Deformation Definition and 175 Threads

Literature survey on Nuclei deformation I found theoretical calculations and prediction however I could not find experimental considerations. 1. How nuclei deformation confirmed? 2. Is it possible to consider deformation modulus constant that equivalent to Yang Modulus in mechanics? Are there...

Homework Statement Two rods of the same material, of equal length l, and of cross section A and 2A respectively, are mounted between two rigid (i.e., nondeformable) cross frames. The frames are pulled by a pair of forces P, located at distance x from the thin bar. Derive an expression for the...

Hi, I have a problem that I'm trying to solve and I'm not sure at all how can I proceed. If we have a metal rectangle (or maybe a rectangle-shaped hole in a piece metal), and we stretch this body a small distance, what is the shape of the top and bottom lines of the body? Can we say it is a...

Is there a criterion for a gradient of deformation tensor to be describing a rigid body??

in this problem , i could only understand that P3 = 120KN , i can't understand why P2= -60kN and why P1 = 240kN ? can someone explain ? Homework EquationsThe Attempt at a Solution

I am taking a physics modeling class and for our projects we need to add in some element to our physics engine that is unique and different. I choose to model the deformation of objects as a result of collisions. For clarification, When things bounce, I want to know by how much do they...

Homework Statement Part 1: I've worked out part 1 already. The answer is 4650m/s^2 A ball travels vertically downwards until it hits a concrete floor with speed 22.7-m/s. It then bounces vertically upwards at 10.8-m/s. Examination of a high speed video shows that the collision took 7.2-ms...

Homework Statement Consider a spring of natural length L_0 with constant k which rests on a horizontal frictionless surface. The spring is attached at one end to a fixed post and at the other end to a mass m. Suppose the spring is rotating around the post in a circle with angular velocity w...

Hi, About elastic and plastic materials: All materials exhibit elastic deformation up to a certain limit, beyond which they exhibit plastic deformation. Some materials, such as plasticine, have extremely tiny elastic regions, so we call them 'plastic materials'. Some, like rubber, have large...

Homework Statement I'm not sure if this belongs here, sorry if it does not. I am trying to find the most amount of mass a bridge can hold before deforming/collapsing. I was trying to factor stress/ultimate tensile strength into it in a way. Is there a way I can calculate ultimate tensile...

Hi, sorry for my bad english. PART A I have a cube of 10mm x 10mm x 10mm which is compressed with a stress of 0.5 Mpa on his superior face (σz=-0.6) young modulus=20Mpa, poisson coef=0.5 I have the stress tensor: [ 0 0 0] [ 0 0 0] [ 0 0 -0.6] And then, the deformation tensor is : [0.015 0 0] [...

We have a cube with sides of 10mm (fig a) (in the same material than the exercice 1 (have poisson coef & young's modulus) A- figure A 1- Write the stress state and the relatives values deformations (tensor) 2- Why the sum of relatives deformation is equal to 0? B-Figure...

Per my layman's understanding, the apparent force of gravity, as explained by the general theory of relativity, is actually the result of rectilinear motion at uniform speed through warped spacetime. 1. If that's the case, what actually causes gravity for objects at rest with respect to the...

Hey there! While reading my mechanical design book, I had hard time to understand a particular paragraph if anyone could help. Attached to this post are two figures. 2-6 a and b. The first one is pretty simple to understand; the engineering normal stress strain curve...

Homework Statement Hollow Circular tube of Length (L) 600 mm is compressed by forces P (axially). Outside diameter (d2) is 75 mm. Inside diameter (d1) is 63 mm. Modulus of Elasticity (E) is 73 GPa Poisson's ratio (v) is 0.33. axial strain (ε) is 781 x 10-6 Find shortening of tube (δ). (This...

The following is an image of the aftermath of the Tianjin explosion: http://i.imgur.com/sJShsFC.jpeg The containers in the image seem to have been crushed/deformed - but how much energy would be needed to do this? Closeup: http://i.imgur.com/0XBdHsw.jpg A shot from above...

Homework Statement A 100 kN load is applied to a flange positioned midway (at B) along a 50 mm diameter steel bar (ABC). The bar is placed between two rigid supports and is thus constrained. Determine the position of the flange (distance from the left support) if the temperature of the bar...

Homework Statement http://prntscr.com/7rw2hj Homework Equations deformation = PL/AE A= pi/4 (d^2) The Attempt at a Solution The displacement of the shaft is equal to the summation of the displacement of each individual piece. I started on end A, and got the internal force to be 6kips then...

So, I was introduced tangentially to plastic deformation and hardening functions. I see we have three basic function ... and the linear and kinematic seem to be the most common defaults ... I see it is a measure of the strain of a material under stress. But how would you know which version to...

The title of the project is as follows: A study of the effect of imperfections on the buckling capability of a soda can under axial loading. My group and I are aiming to carry out the following: Linear buckling analysis of soda can to gain first 5 eigenvalues Riks buckling analysis with...

If you flex a pipe, the energy is stored in it (assuming it returns to its original state). If that pipe were being used as a lever, wouldn't the torque it can generate be influenced by the flexibility of the lever? Why doesn't the equation T=Fd take this into account? Would all of the applied...

Homework Statement How can I calculate the ultimate stress? (I refere to the stress that it's in the green rectangle). I have a real graphic, I have two deformations, (it was 2 test, from the same material) and only one stress. The orange curve is Stress versus unit deformation 1, and the gray...

So a couple of days ago I ran into someone who said that an object traveling forever in a vacuum will eventually come to a stop due to deformation. After a little research I wasn't able to find much on the topic can someone explain it to me, and is it true that he object will eventually stop...

Homework Statement Calculate the stress in every segment of the system. AD and BC are laton and AB is steel. Homework Equations geometry compatibility-δ(A/D) +δ(A/B) - δ(C/B) = 0 F(D) - F(C) - 50 =0 The Attempt at a Solution I supossed that DA and BC are in compression and AB is in...

Hi all, Having some trouble getting the final answer on the question below, the fact that the cube doesn't have a force in the x direction is throwing me off. Once I fine the force(??) in the x-direction, I can just use the generalized Hooke's law to obtain strain? Any help is appreciated...

Hey guys, I've been having an issue with my approach to this problem. I'm stuck after I get the deformation... : 1. The proportional portion of the tension-strain diagram for an aluminum alloy is shown in the figure (attached). The specimen used for the test gauge length of 2in and a diameter...

Homework Statement I am trying to find a solution to the below attached image. The area for AB=CD = 0.8m^2 Area of BC = 0.3m^2 Force at B = 140 kN (left) Force at C = 60 kN (right) AB=CD = Concrete with a E of 25,000N/mm^2 CD = Steel with an E = 200,000N/mm^2 Homework Equations PL/AE The...

I've been studying this problem, trying to understand the given answer, but still no success. Homework Statement <<provided in attachment>> Homework Equations Longitudinal Strain Latitudinal Strain: where is the amount the radius contracts, r is original radius Average Normal Stress...

Hi everyone, I'm here to ask you one thing of ansys, I made this model with solidworks and I imported into ansys as STEP files (which is the difference in how import solidworks file?), I defined the part that will be studied and applied as you can see in the attached photo, a linear...

In case anyone is interested in DQ I came across this, which is moderately accessible in parts. http://math.berkeley.edu/~alanw/242papers99/karaali.pdf Evidently Alan Weinstein (Berkeley faculty) was teaching a graduate course Math 242 back in 1999 and put this online for his students. If...

How can we deform a given Lie algebra? In particular, in the attachment file how can we arrive at the commutation relations (20) by starting from the commutation relation (19)?

What is the meaning of... 1. Governing differential equations obtained are consistent with the assumed displacement field (If for a particular theory, governing differential equations are derived using variational approach). 2. Obtained boundary conditions are consistent with the governing...

I am wondering what causes warping in laser sintering? Can someone explain the mechanism to me? For a single layer, which direction will it warp in? (towards or away from heat source), and how big is the deflection is it usually?

Hi all, I've been trying to understand how to calculate the elastic energy of a deformed object. For example, if I have a box, and I push on it and it deforms, how can I calculate this deformation energy? I don't know much about elasticity, but I have read a little about strain energy and...

Hi can someone please guide me to an explanation of axial deformation of indeterminate bodies and the method of forces in that too Thanks Chirag

Homework Statement The continuum element shown in Figure (a) deforms to figure (b) I'm looking to find the positions after deformation (x coordinates) by expressing them in terms of E coordinates. Homework Equations The Attempt at a Solution x1 = E1 + E2 x2 = E1 + E2 x3 = E3 The...

Homework Statement A 24in diameter concrete column, at tenth story of an office building, is supporting the flat roof slab is subjected to a wind uplift load of 50.00kips while carrying a factored compressive force of 120.0kips. the column is 10.00ft long. Assume elasticity of concrete...

Hi all, I have a textbook question which I am stuck on and should be quite basic. There is a bar that has a cross-sectional area of 1750mm2, and E = 220GPa. http://imgur.com/gU29J1q Edit: okay link is not working, it is http://imgur.com/gU29J1q I am asked to find the displacement with the...

Homework Statement Hey, I have problems solving this question. May I know how to solve this question. Somehow, the answer I got is to the power of negative. can someone show me the step by step solution to this question? (Question 18 from this paper) the link is below...

---Quote--- *1. Homework Statement * http://postimg.org/image/yrbu7a0vb/ *2. Homework Equations * e(elongation of a member) = (Force * Length)/(Area * Young's Modulus) *3. The Attempt at a Solution * Is the force P distributed so that the force on each bar is P/3 so that F2...

Dear, I have a task to model the behaviour of certain interphase material. Let's say that functions which describe the change of material parameters are known. i.g. change of the Young's modulus as function of distance from neighbouring material (or (0,0) origin) - PAR=PAR(x)...

Homework Statement Use the principle of deformation of path to deduce \int_0^\infty t^n \textbf{cos}(bt) e^{-at}dt=\frac{n!}{e^{n+1}}\textbf{cos}((n+1)\phi) and \int_0^\infty t^n \textbf{sin}(bt) e^{-at}dt=\frac{n!}{e^{n+1}}\textbf{sin}((n+1)\phi) where a>0, b>0, c=\sqrt{a^2+b^2}, and...

For this problem, my thinking was that since the top of the rod is fixed, then the only part that is elongating is the bottom, so I found the part elongating at AB and said that was the total elongation. I am not sure if this reasoning is sound. I suppose the other possibility would be to add up...

In the tensile test practical for ductile materials, up to the elastic limit, the deformation is recoverable (no line defects). My question is can there be a reduction of area with the elastic deformation? If yes, how it happens? I'm a beginner. Thank you!

Homework Statement A .1in aluminum wire is being pulled from a coil between 2 1in steel rollers. One roller is fixed to the driving motor while the other roller is loaded with a force to provide traction. What is the maximum force that can be applied before the wire is plastically deformed by...

Hi everyone, For current project at work I am looking into possibility of simulating deformation from impact with static force. Here is the input data: A ball of 0.5 kg at speed of 25 km/h crashes into a damping foam which is placed on a rigid wall. Stopping (deformation) distance in the foam...

If a car with no acceleration, only velocity, hits my spring with a spring constant K What will be the deformation in string? How do I calculate the force from impact while acceleration is equal to 0?

For the deformation field given by $$ x_1 = X_1 + \alpha X_2,\quad x_2 = X_2 - \alpha X_1,\quad x_3 = X_3 $$ where ##\alpha## is a constant, determine the matrix form of the tensors ##\mathbf{E}## and ##\mathbf{e}##, and show that the circle of particles ##X_1^2+ X_2^2 = 1## deforms...

A linear elastic strip of natural length a and stiffness k lies between x = 0 and x = a. Each point on the strip is transformed by a differentiable, monotone increasing function f. a) Characterise the change in potential energy. b) Given the boundary conditions f(0) = 0 and f(a) = b, choose f...

Homework Statement I have this question. I need to know the diformation in P direction. Here is the question I use the symmetry and finally with a 1/4 modell I get the following: which is correct according to the instruction. K is the stiffness of the spring. which with symmetry becomes...