Naumenko K., Aßmus M. (eds.) Advanced Methods of Continuum Mechanics for Materials and Structures

Springer Science+Business Media, Singapore, 2016. – 578 p. – ISBN10: 9811009589.
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.Fundamentals and Elasticity.
Time Derivatives in Material and Spatial Description—What Are the Differences and Why Do They Concern Us?
The Cosserats’ Memoir of 1896 on Elasticity.
On Equivalent Inhomogeneities for Particles with Multiple-Component Interphases.
The Influence of Distributed Dislocations on Large Deformations of an Elastic Sphere.
Visco-Elastic Media and Coupled Phenomena.
A Closed-Form Solution for a Linear Viscoelastic Self-gravitating Sphere.
Constitutive Modelling of the Glass Transition and Related Phenomena: Relaxation of Shear Stress Under Pressure.
A Material Model for Electroactive Polymers.
Thermo-Elasto-Plasticity.
Finite Elastoplasticity with Thermal Effects—Some Unexpected Phenomena.
Crystal-Plasticity Simulation of Micromachining of Single-Crystal Metal: Methodology and Analysis.
Warpage Variation Analysis of Si/Solder/Cu Layered Plates Subjected to Cyclic Thermal Loading.
A Note on Plasticity with Additional Internal Variables.
Finite Inelastic Deformations of Compressible Soft Solids with the Mullins Effect.
Effect of Geometric Dimension on the Dissipative Property of the Structures Consisting of NiTi Shape Memory Alloy Wires.
Continuum Damage and Phase Fields.
A Discussion on Gradient Damage and Phase-Field Models for Brittle Fracture.
Experiments on Damage and Failure Mechanisms in Ductile Metals at Different Loading Conditions.
Modeling of Damage Deactivation in Concrete Under Cyclic Compression.
Phase-Field Modelling of Damage and Fracture—Convergence and Local Mesh Refinement.
Fracture Mechanics and Failure Criteria.
Prestressed Orthotropic Material Containing an Elliptical Hole.
Generalized Limit Surfaces—With an Example of Hard Foams.
On the Problem of Cracking in 2-Phase Ceramic Matrix Composite Materials.
On Failure Theories for Composite Materials.
Rods, Plates and Shells.
On the Dislocation Density Tensor in the Cosserat Theory of Elastic Shells.
Direct Approach Versus Consistent Approximation.
Modelling of a Rotating Active Thin-Walled Composite Beam System Subjected to High Electric Fields.
On a Description of Deformable Junction in the Resultant Nonlinear Shell Theory.
Analytical and Numerical Modelling of a Sub- and Supersonic Moving Load Front Along a Rod’s Skin.
Generalized Continua, Multi-Scales and Meta-Materials.
Application of Multi-scale Approaches to the Investigation of Sealing Surface Deformation for the Improvement of Leak Tightness in Pressure Relief Valves.
Against the Fragmentation of Knowledge: The Power of Multidisciplinary Research for the Design of Metamaterials.
On Equilibrium of a Second-Gradient Fluid Near Edges and Corner Points.