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Results tagged with solid-mechanics
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user 36539
Studies the behavior of solid materials, and deformation under the action of forces
4
votes
Second Piola-Kirchoff Stress Tensor of Neo-Hookean solid at "zero deformation"
From an old set of notes, I think that since your material is incompressible, the stress is determined by the strain energy density function $W$ only upto the hydrostatic pressure. The Cauchy stress i …
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3
votes
Accepted
Estimating forces on a model from the displacements of nodes
Indeed, as @whpowell96 says, we can use optimization. Let us assume, for simplicity that your problem is governed by the equations of linear elasticity. Let us assume that you have displacement data ( …
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3
votes
How to calculate the deformation gradient between two configurations of material points?
I think you need an underlying displacement field. In your problem statement, the displacement field is not specified. I would do it the following way. The deformation gradient is given by
$$
F_{ij} = …
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2
votes
How to determine global stiffness matrix is constrained or not
As you said,
"If displacement not be constrained, equation above can not be solved,
because the system can have rigid body motion"
So you should try to apply constraints that will not allow the body …
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2
votes
Accepted
Determination of the domain of nonlinearity in a Neo-Hook solid model (Finite elements)
Since your $\lambda_{11}$ is close to unity, it means that your response will be close to linear, because your strain is small. You have not provided enough strain for the non-linearity to kick-in.
I …
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1
vote
Why would finite deformation theory be necessary in an updated Lagrangian formulation?
Good question. Not sure I have a definitive answer for you, but, a couple of things come to mind.
Boundary conditions might be specified in the reference configuration, so you'd have to use large def …
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0
votes
How are the classical set of equilibrium equations for linear elasticity derived?
You can find a discussion in AF Bower's book.
Applied Mechanics of Solids
1st Edition
ISBN-13: 978-1439802472, ISBN-10: 1439802475
The book is available online at AF Bower's website
http://solidmechan …
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