Editors:
- 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
Part of the book series: CISM International Centre for Mechanical Sciences (CISM, volume 600)
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Table of contents (6 chapters)
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Front Matter
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Back Matter
About this book
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.
Editors and Affiliations
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Otto-von-Guericke-University Magdeburg, Magdeburg, Germany
Albrecht Bertram
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CNRS, MINES ParisTech, Évry, France
Samuel Forest
Bibliographic Information
Book Title: Mechanics of Strain Gradient Materials
Editors: Albrecht Bertram, Samuel Forest
Series Title: CISM International Centre for Mechanical Sciences
DOI: https://doi.org/10.1007/978-3-030-43830-2
Publisher: Springer Cham
eBook Packages: Engineering, Engineering (R0)
Copyright Information: CISM International Centre for Mechanical Sciences, Udine 2020
Hardcover ISBN: 978-3-030-43829-6Published: 01 July 2020
Softcover ISBN: 978-3-030-43832-6Published: 01 July 2021
eBook ISBN: 978-3-030-43830-2Published: 30 June 2020
Series ISSN: 0254-1971
Series E-ISSN: 2309-3706
Edition Number: 1
Number of Pages: VIII, 171
Number of Illustrations: 13 b/w illustrations, 39 illustrations in colour
Topics: Solid Mechanics, Structural Materials, Materials Science, general, Computational Mathematics and Numerical Analysis