Structural Analysis

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]