Advanced Methods of Continuum Mechanics for Materials and Structures

✍ Scribed by Konstantin Naumenko, Marcus Aßmus (eds.)

• Publisher: Springer Singapore
• Year: 2016
• Tongue: English
• Leaves: 555
• Series: Advanced Structured Materials 60
• Edition: 1
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

Front Matter....Pages i-xvii
Front Matter....Pages 1-1
Time Derivatives in Material and Spatial Description—What Are the Differences and Why Do They Concern Us?....Pages 3-28
The Cosserats’ Memoir of 1896 on Elasticity....Pages 29-47
On Equivalent Inhomogeneities for Particles with Multiple-Component Interphases....Pages 49-60
The Influence of Distributed Dislocations on Large Deformations of an Elastic Sphere....Pages 61-76
Front Matter....Pages 77-77
A Closed-Form Solution for a Linear Viscoelastic Self-gravitating Sphere....Pages 79-101
Constitutive Modelling of the Glass Transition and Related Phenomena: Relaxation of Shear Stress Under Pressure....Pages 103-118
A Material Model for Electroactive Polymers....Pages 119-131
Front Matter....Pages 133-133
Finite Elastoplasticity with Thermal Effects—Some Unexpected Phenomena....Pages 135-164
Crystal-Plasticity Simulation of Micromachining of Single-Crystal Metal: Methodology and Analysis....Pages 165-183
Warpage Variation Analysis of Si/Solder/Cu Layered Plates Subjected to Cyclic Thermal Loading....Pages 185-204
A Note on Plasticity with Additional Internal Variables....Pages 205-222
Finite Inelastic Deformations of Compressible Soft Solids with the Mullins Effect....Pages 223-241
Effect of Geometric Dimension on the Dissipative Property of the Structures Consisting of NiTi Shape Memory Alloy Wires....Pages 243-260
Front Matter....Pages 261-261
A Discussion on Gradient Damage and Phase-Field Models for Brittle Fracture....Pages 263-277
Experiments on Damage and Failure Mechanisms in Ductile Metals at Different Loading Conditions....Pages 279-293
Modeling of Damage Deactivation in Concrete Under Cyclic Compression....Pages 295-306
Phase-Field Modelling of Damage and Fracture—Convergence and Local Mesh Refinement....Pages 307-324
Front Matter....Pages 325-325
Prestressed Orthotropic Material Containing an Elliptical Hole....Pages 327-336
Generalized Limit Surfaces—With an Example of Hard Foams....Pages 337-365
On the Problem of Cracking in 2-Phase Ceramic Matrix Composite Materials....Pages 367-378
Front Matter....Pages 325-325
On Failure Theories for Composite Materials....Pages 379-388
Front Matter....Pages 389-389
On the Dislocation Density Tensor in the Cosserat Theory of Elastic Shells....Pages 391-413
Direct Approach Versus Consistent Approximation....Pages 415-433
Modelling of a Rotating Active Thin-Walled Composite Beam System Subjected to High Electric Fields....Pages 435-455
On a Description of Deformable Junction in the Resultant Nonlinear Shell Theory....Pages 457-468
Analytical and Numerical Modelling of a Sub- and Supersonic Moving Load Front Along a Rod’s Skin....Pages 469-489
Front Matter....Pages 491-491
Application of Multi-scale Approaches to the Investigation of Sealing Surface Deformation for the Improvement of Leak Tightness in Pressure Relief Valves....Pages 493-522
Against the Fragmentation of Knowledge: The Power of Multidisciplinary Research for the Design of Metamaterials....Pages 523-545
On Equilibrium of a Second-Gradient Fluid Near Edges and Corner Points....Pages 547-556
Back Matter....Pages 557-558

✦ Subjects

Continuum Mechanics and Mechanics of Materials; Computational Science and Engineering; Characterization and Evaluation of Materials; Structural Mechanics; Structural Materials