Shape and Shape Changes in Mechanics : The Mechanical and Thermal Gradient Theories / by Michel Frémond.

Format:

Book

Author/Creator:

émond, Michel.

Series:

Springer Series in Solid and Structural Mechanics, 2195-352X ; 15

Language:

English

Subjects (All):

Mechanics, Applied.

Mechanics.

Building materials.

Engineering Mechanics.

Classical Mechanics.

Structural Materials.

Local Subjects:

Engineering Mechanics.

Classical Mechanics.

Structural Materials.

Physical Description:

1 online resource (562 pages)

Edition:

1st ed. 2025.

Place of Publication:

Cham : Springer Nature Switzerland : Imprint: Springer, 2025.

Summary:

This book provides an innovative description of motion with large deformations and the possibility of defects and dislocations. The theory is based on the stretch and angular matrices of the polar decomposition allowing convex potentials. Third-order gradient theories are required to account for mechanical everyday experiments, for instance assemblies of solid structures with different spatial dimensions. Second-order gradient theories are required for thermal experiments. Using the principle of virtual power and new convex potentials, the position of either solid or fluid structures together with the matrix accounting for the defects and dislocations is computed. Defects and dislocations are present in case an internal stress is large enough. Engineers and scientists active in solid and fluid engineering, mathematics, and numerics should be aware of this predictive theory. Damage, shape memory alloys, Cosserat materials, and surface tension are investigated in this framework.

Contents:

Introduction

An Example A Point Table System

A Soccer Ball Soccer Field System

The Motion of a Continuum Medium

The Change in Shape.

Notes:

Description based on publisher supplied metadata and other sources.

Other Format:

Print version: émond, Michel Shape and Shape Changes in Mechanics

ISBN:

9783031759154

OCLC:

1519985634