Simulate the compression test, Mechanical Engineering

Assignment Help:

This assignment will simulate large deformations (nonlinear geometry) and occurrence of necking and buckling due to static tensile and compressive loading of a given elastic-plastic ductile metallic material.

The aim of this assignment is the investigation of computationally effective solution methods to simulate unstable large deformations.

Assume the material to be aluminium. The characteristic curve in the plastic range can be fitted to a material law given by

419_Simulate the compression test.png, where E= 70GPa, s0=200 MPa, B=3.0 GPa and H=4.0

Assume Poisson's ratio to be n=0.25.

1) Simulate the tension test for the following specimen geometry:

  • The specimen has a 0.1*# mm width and thickness (solid square) cross-section with 0.4*# mm length

2) Simulate the compression test for the following specimen geometry:

  • The specimen is a slender plate, 0.6*# mm height, 0.2*# mm width and 0.02*# mm thickness
  • Include different imperfections (maximum out-of-plane centre imperfection is 50%, 100% and 200% of thickness) into your model for the nonlinear analysis.

For both models, # = 100 + the last two digits of your student number (e.g. for s123456 -> # = 156).

Introduce the given material properties into your models as discussed in lecture 3 on plasticity (you might want to use software such as Excel to generate the data). Apply appropriate boundary conditions for each loading case. Analyse results to reproduce the characteristic curve of the material as usual in analysing the results of experimental tests. This means that you need to produce force-displacement diagrams for each test (in-plane and out-of-plane when appropriate). Using constraints for the applied boundary conditions on the top plate are very useful in this case!

Simulate elongating both specimens statically by 25%.

Assume all models to be welded to rigid blocks at both ends. Due to these boundary conditions (fixed-fixed), determine why imperfections are required to introduce buckling in the nonlinear model, but necking occurs without imperfection. Determine the differences in the buckling response with different levels of imperfection.


Related Discussions:- Simulate the compression test

Strength of materials, derive the torsion formula as (torsion divided by ra...

derive the torsion formula as (torsion divided by radius) is equal to (modulus of rigidity multiplied by twist of angle all divided by the length of a cylinder)

Stress, how do i determine the operational factor of safety in tension

how do i determine the operational factor of safety in tension

Compute the outside diameter of the shaft, Compute the outside diameter of ...

Compute the outside diameter of the shaft: A hollow shaft of diameter ratio is 0.4 is needed to transit 600 kW at 120 rpm. The maximum torque being 20% greater than the mean t

Steel ball v/s cotton ball, steel ball v/s cotton ball of same weigt which ...

steel ball v/s cotton ball of same weigt which is easy to lift

Define the polyhedra and euler formula, Polyhedra and Euler's Formula T...

Polyhedra and Euler's Formula The b-rep of a polyhedra that are holomorphic to a sphere are topologically valid if they satisfy the following equations : F - E + V - L = 2 (

Safety from corrosive chemicals, Q. Safety from Corrosive Chemicals? Sa...

Q. Safety from Corrosive Chemicals? Safety showers and eyewash stations shall be provided in areas where corrosive chemicals are stored and handled. They should be located so t

Axis of symmetry, Axi s of symmetry If in diagram half part of diagram...

Axi s of symmetry If in diagram half part of diagram is mirror image of next ½ part, then there is a symmetry in diagram. The axis at which symmetry is create, called as axis

Evolution of safety - industrial safety, Evolution of Safety - Industrial S...

Evolution of Safety - Industrial Safety The large scale expansion started taking shape along with the beginning of nineteenth century but safety could not turn into the concer

Describe cope and drag pattern, Cope and drag pattern These are similar...

Cope and drag pattern These are similar to split patterns. In addition to splitting the pattern, the cope and drag halves of the patterns along with the gating and risering sys

Thermocouple, calibration curve standard temparature vs indicator tempratur...

calibration curve standard temparature vs indicator temprature.

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd