Questions tagged [elasticity]

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Partition of unity in FEM with bubble functions

In FEM with bubble functions, the field ($\boldsymbol{u}$) is approximated as a linear combination of the standard one ($\tilde{\boldsymbol{u}}$) plus the bubble field ($\boldsymbol{u}^b$). That is, \...
  • 810
0 votes
1 answer
69 views

Calculate strains based on X,Y Deformation gradient with time

Recently I have obtained a csv value form and experiment I have computed. However, I was trying to understand how each individual component being calculated. The image attached shows sample point ...
1 vote
0 answers
84 views

bingham plastic model implementation

I'm looking for a book/paper/code which describes the implementation of a Bingham plastic fluid model. I've tried deriving the equations for implementation using the style of the 1d visco-plastic ...
  • 609
1 vote
0 answers
69 views

Stretched Elastic Sheet with Horizontal Cut in Interior

Given a rectangular finite elastic sheet $ABCD$ containing an arbitrary horizontal cut (or discontinuity) $EF$ in its interior. The edge $AB$ of the sheet is tethered but $CD$ is stretched by $\Delta$ ...
  • 215
1 vote
1 answer
74 views

Building blocks for solving a vector valued problem

This question is a follow-up of this previous one. I decided to solve the linear elasticity \begin{cases}- \nabla \sigma(u)=f \\ u=0 \text{ on } \partial \Omega\end{cases} with P1 Lagrangian finite ...
10 votes
2 answers
546 views

FEM for vector valued problems: reference request

I'm a PhD working in a computational mechanics lab. I come from a Math department, and I have a good background for what concerns the basics of finite elements, like inf-sup conditions, DG, non-...
0 votes
1 answer
257 views

deal.ii - ParaView "warp by scalar" of my output is not continuous

During our finite element course, we've solved the linear elasticity problem in 2D on a square (GridGenerator::hyper_cube) with $Q_1$ bilinear finite elements in ...
  • 181
0 votes
1 answer
93 views

Displacement field not correct?

Consider the elastic equation $$- \operatorname{div}(C \nabla \mathbf{u}) = \mathbf{f}$$ as presented in step-8. Here $\mathbf{u}$ is the displacement vector, let's consider the 2d case. As you can ...
  • 181
1 vote
1 answer
231 views

Confusion about bilinear form for elasticity equation in deal.ii tutorial

I'm learning how to solve vector-valued problems with deal.II library. In particular, I'm looking at the following introduction from the official website https://www.dealii.org/current/doxygen/deal.II/...
  • 181
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0 answers
62 views

Output solution vector in Petsc

I am using petsc to solve a linear elasticity problem discretized by finite elements.The initial mesh is read by a mesh file and the distribution in each processor is done using METIS.I am using only ...
  • 21
5 votes
1 answer
163 views

trilinear hex elements

Do the faces of tri-linear hex elements have to be planar? Three nodes define a plane. If the fourth node does not lie on the plane, then the nodes are not planar and the face is not plane. In general,...
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