Mechanics of Strain Gradient Materials

Mechanics of Strain Gradient Materials
Author :
Publisher : Springer Nature
Total Pages : 177
Release :
ISBN-10 : 9783030438302
ISBN-13 : 3030438309
Rating : 4/5 (309 Downloads)

Book Synopsis Mechanics of Strain Gradient Materials by : Albrecht Bertram

Download or read book Mechanics of Strain Gradient Materials written by Albrecht Bertram and published by Springer Nature. This book was released on 2020-06-30 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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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