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Deformation Gradient from a deformed mesh - 4 node solid elements

Submitted by pateljay26 on Thu, 12/17/2015 - 20:34

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Deformation gradient

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Hello,

I have a 2D mesh that has 4 node solid elements. I am aware that to determine the components of deformation gradient tensor F, I will require displacement functions, u(x,y) and v(x,y) in a current configuration. Taking a partial derivative with respect to x and y respectively yields components of def. gradient tensor F.

2nd Call for Abstracts: USNCCM13 Minisymposium 414 on Recent Advances in Mesh Adaptivity for Inelasticity, Damage, Crack Propagation and Failure.

Submitted by Alejandro Mota on Tue, 02/03/2015 - 23:38

In this minisymposium we seek to highlight challenging problems in computational solid mechanics that require mesh adaptation methods for their solution. We focus on the finite element method and works that address large deformations and the accompanying inelasticity, damage, crack propagation and failure. Discussion will center on Lagrangian descriptions and determining the necessary computational components to resolve, preserve, and evolve the fields that govern these processes. Prototypical material systems may include, but are not limited to, ductile metals and biomaterials.