Inspection of free energy functions in gradient crystal plasticity

The dislocation density tensor computed as the cud of plastic distortion is regarded as a new constitutive variable in crystal plasticity. The dependence of the free energy function on the dislocation density tensor is explored starting from a quadratic ansatz. Rank one and logarithmic dependencies...

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Bibliographic Details
Published in:Acta mechanica Sinica 2013-12, Vol.29 (6), p.763-772
Main Authors: est, Samuel, Gueninchault, Nicolas
Format: Article
Language:English
Subjects:
Classical and Continuum Physics
Computational Intelligence
Crystals
Dislocation density
Engineering
Engineering Fluid Dynamics
Engineering Sciences
Free energy
Laminates
Materials
Mathematical analysis
Mathematical models
Plasticity
Research Paper
Tensors
Theoretical and Applied Mechanics
位错密度
功能检查
单晶材料
塑性变形
晶体塑性
梯度
统计理论
自由能函数
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Summary:The dislocation density tensor computed as the cud of plastic distortion is regarded as a new constitutive variable in crystal plasticity. The dependence of the free energy function on the dislocation density tensor is explored starting from a quadratic ansatz. Rank one and logarithmic dependencies are then envisaged based on considerations from the statistical theory of dislocations. The rele- vance of the presented free energy potentials is evaluated from the corresponding analytical solutions of the periodic two-phase laminate problem under shear where one layer is a single crystal material undergoing single slip and the second one remains purely elastic.
ISSN:0567-7718
1614-3116
DOI:10.1007/s10409-013-0088-0