Questions tagged [solid-mechanics]
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What does a mechanical Josephson Effect look like?
This question is related to my research work in physics concerning the brittle-ductile-transition (BDT) in solid state mechanics, which ended quite some time ago and is summarized in my thesis from ...
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Angular Velocity of 3D object rotating in space
For a sphere rotating about z axis, its angular velocity is rate of change of angle of a radius vector in xy plane with x axis or y axis. I understand this clearly. But consider a 3d body which is not ...
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What is the physical significance of Moment of Ineria about a point vs Moment of Inertia about an axis. In which types of problems we use the former?
I know the mathematical formula of both about an axis and a point. But where exactly we use moment of Inertia about a point. For 2d objects like discs rotating in its own plane, the moment of Inertia ...
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Why does the cross section of a metal after a hypervelocity impact look like that?
Look at this image of a cross section of a piece of (I assume) metal after a hypervelocity impact:
I understand where the crater shape comes from, but what puzzles me is the cavity near the bottom: ...
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Rigid body motion (RBM) transformation of interface points between a rigid and an elastic bodies
Above are pictures of a problem in mechanics. An elastic body occupying domain $\Omega$ is supported below with a fixed support and from above with a rigid body. The following calculations aim to ...
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Why lateral strain occurs when volume is not conserved on applying longitudinal stress?
I first thought that lateral strain occurs to conserve volume on applying longitudinal stress but later I realised that I was wrong. But now I have a confusion that why lateral strain occurs if volume ...
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Pushing solid objects by photon exchange
As I understood it,
the reason I cannot stick my hand through a metal block is due to the repelling force between electrons in my hand and in the block. QED depicts two electrons repelling with a ...
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Point load distribution inside elastic solid continuum medium in finite elements method
In finite elements method, when point load is applied to a particular node of elastic solid continuum medium (e.g. soil), does it affect nodal forces in the rest of the mesh (i.e. does each node ...
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Why is paper inelastic but flexible?
Recently I have been studying solid structural mechanics, and one of the points I find really confusing is how elasticity and flexibility are closely intertwined.
Consider an Euler-Bernoulli beam, for ...
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Computing Cauchy stress tensor in a static cube of uniform isotropic material
As the title says, I'm interested in explicitly calculating the value of the Cauchy stress tensor in a static (non-moving) cube of some material that has uniform density an is isotropic (e.g. concrete)...
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What's the difference between constitutive laws and equation of state?
While defining material properties in finite element modeling, when should we opt for constitutive models, such as Linear Elastic or Neohookean (that relate stresses and strains) over Equation of ...
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Problem in thermal stress equation
I came across this derivation of thermal stress where the strain is given as $\frac { l_0 \alpha t}{l_0}$.
However, I believe it should be $\frac { l_0 \alpha t}{l_0(1+\alpha t)}$ to consider the ...
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In-plane stresses on the surface of a cylinder
The three principal stresses on the surface of a cylinder are the hoop, $\sigma_\theta=\frac{pR}{d}$, longitudinal, $\sigma_z=\frac{pR}{2d}$, and radial, $\sigma_r=-p$, stresses. However, what are the ...
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Infinite deflection on axially compressed beam
With $k$ proportional to the square root of the compression force, an axially loaded (and otherwise unloaded) beam has a deflection following the DE
$$
\frac{\partial^4}{\partial x^4}z + k^2\frac{\...
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Would anyone be able to provide a reference for the equations concerning plane strain and incompressibility?
I've been trying really hard to find a textbook or research paper that mentions the equations I mentioned in my question. Sadly, I haven't had any luck so far. Would it be possible for someone to ...