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Mechanics of Strain Gradient Materials: CISM International Centre for Mechanical Sciences, cartea 600

Editat de Albrecht Bertram, Samuel Forest
en Limba Engleză Paperback – iul 2021
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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Specificații

ISBN-13: 9783030438326
ISBN-10: 3030438325
Ilustrații: VIII, 171 p. 52 illus., 39 illus. in color.
Dimensiuni: 155 x 235 mm
Greutate: 0.26 kg
Ediția:1st ed. 2020
Editura: Springer International Publishing
Colecția Springer
Seria CISM International Centre for Mechanical Sciences

Locul publicării:Cham, Switzerland

Cuprins

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.

Textul de pe ultima copertă

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.

Caracteristici

Focuses on gradient materials: a promising new field in the mechanics of materials and structures Explores various aspects of gradient materials (plasticity, damage mechanics, fracture mechanics, crystal plasticity, regularization, homogenization, ...) that are of interest for engineering purposes Written by leading experts in the field