# Questions tagged [stress-strain]

The tag has no usage guidance.

522 questions
Filter by
Sorted by
Tagged with
16 views

### Force acting on a cube on all sides [closed]

A metallic cube of length L is stretched out uniformly by force F normal to each of its faces. Given Young's modulus and Poisson ratio, what is the deformation in the cube?
19 views

112 views

### How to calculate the total strain-energy for a deformation from a sphere to a cube?

Is there an analytical solution to compute the elastic energy cost to deform an incompressible sphere into a cube ? Or at least a scaling law ? Let's assume we would do it with a compressive stress ...
39 views

### Why does integrability imply compatibility?

In mechanics, we have the so called compatibility conditions, which quarantee that when a body deforms, the strains are "compatible" in such a way to no discontinuities or gaps for inside the body as ...
1k views

### Can we change the volume of a wire by applying force on it in order to stretch it, if yes is there any way to calculate it?

Can we change the volume of a wire by applying force on it in order to stretch it, if yes is there any way to calculate it ??
27 views

### Why don't we consider the reduce cross-sectional area while calculating stress in a metallic wire?

Consider a wire which is being pulled by a force (within elastic limit) then the reaction force will be equal to the applied force then we say that the stress will be equal to applied force/cross-...
101 views

### Pressure needed to compress iron to double the density? [closed]

What is the pressure needed to compress iron to twice its density? (with "its density" meaning solid iron at room temperature and atmospheric pressure, reference 7.874 g/cmĀ³ from Google. )
89 views

### Solid discs and coeff. thermal expansion mismatch

Consider a solid disc of radius $R$ and height $h$ which we glue onto an infinite plane surface. If we now change the temperatur and the assume that the (linear) thermal expansion coefficient of the ...
38 views

### What does elasticity with torque and twist depending on normal strain and normal stress look like?

A twisted rope has a relation between normal stress, along the rope, and twist of the rope. If a rope is twisted more it becomes shorter. If it is untwisted it becomes longer. Likewise for coils and ...
135 views

### Why can we assume long structural members to be in plane strain?

In plane strain, the strain in one direction is assumed to be zero. It is taught that if we have a structural member that is very long in one direction compared to the others, the strain in the long ...
77 views

### Hydrostatic stress and principal stress relation and Eigenvalue calculation

Why does the Eigenvalue in a Stress matrix calculate out to be $$\sigma = \dfrac{1}{3}\text{tr}(\hat{\sigma}).$$ I pretty much understand why Eigenvalues of a Stress matrix equals principal stress, ...
155 views

### Why should the bulk modulus of a perfectly rigid body be infinite?

Also, what can we say about the Young's modulus and Shear Modulus of a perfectly rigid body and why?
232 views

### How does stretching of a coil involves shearing stress?

My book has this true/false question $$\pmb {Question}$$ The stretching of a coil is determined by its sheer modulus. $$\pmb {Answer}$$ True But I am not able to comprehend as how does ...
76 views

### Calculate tire stress [closed]

I'm trying to figure out how much stress is experienced by a tire while driving. Each tire can carry a maximum amount of weight, for a tire of 98kg this is 750kg per tire. A Tesla Model 3 weighs in at ...
21 views

### Decomposition of Stress Components

When we are separating the stress matrix into two,mainly into hydrostatic and deviatoric the diagonal elements are the one which are only supposed to be affected then why are we writing a prime symbol ...
103 views

### Stress tensor and second invariant

While calculating yield stress in case of Von Mises and Tresca and proving that Von Mises in 15% above Tresca they assumed uniaixial loading while applying distortion energy theorem and pure shear in ...
57 views

### Is there a pictorial geometric interpretation of the Saint-Venant compatibility equations?

Is there a pictorial geometric interpretation of the Saint-Venant compatibility equations? Other than being a pretty system of equations possessing many symmetries, they don't mean much to me. The ...
41 views

### Deformation and strain tensor

While reading books of continuum mechanics I noticed that authors call some tensors deformation tensors and other strain tensors. My doubt is: why is right and left Cauchy-Green tensors commonly ...
204 views

### Is stress dependent on strain?

Stress-strain curves are drawn with strain on X-axis and stress on Y-axis. Usually the quantities placed on X-axis are independent quantities whereas the one placed on Y-axis are dependent. So which ...
33 views

### Total stress and total strain in thermoelasticity

For a solid undergoing thermoelastic deformation, we can write the total stress as $$\sigma_{total} = \sigma_{mechanical} - \sigma_{thermal}$$ Where  \sigma_{mechanical} = C:\epsilon_{mechanical} ...
Here's the question: There are 2 rods placed between rigid supports. Where $Y_{i}, \alpha_{i}$ and $A_{i}$ are the Young's Modulus, Coefficient of linear expansion and Cross sectional area of the ...