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finite deformation

Amit Acharya's picture

Stress of a spatially uniform dislocation density field

It can be shown that the stress produced by a spatially uniform dislocation density field in a body comprising a linear elastic material under no loads vanishes. We prove that the same result does not hold in general in the geometrically nonlinear case. This problem of mechanics establishes the purely geometrical result that the curl of a sufficiently smooth two-dimensional rotation field cannot be a non-vanishing constant on a domain.

Mechanics of Cosserat Media

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We are trying to find out the work conjugate strain (and wryness) measures to T and M (stess and couple stress) and we know that in classical theory the conjugate strain measure is identified using the stress power, which appears in the power balance equation derived taking the inner product of the equation of motion with velocity. Please refer to the attached pdf for details.

1.  Given the equations of motion of Cosserat media (Eq 1 and 2 in attached pdf) how do we extend the procedure of calculating the stress power for Cosserat media?

Online finite element analysis of nanoindentation (indentation)

Dear All, 

 

We (the NanoBIO Node at Illinois ) have a preliminary release of an online finite element analysis of nanoindentation (indentation) tool using FEAP

This preliminary release is limited to linear elastic material, axisymmetric geometry, spherical rigid indenter, and various boundary conditions. 

Zhigang Suo's picture

Elastocapillarity

These notes are part of a course on advanced elasticity.  The notes recall several phenomena where both elasticity and surface energy are significant, including

  • Griffith crack
  • Adhesion of flexible structures
  • Wafer bonding
  • Contraction of a soft elastic sheet 

The notes also contain a formulation of combined surface energy and elasticity of finite deformation.  

German French Summer School 2012 - Hardening and Damage of Materials under Finite Deformations

Dear all,

We are pleased to announce the forthcoming Summer
School on “Hardening and Damage of Materials under Finite Deformations:
Constitutive Modeling and Numerical Implementation
”, which will take place in
Dortmund, Germany from September 3rd to 7th, 2012 and is organized by Prof.
Dr.-Ing. A. Erman Tekkaya of TU Dortmund and Dr. Tudor Balan of LEM3,
ENSAM Metz.

German French Summer School 2012 - Hardening and Damage of Materials under Finite Deformations

Dear all,

We are pleased to announce the forthcoming Summer
School on “Hardening and Damage of Materials under Finite Deformations:
Constitutive Modeling and Numerical Implementation
”, which will take place in
Dortmund, Germany from September 3rd to 7th, 2012 and is organized by Prof.
Dr.-Ing. A. Erman Tekkaya of TU Dortmund and Dr. Tudor Balan of LEM3,
ENSAM Metz.

Amit Pandey's picture

Evoution of Yield surfaces: Past and Future Trend - Part 1

It is essential to know the amount of springback for a given forming process, so that the process or the design of the tool can be modified to obtain the desired product shape. This requires a comprehensive understanding of loading and unloading processes, and determination of elastic constants with finite plastic deformation which, in turn, require precise determination of subsequent yield surfaces.

Justin C. Mach's picture

Continuity in the Plastic Strain Rate and its Influence on Texture Evolution

Classical plasticity models evolve state variables in a spatially independent manner through (local) ordinary differen- 

tial equations, such as in the update of the rotation field in crystal plasticity. A continuity condition is derived for the 

lattice rotation field from a conservation law for Burgers vector content—a consequence of an averaged field theory 

of dislocation mechanics. This results in a nonlocal evolution equation for the lattice rotation field. The continuity 

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