Mechanics of Strain Gradient Materials
Editors: Bertram, Albrecht, Forest, Samuel (Eds.)
Free Preview- 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
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- About this book
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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.
- Table of contents (6 chapters)
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The Experimental Evidence for Higher Gradient Theories
Pages 1-18
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Balance Laws for Gradient Materials
Pages 19-35
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Strain Gradient Elasticity From Capillarity to the Mechanics of Nano-objects
Pages 37-70
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Microscopic Interpretation of Strain-Gradient and Generalized Continuum Models
Pages 71-99
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Strain Gradient Plasticity: Theory and Implementation
Pages 101-149
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Table of contents (6 chapters)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Mechanics of Strain Gradient Materials
- Editors
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- Albrecht Bertram
- Samuel Forest
- Series Title
- CISM International Centre for Mechanical Sciences
- Series Volume
- 600
- Copyright
- 2020
- Publisher
- Springer International Publishing
- Copyright Holder
- CISM International Centre for Mechanical Sciences, Udine
- eBook ISBN
- 978-3-030-43830-2
- DOI
- 10.1007/978-3-030-43830-2
- Hardcover ISBN
- 978-3-030-43829-6
- Softcover ISBN
- 978-3-030-43832-6
- Series ISSN
- 0254-1971
- Edition Number
- 1
- Number of Pages
- VIII, 171
- Number of Illustrations
- 13 b/w illustrations, 39 illustrations in colour
- Topics
