# Questions tagged [solid-mechanics]

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### Deflection of a composite beam of two materials

When I encounter a single cantilever beam with a uniform load, I know what to do. When I know the uniform load, I can calculate the deflection of the end of the cantilever beam. Now, I have a ...
135 views

### Rotating solid element

Sorry for boring you, my friends. Recently, I am haunted by a stupid question. It is probably a physics course question rather than a technique one. Finite element method is now a very popular tool ...
78 views

### Can displacement, stress, and strain fields be piece-wise twice differentiable?

I have an elasticity problem where the stress field is smooth everywhere except at two isolated points. QUESTION: To have a well-posed elasticity or solid mechanics problem, can the displacement, ...
589 views

### What is elastic thickness?

I read the article about Flexural rigidity, it says Flexural rigidity of plates is defined as $D=\dfrac{Eh_e^3}{12(1-\nu^2)}$ and $E$ is the young's modulus, $\nu$ is poisson's ratio. And I can't find ...
276 views

### where does deformation take place in a shaft subjected to a torsion?

If we rotate a shaft about an axis it is said to be under torsion. It is also said that there will be a deformation. What I'd like to know is will the shaft actually WARP during the process? If not ...
781 views

### Solid Mechanics book recommendations

I'm searching for a book on Solid Mechanics that explains the topics intuitively (similar to Kline explanations on Calculus: An Intuitive and Physical Approach). Also the book should have the ...
1k views

### Understanding incompressibility in continuum plasticity

I am a beginner in continuum plasticity and wondering physical meaning of incompressibility in continuum plasticity. Referring to MIT OCW link the consequence of incompressibility condition is (eq ...
1k views

### What is physics of Collision between solid and liquid (or gas)? [closed]

My mind has been busy recently by this question: What is physics of Collision between solid and liquid (or gas)? What is Conservation law's of such Collision? Why, when we drop a solid object in ...
232 views

### Does 'maximum principal stress fracture criteria' only apply in tensile loading?

I'm working on 3d simulation of solid fracture, primarily for graphics applications. I have one question about the Rankine fracture criteria, which is widely used in the computer graphics community. ...
432 views

### Deformation due to isostatic compression

When loading a solid material in the shape of a cylinder in isostatic compression, what is the relationship for the change in length versus change in diameter? For example. If I know that when I ...
491 views

### Why are momentum balance equations formulated in terms of net stress rather than net force?

In engineering, a steady state equilibrium force balance is typically expressed as $$\nabla\cdot \sigma=0$$ where $\sigma$ is the stress (force per unit area) applied at a point. It seems more ...
228 views

### what to use for mass in a 2D FEM simulation

I am trying to find the energy of a wave travelling through a solid material in a 2D Finite Element Method (FEM) - Simulation. As a general approach I would try to use $E_{kin}=\frac{1}{2}mv^2$ at ...
5 views

### Solid material thermophysical properties database

Can anyone suggest me a reliable source for solid material (isotropic/anisotropic) thermophysical properties database ? Thanks
22 views

### Find a reference frame for a straight line rigid system

A body reference frame is a reference frame moving with a rigid body. So any rigid system has at least two points $P$ and $Q$ and these are such that $$\vec{QP}\,\cdot\,\vec{QP}=\text{constant}$$ by ...
92 views

### Bouncing capsule (ellipsoid) can have COR (coefficient of restitution) higher than 1?

So I originally saw the problem in last year's IYPT. (#15 https://www.iypt.org/problems/problems-for-the-34th-iypt-2021/) A spherical ball dropped onto a hard surface will never rebound to the ...
31 views

### Superposition for deformation of a bar

I had a question on applying the superposition principle for a bar subjected to an external load and a temperature change. According to Wikipedia, "for all linear systems, the net response caused ...
14 views

### Slip boundary conditions for solid-solid interactions?

If the no-slip conditions are mostly considered for fluid-solid interactions, so what about solid-solid? Apart from the slip (zero-normal velocity) conditions, are there another consideration that we ...
9 views

### Principal Stresses in large deformation

Do you know if the principal stresses are invariant to the true (Cauchy) stress and undeformed (2nd Piola-Kirchoff) stress? I mean should i use always cauchy even the body deformations are significant?...
57 views

### Calculating bond energy per molecule [closed]

I'm currently going through a book on material science, a field of which I have little background knowledge. One of the questions asks me to calculate the bond energy per molecule when given the ...
24 views

### Is bending stiffness reduction a good model for beam wear and tear?

I'm working with the 1-dimensional Euler Bernoulli beam described by the PDE: I am wondering if reducing $EI$ as my time-advancing scheme solves the equation is an acceptable model of wear and tear (...
37 views

$$\text{Ramberg-Osgood equation:} \hspace{41mm} \varepsilon_{tot} = \underbrace{\frac{\sigma}{E}}_{\text{elastic}} + \underbrace{\left(\frac{\sigma}{K}\right)^{\frac{1}{n}}}_{\text{plastic}}$$ $$\... 0answers 45 views ### Name of the product between Young's modulus and coefficient of thermal expansion (CTE) In solid mechanics, and especially thermo-elasticity, there are relationships with both the Young's modulus, E, and coefficient of thermal expansion, \alpha. Let's take the partitioning of strain ... 0answers 26 views ### Constitutive relations and strain energy in finite strain viscoelastic solid mechanics I'm an applied math graduate student, and my research is straying into hyperviscoelastic models of materials. I've had trouble finding an answer to this question I have about the mathematical theory ... 0answers 43 views ### How to prove \operatorname{div} \mathbf{A}=\operatorname{Div} \mathbf{A} \mathbf{F}^{-\mathrm{T}}? I recently focus on solid mechanics and I am reading Nonlinear Solid Mechanics A Continuum Approach for Engineering by Gerhard A. Holzapfel. However, I was confused by a mathematical formula eq(2.49), ... 1answer 39 views ### Why curl\textbf{u} is twice the axial vector \omega of the skew part of tensor grad\textbf{u} I met a problem in Nonlinear Solid Mechanics: A Continuum Approach for Engineering by Gerhard A. Holzapfel. This is the problem and the solution given bu the author. My question is WHY W_{ij}=\... 0answers 18 views ### Confusion between statically determinate and indeterminate beams Why is it that statically determinate beams can take some degree of misfits without any generation of strains or stress, but not statically indeterminate beams? 0answers 38 views ### Non conservative torque and lagrangian formalism I have a system I would like to describe with a Lagrangian formalism. I model friction on my system with a torque (\tau). Having non conservative forces and torques, I use equation:$$ \frac{d}{dt}\...
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Well, when it comes to electricity generation it is important to design units to be scalable enough. With wind turbines becoming popular nowadays it is very important. As you know, currently wind ...
78 views