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Theories of Failure
Kumar Katturaja
CAE Engineer
Vernalis Systems Pvt Ltd
Introduction
Saturday, August 29, 2015 Kumar Katturaja | CAE Engineer 2
Failing Factors
Principal or Normal Stress
Stress
Shear Stress
Strain Principal Strain
Maximum Strain Energy
Energy
Shear Strain Energy
Failure Criteria's
Saturday, August 29, 2015 Kumar Katturaja | CAE Engineer 3
• Maximum Principal Stress
• Maximum Shear Stress
• Maximum Principal Strain
• Maximum Strain Energy
Density
• Maximum Distortion
Energy Density
Maximum Principal Stress Theory
Saturday, August 29, 2015 Kumar Katturaja | CAE Engineer 4
When the maximum
principal stress induced in a
material under complex load
condition exceeds the
maximum normal strength
in a simple tension test the
material fails
Good for brittle
materials
Maximum Shear Stress Theory
Saturday, August 29, 2015 Kumar Katturaja | CAE Engineer 5
When the maximum
shear strength in actual case
exceeds maximum allowable
shear stress in simple
tension test the material
case.
Good for ductile
materials
Maximum Principal Strain Theory
Saturday, August 29, 2015 Kumar Katturaja | CAE Engineer 6
When the maximum
normal strain in actual case
is more than maximum
normal strain occurred in
simple tension test case the
material fails
Not recommended
Maximum Strain Energy
Density Theory
Saturday, August 29, 2015 Kumar Katturaja | CAE Engineer 7
When the total strain
energy in actual case
exceeds the total strain
energy in simple tension
test at the time of failure,
the material fails
Good for ductile
material
Maximum Distortion Energy
Density Theory
Saturday, August 29, 2015 Kumar Katturaja | CAE Engineer 8
When the shear strain
energy in the actual case
exceeds shear strain energy
in simple tension test at the
time of failure the material
fails
Highly recommended
Comparison
Saturday, August 29, 2015 Kumar Katturaja | CAE Engineer 9
Failure Criterion
Saturday, August 29, 2015 Kumar Katturaja | CAE Engineer 10
Maximum Principal Stress
Brittle Material Maximum Principal Strain
Maximum Strain Energy
Density
Maximum Shear Stress
Ductile Material
Maximum Distortion
Energy Density

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Theories of Failure

  • 1. Theories of Failure Kumar Katturaja CAE Engineer Vernalis Systems Pvt Ltd
  • 2. Introduction Saturday, August 29, 2015 Kumar Katturaja | CAE Engineer 2 Failing Factors Principal or Normal Stress Stress Shear Stress Strain Principal Strain Maximum Strain Energy Energy Shear Strain Energy
  • 3. Failure Criteria's Saturday, August 29, 2015 Kumar Katturaja | CAE Engineer 3 • Maximum Principal Stress • Maximum Shear Stress • Maximum Principal Strain • Maximum Strain Energy Density • Maximum Distortion Energy Density
  • 4. Maximum Principal Stress Theory Saturday, August 29, 2015 Kumar Katturaja | CAE Engineer 4 When the maximum principal stress induced in a material under complex load condition exceeds the maximum normal strength in a simple tension test the material fails Good for brittle materials
  • 5. Maximum Shear Stress Theory Saturday, August 29, 2015 Kumar Katturaja | CAE Engineer 5 When the maximum shear strength in actual case exceeds maximum allowable shear stress in simple tension test the material case. Good for ductile materials
  • 6. Maximum Principal Strain Theory Saturday, August 29, 2015 Kumar Katturaja | CAE Engineer 6 When the maximum normal strain in actual case is more than maximum normal strain occurred in simple tension test case the material fails Not recommended
  • 7. Maximum Strain Energy Density Theory Saturday, August 29, 2015 Kumar Katturaja | CAE Engineer 7 When the total strain energy in actual case exceeds the total strain energy in simple tension test at the time of failure, the material fails Good for ductile material
  • 8. Maximum Distortion Energy Density Theory Saturday, August 29, 2015 Kumar Katturaja | CAE Engineer 8 When the shear strain energy in the actual case exceeds shear strain energy in simple tension test at the time of failure the material fails Highly recommended
  • 9. Comparison Saturday, August 29, 2015 Kumar Katturaja | CAE Engineer 9
  • 10. Failure Criterion Saturday, August 29, 2015 Kumar Katturaja | CAE Engineer 10 Maximum Principal Stress Brittle Material Maximum Principal Strain Maximum Strain Energy Density Maximum Shear Stress Ductile Material Maximum Distortion Energy Density