# Questions tagged [solidmechanics]

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### Solid mechanics - traction boundary condition in the reference configuration

Both SolidBoundaryLoadValue or NeumannValue can be used to specify the traction boundary condition, because ...
• 135
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### SolidMechanicsStress returns, that the stress is equal to zero

I am trying to compute a deformation and a stress of a material with a custom material law. I have successfully computed the deformation using ...
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1 vote
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### It is possible to use a different stress tensor than Cauchy stress tensor when creating a custom material law?

I would like to use Mathematica to solve some solid mechanics problems, which will include an implementation of a different model than the ones that Mathematica offers. The way how to write custom ...
• 135
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### Solving system of nonlinear PDEs

My aim is to solve a system of nonlinear PDEs arising in nonlinear elasticity. I am new to Mathematica so I started by modifying this example. I tried to change it to neo-Hookean solid. The resulting ...
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### Why does SolidMechanicsStrain calculated inside a module give strange results?

Bug introduced in 13.0 and fixed in 13.1.0 I am exploring the FE capabilities of Mathematica and trying a few solid mechanics problems with the aim of bringing them into my teaching. The problem is a ...
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### Large deformation of solids

Link to notebook with this question and code I'd like to understand how large deformations of solid mechanics work and how they are implemented. For this am looking at the following reference problem: ...
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### FEM: elastic cylinder under circumferential pressure

Suppose you have an elastic cylinder of radius $R$ and height $H$ and you want to solve the mechanical 3D equilibrium with Mathematica's FEM. How do you impose a pressure $p$ only on the cylinder ...
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1 vote
106 views

### DSolve for deflection of an elastic beam

I have to write a notebook about comparing the results of the deflection of an elastic beam, calculated with discrete methods and FE methods. The code has to be generalized for any kind of beam ...
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### Stress Operators for Finite Element Analysis

For stress analysis in the finite element method you need a stress operator. For two dimensional plane stress it can be found here. For two dimensional plain strain it can be found here. I need the ...
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168 views

### How to improve quality of NeumannValue boundary conditions for stress calculations

When doing stress calculations forces are applied to a boundary of a region. Here I am applying the forces over an interval but the stress resolution is poor near the edge of the interval. Can this be ...
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240 views

### A Trial Boundary Element Approach to Solving Integral Equation

I am trying to numerically solve an integral equation in Starfield and Crouch textbook (Boundary Element Methods in Solid Mechanics: With Applications in Rock Mechanics and Geological Engineering), ...
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### Stress calculations in three dimensions (finite element method)

Calculation of stress in two dimensions is covered in this post by the helpful user21. I am now trying to work in three dimensions. For this we need a stress operator which I have taken from Help. <...
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### Stress calculations using finite elements

A standard engineering problem is to calculate stresses in a structure due to applied forces. With the inclusion of the finite element method in version 10 this question attempts to investigate how ...
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### Time evolution/dynamics of circular plate with hole (Biharmonic equation and stiffness)

On this Mathematica.SE form, there exists information on how to use Mathematica to demonstrate the vibration of a circular membrane and the deflection of an orifice plate (the latter I had raised ...
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### Swinging Beam example from Help. Not Understanding/Not Working

To help me understand finite element analysis with Mathematica I have been reading the Finite Element Method User Guide in Help and am stuck on the example in Coupled PDEs. Here there is a static beam ...
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### FEM: user material subroutines (UMAT in ABAQUS), mechanics

Just a quick question (mainly for those who are also familiar with ABAQUS or other comparable FEM programs and non-linear modelling of mechanical behavior, e.g., plasticity). Is there any module in ...
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