Mechanics of Strain Gradient Materials

Released on by Albrecht Bertram
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  • Mechanics of Strain Gradient Materials Book Detail

  • Author : Albrecht Bertram
  • Release Date : 2020-06-30
  • Publisher : Springer Nature
  • Genre : Science
  • Pages : 177
  • ISBN 13 : 3030438309
  • File Size : 15,15 MB
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Mechanics of Strain Gradient Materials by Albrecht Bertram PDF Summary

Book Description: 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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Mechanics of Strain Gradient Materials

Mechanics of Strain Gradient Materials

File Size : 92,92 MB
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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

Compendium on Gradient Materials

Compendium on Gradient Materials

File Size : 20,20 MB
Total View : 1421 Views
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This book offers frameworks for the material modeling of gradient materials both for finite and small deformations within elasticity, plasticity, viscosity, and