Questions tagged [elastic-modulus]

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1answer
18 views

Overextending and cutting a coil spring

This is related to my recent question Can I weaken a coil spring consisting of spring steel?. The answer here could create an additional answer there, but I do not expect that. The difference to that ...
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8answers
1k views

Can I weaken a coil spring consisting of spring steel?

I have a steel coil spring that is used by compression. It is too strong, and I would like to reduce its strength by some fraction, ideally keeping its length. Reducing it to roughly half would be ...
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1answer
20 views

Elastic Modulus in Arbitrary Direction for Orthotropic Material

Suppose I have a material with an elastic modulus of Ex in the x direction and an Elastic modulus of Ey in the y direction. How would I find the effective elastic modulus in an arbitrary direction (...
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1answer
50 views

Is the young's modulus of a braided rope stronger than the sum of its parts?

I know that if I have a thin rope of Young's modulus Y, then getting n of these ropes and holding them in parallel gives a Young's modulus of nY. If I was to braid/weave them, does this affect the ...
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1answer
24 views

Are there ways to measure modulus of elasticity with an experimental apparatus?

It seems that measuring the modulus of elasticity of a material always involves the strength of materials or linear elasticity approach, where they make some experimental measurements for variables ...
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0answers
16 views

What's the methodology for adequate tetrahedralisation?

I'm running a linear elastic solver generating the tetrahedron's using tetGen. It's not clear to me though how one defines what's an acceptable tetra density that provides sufficient accuracy. You ...
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0answers
30 views

Thin or thick wall for expanding rubber pressure cylinder

If I want to expand a rubber cylinder by a certain internal volume - with all else held constant (type of material, length and radius (without constraining it), etc.) will a thinner or thicker walled ...
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1answer
20 views

Drucker-Prager Model Parameters, a Proper Choice

My task is to write a code from scratch for 3D elastoplasticity, namely a DP model (see for example DeSouza Neto, et al., 2008, Chapter 8) having yield surface $$ f(\mathbf{\sigma},c) = \sqrt{J_2(\...
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0answers
21 views

Must I use viscoplastic model to fit the thermoplastic material

I need to do the simulation with a specified material. It is known as a thermoplastic. During the simulation, I need to define the material property. I need to choose whether it is viscoplastic or ...
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2answers
109 views

Is it possible to calculate Young's Modulus of Clay from load-controlled tests?

I'm trying to get the compressive strength (and Young's modulus) of a clay sample. The method I found is called 'Unconfined Compressive Strength of Cohesive Soil'. According to ASTM D2166M, I have ...
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0answers
86 views

Shape memory alloy fibers with low Young's Modulus?

I am wondering if there exist any species of shape memory alloy fibers with low Young's Modulus at room temperature, for an application I'm working on. So far I've played with Flexinol, but it is a ...
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2answers
615 views

Is strain energy the same as potential energy, or something differen?

Sorry for this stupid, basic question. But I got hung up on it. We know from Clapeyron's theorem that the strain(internal) energy of an elastically deformed body is equal to half the work $$ U=\...
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2answers
730 views

Viscoelasticity and Hyperelastic model, history and difference

Actually, I see some papers use viscoelasticity or hyperelastic model for the same materials. It seems to me that those models were invented in different eras, and the hyperelastic is a newer model ...
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1answer
105 views

Stiffness of highly compressible materials

A foam which I have performed compression tests on shows results similar to the following hysteresis cycle: (Note that the first bend in the graph is not the yield point; the hysteresis cycle returns ...
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2answers
147 views

Thick walled cylinder theory - Stress/strain in ballooned out tube

I want to work out how much I can expand a piece of rubber tubing before it ruptures. The wall is 0.75mm and the ID 5mm. Hence I am working out the stress/strain from thick-walled cylinder theory ...
2
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2answers
50 views

Calculate or approximate force required to expand a thin-walled elastic cylinder held rigidly at both ends?

How might one calculate or approximate the negative pressure applied to the outer surface of a cylinder required to expand it a certain distance, when held open rigidly at each end? The cylinder ID = ...
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1answer
170 views

Force to compress flexible elastic tubing

How would one work out the force required to compress flat, using a flat bar on top pressing down, a thick walled (15mm OD 10mm ID) piece of flexible plastic (PVC) tubing i.e. so reducing the x-...
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2answers
105 views

Young's modulus for composite auxetic material

If you look at the screenshot you will see a composite auxetic material. How would you calculate the E-modulus for it? Is it as simple as the rule of mixtures, ...
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2answers
129 views

Should I discard part of the data (steel traction test)

(please excuse my bad English. I don't speak English) I have to deal with an old hydraulic machine, recovered from a deposit. I have no knowledge on mechanical engineering. Only civil engineering. ...
3
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1answer
35 views

How to properly validate transverse isotropic elasticity Finite Element Code

I have written a piece of code solving the linear elasticity problem on transversely isotropic materials (before that, the code only supported isotropic materials). I would like to validate it before ...
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1answer
60 views

What is the definition of Ecm in equation 7.10 of EC2?

In the old British standard we use a time dependent modulus of elasticity of concrete to calculate crack width, which is usually about half of the 28-day Ec for long term modulus. In Eurocode EN 1992-...
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0answers
98 views

Database of elastic constants

I'm interested in locating a database containing the elastic constants (the tensor matrix) for a variety of materials (preferably for a variety of symmetry classes). I don't have a particular material ...
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1answer
119 views

Plane Strain in Anisotropic Materials

I'm looking into plane strain and I'm a little confused about the concept. If we assume the material is much longer in the $z$-direction, the typical assumptions I see are \begin{equation*} |\...
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1answer
468 views

Tau max value in torsion calculation [duplicate]

I am going to try and ask this question again. In this formula to calculate shear stress in a solid shaft: τ = T r / J If I want to solve for the radius; I should use the modulus of rigidity ...
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2answers
8k views

How to calculate the diameter of a transmission shaft from RPM & Torque

If I know the torque and rpm that the shaft need to operate at, can I calculate the diameter of the shaft? A motor operating at 60 rpm applying 1,000 Nm of force on a shaft that has a modulus of ...
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2answers
111 views

Stiffness Tensor in Two Dimensions

I understand plane strain/stress relations are typically utilized for 2D materials. I was wondering if we consider a 2D material acting in a 2D space, would we have a stiffness matrix such as \begin{...
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1answer
206 views

Elastic bands vs Spring Steel?

My friend and I are working on a project requiring for us to propel a syringe forward in a small container with significant force. We are debating whether to use an elastic band wrapped around the ...
4
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1answer
425 views

How to Calculate the Minimum Radius a Rod Can Can Be Bent Staying in the Elastic Range?

I am wondering if there is a formula (or how to derive one) for calculating the minimum radius a rod (with a given radius/diameter) can be bent around while staying in the elastic range. Obviously, ...
3
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2answers
197 views

How to deal with rotation of an element in theory of elasticity?

As you know in linear theory of elasticity equations for strains are given as (according to picture): But what will be if an element will just rotate (strain equation is on the picture): Intuitively ...
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2answers
319 views

How much does the elasticity (Young's Modulus) of concrete and asphalt change with ambient temperature?

I'm assuming here that all materials will have a change in elasticity due to thermal expansion/contraction and a resultant reduction/increase in the strength of the bonds of the atoms leading to a ...
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2answers
421 views

Flexural modulus for a beam fixed at one end

For a beam supported at both ends with a mass in the middle, the flexural modulus is given by: $$E_b = \frac{F L^3}{48I d}$$ with I as the area moment $$I = \frac{1}{12}wh^3$$ How does the ...
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1answer
91 views

Number of layers in a laminated steel transplant, using Young's Modulus

I'm not sure if my calculations are correct for the above question. $$ E = \frac{\sigma}{\epsilon} = \frac{\frac{My}{I}}{\frac{\delta}{L}} = k. \frac{1}{I} $$ Where k is constant for both beams, ...
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0answers
60 views

how does thickness affect the maximum crushing strength and modulus of rupture of wood?

I have modulus of rupture (MOR) and maximum crushing strength of various species of wood. I am trying to understand how the thickness of wood a wood beam laid flat on the ground would affect both ...
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1answer
150 views

Spring Diameter Question

Aluminum 6061-T6 has a density of 2.7 g/cm^3, a Young's modulus of 69 GPa, and an ultimate tensile strength of 310 MPa. If a "spring" were to be made by pulling a 10cm long cylinder of material in ...
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0answers
47 views

Relating internal stress of an o-ring due to thermal expansion to amount of free volume in a gland

I am trying to come up with an analytical way to determine the optimal gland size that an elastomer o-ring will sit in. The amount of free space in the gland is determined by the thickness of two ...
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1answer
328 views

Material with very small Young's modulus

I'm looking for a material with a Young's modulus of less than 100 Pa. I've looked at elastomers, but I haven't had any luck.
6
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1answer
108 views

Elasticity of a drilled plate

If I take a large thin plate and I uniformly drill a very large number of holes (diameter "d") very close together (minimum spacing "s"), what will be the stiffness of this new plate? When I say "...
4
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1answer
617 views

What are the elastic constants for tetragonal zirconia polycrystal (TZP)?

I have six known elastic constants of TZP. What is the relationship between the known and the unknown constants? Known constants (GPa): $c_{11}=327\\ c_{12}=100\\ c_{13}=62\\ c_{33}=264\\ c_{44}=...