Singapore
• Year: 2017
• Tongue: English
• Leaves: 327
• Series: Advanced Structured Materials 69
• Edition: 1
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

Front Matter....Pages i-xv
Convergence of Hencky-Type Discrete Beam Model to Euler Inextensible Elastica in Large Deformation: Rigorous Proof....Pages 1-12
Analysis of the Deformation of Cosserat Elastic Shells Using the Dislocation Density Tensor....Pages 13-30
Flow Relations and Yield Functions for Dissipative Strain-Gradient Plasticity....Pages 31-42
Finite Elasto-Plastic Models for Lattice Defects in Crystalline Materials....Pages 43-57
Modeling Deformable Bodies Using Discrete Systems with Centroid-Based Propagating Interaction: Fracture and Crack Evolution....Pages 59-88
A Review on Wave Propagation Modeling in Band-Gap Metamaterials via Enriched Continuum Models....Pages 89-105
A Continuous Model for the Wave Scattering by a Bounded Defective Domain....Pages 107-122
A History-Dependent Variational-Hemivariational Inequality in Contact Mechanics....Pages 123-134
Monolithic Algorithm for Dynamic Fluid-Structure Interaction Problem....Pages 135-146
Elastic-Plastic Rolling Contact Problems with Graded Materials and Heat Exchange....Pages 147-163
New Thoughts in Nonlinear Elasticity Theory via Hencky’s Logarithmic Strain Tensor....Pages 165-180
Continuum Physics with Violations of the Second Law of Thermodynamics....Pages 181-192
An Inverse Method to Get Further Analytical Solutions for a Class of Metamaterials Aimed to Validate Numerical Integrations....Pages 193-210
Identification of Two-Dimensional Pantographic Structures with a Linear D4 Orthotropic Second Gradient Elastic Model Accounting for External Bulk Double Forces....Pages 211-232
Models of Debonding Caused by Vibrations, Heat and Humidity....Pages 233-250
A Variational-Hemivariational Inequality in Contact Mechanics....Pages 251-264
Truncation and Indirect Incremental Methods in Hencky’s Perfect Plasticity....Pages 265-284
Can a Hencky-Type Model Predict the Mechanical Behaviour of Pantographic Lattices?....Pages 285-311
Back Matter....Pages 313-316

✦ Subjects

Continuum Mechanics and Mechanics of Materials;Computational Science and Engineering;Numeric Computing;Numerical and Computational Physics, Simulation