- #1
What is the role of Poisson's ratio in determining stress and stiffness?
- Context: Undergrad
- Thread starter Mrx1
- Start date
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SUMMARY
Poisson's ratio plays a crucial role in determining stress and stiffness in materials by quantifying the relationship between longitudinal strain and lateral strain during deformation. Specifically, when a material is stretched, it elongates in the direction of the applied force while simultaneously contracting in the orthogonal directions, which is directly influenced by Poisson's ratio. The discussion highlights the importance of accurately calculating the stiffness matrix for both plane stress and plane strain scenarios to ensure correct results in simulations, particularly when implementing the material point method.
PREREQUISITES- Understanding of Poisson's ratio in material mechanics
- Familiarity with stress-strain relationships in materials
- Knowledge of stiffness matrix formulation
- Experience with the material point method in computational mechanics
- Research the derivation of the stiffness matrix for plane stress and plane strain conditions
- Study the implications of Poisson's ratio on material behavior under different loading conditions
- Explore the material point method and its applications in finite element analysis
- Investigate the relationship between elastic modulus and Poisson's ratio in various materials
Students and professionals in mechanical engineering, materials science, and computational mechanics who are looking to deepen their understanding of material behavior under stress and the implementation of numerical methods like the material point method.
- #2
feynman1
- 435
- 29
when stretching sth, it's elongated in the stretch direction and shrunk in the 2 orthogonal directions. the poisson's ratio effect is just the shrinking in the 2 orthogonal directions.
- #3
Mrx1
- 3
- 0
Thank you so much for your answer I'm a student and trying to implement the material point method so I have the following problem as a benchmark
Did I get the stiffness matrix right? Cos that's the only thing I can think of for getting the same results
Did I get the stiffness matrix right? Cos that's the only thing I can think of for getting the same results
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- #4
feynman1
- 435
- 29
no worries. for plane stress and plane strain, the stress strain formulae are different
- #5
Mrx1
- 3
- 0
Does that mean I got that stiffness matrix right?
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