Posted: September 14th, 2017

Structural Analysis

(14MMP130)

YOU ARE REQUIRED TO COMPLETE ALL QUESTIONS

PLEASE PROVIDE FULL WORKED SOLUTIONS TO ALL QUESTIONS

PLEASE ENSURE YOUR ANSWERS ARE CLEARLY PRESENTED

Deadline for receipt of coursework is Friday 21st August 2015

Resit Coursework: Finite element analysis of compression test

Simulation: Simulate compression test of a steel specimen with the material properties, dimensions

dimensions and test parameters given below. Attention on the unit system used!

Clamp (actuator)

v

Sp

eci

me

n

Clamp (stationary)

Material properties: Modulus of elasticity: 210 GPa

Poisson’s ratio: 0.3

Flow curve: 260 + 20 (e p)0.1 MPa according to Ludwik’s expression

s f = s Y,0 + K (e

)

p n

where s Y,0 is the initial yield stress, K and p are

the hardening exponents, and e p is the equivalent plastic strain.

Dimensions: Gauge length: 50 mm

Width: 20 mm

Thickness: 2 mm

Page 1 of 2

Test parameters: Bottom clamp is stationary. Velocity of the top clamp is v = 1 mm/s. Compressive

displacement of the top clamp is 5 mm.

1) Give the figures of von Mises stress distributions at 1 % and 40 % compression (of 5 mm), and

briefly discuss the differences observed

[20 marks]

2) Plot and analyse the force-displacement curve for the top clamp

[25 marks]

3) Briefly describe the effect of velocity of the clamp (v) on the simulation results [10 marks]

4) Briefly discuss the effects of mesh (element) size on the simulation results (force-displacement

curve, von Mises stress distribution, convergence, etc.) (You might build your model with various

element sizes!)

[20 marks]

5) Briefly explain the difference between 2D and 3D modelling (You might build 2D and 3D models

with identical simulation parameters)

[25 marks]

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