Comprehensive mechanics of materials / editor-in-chief, Vadim Silberschmidt.

Format:

Book

Database & Article Index

Contributor:

Silberschmidt, Vadim, editor.

Language:

English

Subjects (All):

Materials--Mechanical properties.

Materials.

Physical Description:

1 online resource

Edition:

First edition.

Place of Publication:

Amsterdam, Netherlands : Elsevier, [2024]

Summary:

"Comprehensive Mechanics of Materials, Four Volume Set, provides a trove of practical information into the properties, performances, and applications of a vast array of commonly used materials. It equips readers with a clear understanding of the main mechanisms of deformation, damage, and fracture alongside methods to account for them in analysis, design, and optimization of components and structures. The book provides solutions to modern-day engineering problems, combining both a breadth and depth of coverage of advanced topics of mechanics of materials, including the latest types of materials, mechanical behaviors, mechanisms underpinning their deformation, damage, fracture behaviors, and more."-- Provided by publisher.

Contents:

Contents: Volume 1. Section 1: Fundamentals of mechanics of materials. Section 2: Mechanics of fracture and extreme states

Volume 2. Section 3: Experimental and computational mechanics of materials

Volume 3. Section 4: Mechanics of structural materials

Volume 4. Section 5: Mechanics of microstructured materials. Section 6: Mechanics of functional materials and biomaterials

e9780323906463v1_WEB

Cover

COMPREHENSIVE MECHANICS OF MATERIALS

CONTENTS OF VOLUME 1

EDITOR-IN-CHIEF BIOGRAPHY

LIST OF CONTRIBUTORS FOR VOLUME 1

Introduction to Mechanics of Materials

References

Homogenization of High Contrast Media-From Local Physics to Generalized Continua

Key Points

Introduction

Overview of Homogenization Method of Periodic Media

Contrasted Composites With Inner Resonance Effect

Strain-Gradient Model of Reinforced Media

Reticulated Media: Geometrical Contrast

The three transverse mechanisms of

Highly Contrasted Stratified Plates

Features of High-Contrast Stratified Plates

Contrasted Porous Media

Synthesis and Perspectives

Fundamentals of Peridynamics

Peridynamics

Numerical Implementation

Conclusions

Damage-Elasto-Plastic Spring for Micro-Structured Materials Derived With a Hemivariational Approach: Applied to Ultra...

Definition of the Action Functional and Damage and Plastic Kinematic Descriptors

Kinematic Restrictions of Motion

The Hemi-Variational Principle

The Elastic Internal and External Energies

The Dissipation Energy

Application of the Hemivariational Principle for the Equivalent UHPC Spring Model

Numerical Solution of the Equivalent Spring Model

Conclusion and Outlook

A Variational Approach to Address the Problem of Planar Nonlinear Beams

Nonlinear Shear-Deformable Planar Beams

Limit Cases

Generalization of Shear-Deformable Beam Models: A Higher-Order Shear Deformation Theory

Dynamics of Beams

Conclusion

Multi-Scale Approaches to Micro-Structured Materials Modeling

Mechanical Metamaterials

Granular and Particulate Media.

Biological Tissues

Conclusion and Outlooks

Fully Coupled Thermomechanical Modeling of Shape Memory Alloys: Further Applications to Analyze Fatigue, and...

One-Dimensional Model

Fatigue Analysis

Transformation-Induced Creep and Stress Relaxation

Finite Element Implementation

Further Developments to Address the Localization Phenomena

Acknowledgments

Appendix A

Appendix B

Appendix C

Linear Elastic Fracture Mechanics

Very High Cycle Fatigue (VHCF) of Materials: An Overview

VHCF Tests and Testing Equipment

VHCF Crack Formation Mechanisms

Design Against VHCF Failures: Statistical Modeling

Size-effect in VHCF

Very High Cycle Fatigue at Elevated Temperature

Challenges of High-Temperature Ultrasonic Fatigue Tests

Summary

Mechanics of Materials at High Temperature

Matrix Multiple Fracture of CMCs at High Temperature

Tensile Stress-Strain Behavior of CMCs at High Temperature

Creep-Fatigue Damage Evolution of CMCs at High Temperature

Cyclic-Fatigue Lifetime of CMCs at High Temperature

Deformation and Failure of Ductile and Brittle Solids in Extreme Dynamic Environments

Notation

Theory

Dynamic Tensile Failure: Spallation

Failure Mechanisms

Microstructure and Composition

Acknowledgment

Advanced Numerical Methods for Fracture Assessment

Modeling Features

Overview of Current Computational Methods

Selected Methods

Damage Mechanics for Quasi-Brittle Materials: Continuum and Lattice Descriptions

Key Points.

Introduction

Continuum Damage Mechanics Applied to Concrete

The Lattice Discrete Particle Model

Coarse Graining of Lattice Results and Comparison With a Damage Model

e9780323906463v2_WEB

CONTENTS OF VOLUME 2

LIST OF CONTRIBUTORS FOR VOLUME 2

Introduction to Experimental and Computational Mechanics of Materials

Introduction to the Volume

Concluding Remark

Comprehensive Full-Field Measurements via Digital Image Correlation

Introductory Remarks

Why Carry Out Experiments?

Integrated DIC

Raw DIC

Regularized DIC

Before Closing

Measuring the Mechanical Properties of Composites and the Factors Affecting Them

Basic Properties of Unidirectional Composites

Laminate Properties

Summary and Perspectives

Element-Based Simulation Technologies

Element-Based Discretisations

Non-Linear Finite Element Analysis

Interface Elements

The Partition-of-Unity Approach

Isogeometric Analysis

Damage Mechanics

Mesh Sensitivity

Cohesive-Zone Models

Plasticity

Concluding Remarks

Towards FDEM Based Hybrid Simulation Tools for AI Driven Virtual Experimentation in Science and Engineering

Glossary

FDEM Versus Finite Element Method

Some Mathematical Preliminaries

Material Law

Deformation Kinematics

Nodal Forces

Fluid Solid Interaction

A Smooth Contact Algorithm for the Combined Finite Discrete Element Method

Shell and Beam Elements

Fracture and Fragmentation in FDEM

Contact Detection in FDEM.

The Grand Challenge of Hardware and Parallelization in FDEM

Towards Virtual Experimentation and Artificial Intelligence

Meshfree Methods

Early Development

Galerkin Meshfree Methods

Collocation Meshfree Methods

Meshfree Approximation Functions

Approximations Based on Least-Squares Methods

Kernel Estimate

Reproducing Kernel Approximation

Discrete Reproducing Kernel Approximation

Implicit Gradients

Partition of Unity Methods

Smoothed Particle Hydrodynamics (SPH)

Discretization

Gradient Approximations

SPH for Solution of Conservation Equations

Basic Assumptions in SPH Equations

Accuracy of Discrete Equations and Corrected SPH

Equivalency of Corrected SPH and Other Meshfree Techniques

Stability of SPH

Reproducing Kernel Particle Method (RKPM)

Solving PDEs by the Galerkin Method

Large Deformation Analysis by Lagrangian Reproducing Kernel Approximation and Discretization

Large Deformation Analysis by Semi-Lagrangian Reproducing Kernel Approximation and Discretization

RKPM Smooth Contact Algorithm

RKPM Kernel Contact Algorithm

Peridynamics (PD)

Material Point Method (MPM)

Particle/Grid Transfers

Domain Integration in Galerkin Meshfree Methods

Stabilized Conforming Nodal Integration: First Order Galerkin Exactness

Variationally Consistent Integration: A Generalization of SCNI for Higher Order Galerkin Exactness

Stabilization of Nodal Integration

Application of Reproducing Kernel Particle Method

Application of Peridynamics

Application of Material Point Method

Conclusions and Outlook

Acknowledgement

Relevant Websites

Crystal Plasticity

Fundamentals

Kinematics

Constitutive Models.

Particularities of Relevant Crystal Structures

Single Crystal Solution Schemes

From Single- to Polycrystals

Transition to the Component Scale

Parameter Identification

Multi-Physics

Software Solutions

Summary and Outlook

Fast-Fourier Methods and Homogenization

Discretization Methods

Solution Methods

Selected Extensions

Conclusions and Possible Directions of Research

On Application of Probabilistic Relative Entropies in Homogenization of Fibrous Composites

Material Model and Homogenization

Probabilistic Approach and Relative Entropies

Computational Implementation

Numerical Experiments

Predictive Multiscale Paradigm for Computational Design Certification

Existing Certification Standards

Multiscale Modeling

Multiscale Methods - A Bedrock of Computational Certification

Challenges in Multiscale Modeling

Uncertainty

Uncertainty representation

Model errors

Complexity

Classification of Multiscale Methods

Upscaling-Based Multiscale Methods

Math-based (homogenization) upscaling methods

Physics-based upscaling methods

Methods enhancing computational efficiency of upscaling methods

Resolved-Scale Methods

Domain decomposition methods

Multigrid methods

Hierarchical methods

Multiple Temporal Scales

Data Generation and Image-Based Modeling

Data generation and Markov decision process

Generative AI for data supplementation

Artificial intelligence and machine learning

Model-free data-driven upscaling methods

Surrogate data-driven methods

Black-box surrogate modeling

Interpretable surrogate modeling.

Statistical Context for Multiscale Certification.

Notes:

Title from online title page (viewed on June 25, 2025).

Includes bibliographical references and index.

ISBN:

9780323906470

0323906478

OCLC:

1433097675

Access Restriction:

Restricted for use by site license.