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Mechanics of Strain Gradient Materials

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Mechanics of Strain Gradient Materials/ edited by Albrecht Bertram, Samuel Forest.
other author:	Bertram, Albrecht.
Description:	VIII, 171 p. 52 illus., 39 illus. in color.online resource. :
Contained By:	Springer Nature eBook
Subject:	Solid Mechanics. -
Online resource:	https://doi.org/10.1007/978-3-030-43830-2
ISBN:	9783030438302

Mechanics of Strain Gradient Materials
Mechanics of Strain Gradient Materials[electronic resource] /edited by Albrecht Bertram, Samuel Forest. - 1st ed. 2020. - VIII, 171 p. 52 illus., 39 illus. in color.online resource. - CISM International Centre for Mechanical Sciences, Courses and Lectures,6000254-1971 ;. - CISM International Centre for Mechanical Sciences, Courses and Lectures,559.

The Experimental Evidence for Higher Gradient Theories -- Balance Laws for Gradient Materials -- Strain Gradient Elasticity: From Capillarity to the Mechanics of Nano-Objects -- Microscopic interpretation of strain-gradient and generalized continuum models -- Strain Gradient Plasticity: Theory and Implementation -- Finite Gradient Elasticity and Plasticity.

Over the past 50 years, strain gradient material theories have been developed for the continuum modeling of size effects in materials and structures in terms of their elasticity, plasticity and fracturing. This book puts forward a unifying perspective to combine existing theories involving the higher order gradient of the strain tensor, or of plastic strain. It begins by reviewing experimental findings on the existence (or non-existence) of size effects on the mechanics of materials. In turn, the book devises first, second and higher order strain gradient theories from general principles, and presents constitutive frameworks that satisfy thermodynamic requirements. The special case of strain gradient plasticity is then developed and illustrated via computational analyses of size effects on the plasticity of metals at small scales. In closing, the book explains the origin of gradient effects in the case of lattice structures by drawing on homogenization theory.

ISBN: 9783030438302

Standard No.: 10.1007/978-3-030-43830-2doiSubjects--Topical Terms:

1211586
Solid Mechanics.

LC Class. No.: TA349-359

Dewey Class. No.: 531

Mechanics of Strain Gradient Materials
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505 0 $a The Experimental Evidence for Higher Gradient Theories -- Balance Laws for Gradient Materials -- Strain Gradient Elasticity: From Capillarity to the Mechanics of Nano-Objects -- Microscopic interpretation of strain-gradient and generalized continuum models -- Strain Gradient Plasticity: Theory and Implementation -- Finite Gradient Elasticity and Plasticity.
520 $a Over the past 50 years, strain gradient material theories have been developed for the continuum modeling of size effects in materials and structures in terms of their elasticity, plasticity and fracturing. This book puts forward a unifying perspective to combine existing theories involving the higher order gradient of the strain tensor, or of plastic strain. It begins by reviewing experimental findings on the existence (or non-existence) of size effects on the mechanics of materials. In turn, the book devises first, second and higher order strain gradient theories from general principles, and presents constitutive frameworks that satisfy thermodynamic requirements. The special case of strain gradient plasticity is then developed and illustrated via computational analyses of size effects on the plasticity of metals at small scales. In closing, the book explains the origin of gradient effects in the case of lattice structures by drawing on homogenization theory.
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