Advanced Methods of Continuum Mechanics for Materials and Structures

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