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Mechanics of strain gradient materials

Bertram, Albrecht.

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Mechanics of strain gradient materials

Record Type:	Electronic resources : Monograph/item
Title/Author:	Mechanics of strain gradient materials/ edited by Albrecht Bertram, Samuel Forest.
other author:	Bertram, Albrecht.
Published:	Cham :Springer International Publishing : : 2020.,
Description:	viii, 171 p. :ill., digital ;24 cm.
[NT 15003449]:	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.
Contained By:	Springer Nature eBook
Subject:	Materials - Mechanical properties. -
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. - Cham :Springer International Publishing :2020. - viii, 171 p. :ill., digital ;24 cm. - CISM international centre for mechanical sciences, Courses and lectures,v.6000254-1971 ;. - Courses and lectures ;v.600..

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:

601064
Materials
--Mechanical properties.

LC Class. No.: TA405 / .M43 2020

Dewey Class. No.: 620.11292

Mechanics of strain gradient materials
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245 0 0 $a Mechanics of strain gradient materials $h [electronic resource] / $c edited by Albrecht Bertram, Samuel Forest.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2020.
300 $a viii, 171 p. : $b ill., digital ; $c 24 cm.
490 1 $a CISM international centre for mechanical sciences, Courses and lectures, $x 0254-1971 ; $v v.600
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.
650 0 $a Materials $x Mechanical properties. $3 601064
650 1 4 $a Solid Mechanics. $3 3381524
650 2 4 $a Structural Materials. $3 898417
650 2 4 $a Materials Science, general. $3 927806
650 2 4 $a Computational Mathematics and Numerical Analysis. $3 891040
700 1 $a Bertram, Albrecht. $3 908333
700 1 $a Forest, Samuel. $3 2191540
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
830 0 $a Courses and lectures ; $v v.600. $3 3529993
856 4 0 $u https://doi.org/10.1007/978-3-030-43830-2
950 $a Engineering (SpringerNature-11647)