# Questions tagged [solid-mechanics]

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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)...
64 views

### 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 ...
80 views

### 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 ...
1 vote
39 views

### 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 ...
1 vote
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1 vote
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### Continuum mechanics cauchy stress

I have a question regarding the stress tensors. In a publication I found the following definition: I havnt seen this equation before, and I am wondering how to get there. T is the Cauchy stress, Je ...
210 views

### When is the equation $\vec{L}=I\vec{\omega}$ not valid?

When is the equation $\vec{L}=I\vec{\omega}$ not valid? Let me clarify, I've encountered a few problems where the angular momentum you obtained by integrating and the angular momentum you'd obtain by ... 1 vote
90 views

### Do forces act on points or areas?

In a lot of situations we are taught about forces acting on points on solid objects (torque, point particles), and in other cases (axial stresses) we consider them as acting on an 'area', is this ...
29 views

### Cyclic values inside stress tensor in given configuration

i have majored in mechanical engineering and implemented a fully working FEM-Solver for structural mechanical problems for 2 and 3-dimensional problems. I have lately been working on bringing this to ...
213 views

### What are the effects of Bravais lattices classification differences in 2D space on the physical properties of the crystals?

There are five possible distinct Bravais lattices in two-dimensional space. For example, if crystal A is Monoclinic (M) and crystal B is Hexagonal (H), how will the difference in their 2D Bravais ...
1 vote
97 views

### Movement of a rod submitted to a shifted torque

Suppose I have a rod of mass m initially at rest, for which a torque (F1, F2) is applied at the right side during a brief time $\Delta t$, as in the schema below. The rod is not fixed to anything and ...
1 vote
46 views

### What is the function of air cavity in drums?

I'm trying to understand the function of the air cavity inside drums. I've read that 'The air cavity inside the drum will have a set of resonance frequencies determined by its shape and size. This ...
424 views

### Is charge carrier density an intrinsic property of a material and is thus constant?

I was studying the equation $$I = nAvq$$ where $n$ = the charge carrier density, $A$ = cross-sectional area of the conductor, $v$ = mean drift velocity of the charge carriers, and $q$ = the charge on ...
1 vote
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### Can there be strain without stress (e.g. Thermal Expansion)?

In here The solution says that strain is 0 in thermal expansion? Doesn't this sound weird and contradictiory? by taking two infinitesimally closer points the stress could be zero but in a article of ...