Fundamentals of Micromechanics of Solids
By Jianmin Qu, M. Cherkaoui. 2006
512 citations recorded by the source corpus.
Subfields: Materials Chemistry, Mechanical Engineering, Mechanics of Materials
View Paper: https://www.semanticscholar.org/paper/3e796d26d969877042415b0555c67bf03cc66620
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In Materials Chemistry
In Mechanical Engineering
In Mechanics of Materials
Citations in the corpus
- Nonlinear vibration analysis of functionally graded beams considering the influences of the rotary inertia of the cross section and neutral surface position (2018, background): “(2) The average stress tensor over a representative volume element V are de ned as (Qu and Cherkaoui, 2006) σ = 1 V ∫ V σ̂ (x)dx; σ (i) = 1 Vi ∫ Vi σ̂ (i)(x)dx, (3) where σ̂ is the stress tensor at random over a representative volume element, σ is the overall volume average stress tensor of…”
- A micro–macro homogenization approach for discrete particle assembly – Cosserat continuum modeling of granular materials (2010, methodology): “We start from the derivation of the version of Hill’s lemma for the heterogeneous Cosserat medium, from which statically admissible stress boundary conditions and/or kinematically admissible displacement boundary conditions are deduced, in order to direct the proper prescription of boundary conditio”