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Pressure on circular area of a semi-infinite plane: typos in textbooks "contact mechanics" "surface mechanics" "elasticity"

Submitted by Huapei Wan on
education

This is supposed to be a very classic analytical solution in applied elasticity. Forgive me if this is a repost or some correction has been made before. I had a hard time with it.

Problem statement:  uniform pressure is applied on cirular area (radius=r) on top of a semi-infinite plane. Find the vertical deflection.

We got discrepancy between FEA solution and analytical solution which I found from different textbooks (famous and non-famous): Deflection within the circle is good, however, no good outside the circle.

Pond design

Submitted by oleg on
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Fluid Mechanics Forum
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. I want to design a detention pond, where should I start? The flow into pond is 1.4m3/s, the existing SW system near the pond is 600 dia pipe. If I calculate the disharge through the pipe using Mannings formula, the max capacity is 1.8m3/s, using the orifice formula for 600 dia pipe it is only 0.5m3/s. So which one should I use? Because if it is orifice one I will need to allow for 3m head water

abaqus cae

Submitted by shazwang on
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Hi guys..i am an abaqus CAE user and i am creating a model of an annular disc with a clamped at the middle hole. I have to compare the result of the stationary one with the rotating one. But I did not know the command for a rotating disc, as I have tried, I used the rotational body force. The problem is the result is the same as the stationary one which is wrong! i am a beginner at this, so could somebody help me out here, please?

shazwang

Solids Textbooks

Submitted by John M. Kolinski on
education
ES 240
student
2008
HW No.16

      The texts from Timoshenko and Landau and Lifschitz are classics. I think learning the physical approach of L&L is particularly valuable. The following sections are available in L&L:

 1. Fundamental Equations

 2. Equilibrium of Rods and Plates

3. Elastic Waves

4. Thermal Conduction and Viscosity in Solids

Look for insightful physical explanations, and expect to read with a pen and paper at your side, to understand exactly the brilliance behind each statement made.

Crack tip stress and formation of Plastic/influence zone for composite solid rocket propellant

Submitted by Yogesh Bansod on
education
stress
crack tip
crack propogation path
formation of plastic/influence zone
composite solid rocket propellant

Crack tip stress and formation of Plastic/influence zone for composite solid rocket propellants

The necessity to understand the crack behaviour of composite solid rocket propellants as it helps in analysis of service life of rocket motors. Experimental data reveals that a material’s microstructure at the crack tip can have a significant effect on the local damage near the crack tip and crack growth behaviour in particulate composites. 

Post Buckling of Thin Shells

Submitted by Himayat Ullah on
education

It is difficult to conduct post buckling analysis of thin shell under axial compression using Arc Length method in Ansys.

The Minimum & Maximum Arc Length radii are chosen by hit & trial.When imperfections are incorporated in the FE model,  some times the solution diverges at a higher critical load that the eigen value  buckling, which should be vice versa in actual. Some times , negative eigen values are also shown.

Is there any easy way to solve this nonlinear stability problem?

Himayat

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