Deformation Definition and 207 Threads

A linearly strain-hardening material with a true-stress-true-strain curve given by σ = 34.5 + 172.4 ε is being drawn into a wire. If the original diameter of the wire is 0.635 cm, what is the minimum possible diameter at the exit of the die? Assume that there is no redundant work and that...

Homework Statement (Attached example on Combined extension and torsion of a solid cylinder) The Attempt at a Solution Using the Grad operator given on the given position vector x, I don't understand how to get the tor*r co-efficient on e_theta * e_z (So tor*r*lamda e_theta*E_Z in final...

Homework Statement Let a and b be two given orthonormal vectors around a fixed point O. The motion of a continuum is defined by the following velocity field: [tex] v(M) = \alpha \vec{a} (\vec{b} . \vec{OM}) \\ [\tex] where [tex] \alpha [\tex] is a known positive constant. 1...

Homework Statement A light elastic string has natural length 1 m. One end of the string is attached to the fixed point O and particle P of mass 4 kg is suspended from the other end of the string. When hanging in equilibrium, P is 6/5 m below O. Find the modulus of elasticity of the string...

Homework Statement 2. The attempt at a solution Ok. so I'm a little bit confused as to how to approach this problem. I would know how to do this problem if it was laying right to left, but because it's vertical, that makes it a lot more confusing for me. I know A = (1/4)(pi)(d^2) =...

Hey everyone I am wondering if someone can just double check my work and formulas to see if I did this correctly. Thanks! A 1.0-m rigid horizontal support is hung by two cables as shown. One cable is brass and the other is high density polyethylene plastic. At room temperature (21° C) the...

Homework Statement [PLAIN]http://img826.imageshack.us/img826/8600/217yf.jpg The attempt at a solution This is my work for part (a): \delta = \frac{PL}{AE} \delta = \frac{(6*10^3 N)(0.4 m)}{(70*10^9 Pa)(\frac{\pi}{4})(0.02^2 m)} \delta = 0.1091 mm However, the solution for...

I have some basic question about spring force. The anchor position for spring is its equlibrium position. As the spring is stretched, when released, it is expected that it should come back to its equilibrim position. But I found when less force is applied, the new equilibrium position is a bit...

Homework Statement A circular shaft AB has a torque T acting at the middle of the shaft, defined as plane C. Shaft end A is fixed while shaft end B is free to rotate (mounted in a thrust bearing). Finding the twist angle from A to C is not difficult, but the question requires that the twist...

Hey guys, i have some problems here, i hope you can share some helpful information. it's about shroud ring and clamping ring (support ring) for stator turbine blades. These rings have a thermal deformation behavior (ovalisation), thus dent was found on the ring surface (caused by contact...

I want to see what effects placing a steel cable on a reel of size of OD 3,51 m will have on the properties of the material? How will I go about doing this? A appreciate any help I can get :-)

I want to see what effects placing a steel cable on a reel of size of OD 3,51 m will have on the properties of the material? How will I go about doing this? A appreciate any help I can get :-)

Homework Statement the graph below shows the behaviour of a sample of a metal when it is stretched until it starts to undergo plastic deformation. what is the total work done in stretching the sample from zero extension to 12.0mm? simplify calculation by treating the region xy as a...

how can X be continuously deformed to Y?

Hi.. I need a good explanation for the following question. an explanation with a small mathematical calculation to prove the answer would be highly helpful. A copper rod of cross-section 10 mm  10 mm is stretched along its axis, changing length from 1.000 m to 1.001 m. The deformation is...

Y = (X ∪ I)/{x0 ~ 0} (disjoint union) xo - base point in X I am trying to show that X is a deformation retract of Y. I understand I need to maps f:X -> Y and g:Y -> X and show homotopic equivalence Where f is the inclusion map, is the identity ok for f? i.e f:X->Y , x in X ->...

Let' say two steel or rubber disks hit each other moving on friction-free surface. During the interaction, both disks deform elastically. My question is, does part of deforming energy gets converted to heat ? Why not ? Why this effect is never mentioned ? Is it negligible ? I know from...

Spring Constant and Deformation! Homework Statement If a spring with a constant K were to be cut in half, what would the spring constant be for each half? Homework Equations K = F/x, where F = force applied and x = length of the spring, or deformation. The Attempt at a Solution...

I am befuddled over how to calculate the force acting on a surface point of a deformed balloon (filled with water or air). I have drawn a picture to help illustrate. I have written a small program in c++ that uses the Runge-Kutta algorithm to simulate simple physics systems, like networks of...

This is a bit technical and I'm not exactly sure how to formulate my problem, but I'll try my best. I've been reading Landau & Lifgarbagez - Theory of Elasticity, and got not further than page 10, where they derive the free energy of deformation. So, what they do is that they assume linear...

the strain, as a function of the angle is K*sin2(x) now i know that the change in length is the integral of the strain =\intK*sin2(x)dx from 0->2pi =K/2*\int1-cos(2x)dx =K/2*(2pi - 0.5*sin(4pi) ) =K*pibut the answer says K*pi*R where does the R come from? i realize that the change in...

[EDIT] Would this maybe be more appropriate in "Engineering > Materials & Chemical Engineering"? Introduction [Please take time to read through the entire post, especially if you know material engineering.] Material engineering is NOT one of my "specialities" and I actually know quite...

Homework Statement Determine the extension, due to its own weight, of the conical bar show in Fig 5.13. The bar is made of aluminum alloy [E=10,600ksi] and \gamma=.100 lb/in3 The bar has a 2in radius at its upper end and a length of L=20ft assume the taper of the bar is slight enough for the...

Homework Statement Determine the deformation of a composite bar is subjected to a centric force P. This is a general question. The composite bar is made of 2 materials. The top and bottom layer is material 1, and the middle layer is material 2. I can't think of a better way to describe...

Homework Statement Prove that in the homogeneous deformation, particles which after the deformation lie on the surface of a shere of radius b originally lay on the surface of an ellipsoid. Homework Equations homogeneous deformations are motions of the form: xi=ci + AiRXR where ci...

Homework Statement A body which in the reference configuration is a unit cube with its edges parallel to the coordinate axes undergoes the following deformation: x1=a1(X1+sX2), x2=a2X2, and x3=a3X3 (where a1,a2,a3,s are constants). determine the lengths of its edges after the...

If a soft malleable metal pipe has a bend in it and is then pumped up with high internal static pressure, would this soft metal pipe seek to straighten out or would it simply remain in its bent shape due to pressure acting in many directions. I wonder if the most natural position of a pipe is...

A cylinder is aligned along zz' and both ends are closed, one with a rigid plate which has a smaller tube and valve attached. If the other end is covered with an elastic material and the edges are thin enough so that at time t, if the pressure is lowered in the cylinder by evacuating air, the...

I've been working on a ballistics model for quite some time now, and I am getting close to finishing some parts of it, however, I am having trouble with bullet deformation. I simply have not found sufficient reference material to be able to complete the model. Is there a clear relationship...

Homework Statement A large book has forces of magnitude 14 N applied in opposite directions to two opposite faces of area 42 cm2. The thickness of the book (L) is 2.0 cm. The deformation angle (g) is 8.4°. 1) what is change in X? 2) What is young's modulus for the book...

Hi Firstly I'm begginer level at physics, but I'm thinking for days about this problem: how change tha ball shape when it collide with a wall. I'm looking for books etc on the net, i found several about deformation but all i found are very short. The best is write about usually the...

Homework Statement Shaft AB is fixed at point A and is subjected to a torque T = 2.5 kN·m applied at point B and an axial force P = 30 kN applied at point C. The actual shaft specifications (type of material, prismatic / changing cross sections are left up to us and is NOT the point of...

I am trying to predict elastic wheel deformation. I am not quite sure how to do it. How might one approach the problem? Take a steel wheel: 6 in. diameter, 2 in. thick, with a contact force of 1000lbs E = 30,000,000 psi Poisson ratio: .27 Would one calculate this in finite layers...

Deformation of solids, please help! The question is: 1/ Show a qualitative knowledge of typical behavior of copper, glass and elestomers. 2/ Quantitative treatment of deformation in one dimension including work done; experimental determination of the Young modulus for a metal in the form of...

Hi! I have a question concerning General relativity. I am not familiar with tensor mathematics but as I understand lasting deformation can be achieved by applying two counteracting forces to material in different places. If tensors are used to describe curvature of spacetime and one of the...

I'm doing MD calculations and I am having trouble providing a satisfactory explanation for the following to my profs. I am trying to calculate c44 for a diamond cubic crystal (Si), and to do that I have to calculate energy vs shear strain. For each value of the shear strain, I have to do...

Hello, I'm a bit confused here about this topic. I can't seem to find a proper book on it so reading loads of papers of try and get a grip on it. I had come to the understanding that the high tensile and yeild strength developed here was due to the subgrain/micrograin size and the partial...

1. The total cross-sectional area of the load-bearing calcified portion of the two forearms bones (radius and ulna) is approximately 2.16cm^2. During a car crash, the forearm is slammed against the dashboard. Tha arm comes to rest from an initial speed of 81.9km/h in 7.72 s. If the arm has an...

Homework Statement Without the 20 Kg block there is a gap of 1.5mm between B and E. The AISI 430 annealed stainless steel cable only deforms elastically. Neglect the weight of the cable and the bar. Diameter of the wire = 2 mm a) Find the placement of the block to reduce the gap to zero...

Hi, I want to learn that do atoms or crystals dislocate in the plastic deformation of metals.

Hi everyone, I'm having a bit of difficulty interperting the results of an ANSYS model I'm currently running. This is of a small, thin piece of metal (0.018" in thickness, ~1"x1" length x width), that I am fixing at one end and displacing the other end ~0.015". Essentially this is a...

Hi all; Hope it's the right place to post this, so I am missing a report from the classes I was absent from and I can't find help anywhere... Here's the result of the experiment: http://img300.imageshack.us/img300/5452/plasticdeformationjx8.jpg These are thin pieces of aluminium that had...

A stainless-steel orthodontic wire is applied to a tooth. The wire has an unstretched length of 3.1 cm and a diameter of 0.22 mm. If the wire is stretched 0.10 mm, find the magnitude and direction of the force on the tooth. Disregard the width of the tooth, and assume that Young's modulus for...

Please prove that , macroscopic strength rate=(burger's vector)*(dislocation density)*(average dislocation density)

Homework Statement I have a lab report where I have to plot a stress-strain diagram for 2 beams. We apply an increasing load at midspan and record the deflection. I have to find the strain so I can plot the diagram. Also, the diagram willl be use to find the modulus of elasticity so I can use...

Experiment with a family of paths with common endpoints, say z(t) = t + \iota a sin(t) 0 \leq \ t \ \leq \pi, with real parameter a. Integrate non-analytic functions (Re(z), Re(z^2), etc.) and explore how the result depends on a. Take analytic functions of your choice compare and comment...

Homework Statement hi all, Given: a car is reversing at 4km/h, weight = 1500kg... n whamps into a lamp post. I'm suppose to calculate the bending of the bumper, which is made of AlZn4,5Mg1 material. bumper is 900mm long n fix onto the car body dimension : 80x80mm U profile with a 5mm...

Please tell me what is the quadrupole deformation of a nucleus?

How can a smooth deformation of a Lorentzian manifold possibly create one or more singularities?

I have a question. Let's say a car is moving at 100 miles an hour and hits a 15 inch thick steel beam, the car would most likely go flying back and get deformed (assuming the beam is being held into place somehow, like being bolted into the ground or something). Based on my understanding of...