- #1
What is the role of Poisson's ratio in determining stress and stiffness?
- Context: Undergrad
- Thread starter Mrx1
- Start date
Click For Summary
Discussion Overview
The discussion revolves around the role of Poisson's ratio in determining stress and stiffness, particularly in the context of material behavior during stretching and the implementation of the material point method. The scope includes theoretical aspects and practical applications related to stress-strain relationships.
Discussion Character
- Exploratory, Technical explanation, Homework-related
Main Points Raised
- One participant inquires about the use of Poisson's ratio in determining stress, noting the relationship between stress and strain as stress = E * strain.
- Another participant explains that when a material is stretched, it elongates in the stretching direction and contracts in the two orthogonal directions, highlighting the effect of Poisson's ratio.
- A student mentions their attempt to implement the material point method and seeks confirmation on the correctness of their stiffness matrix.
- Another participant notes that the stress-strain formulas differ for plane stress and plane strain conditions.
- The student asks for clarification on whether their stiffness matrix is correct based on the previous comments.
Areas of Agreement / Disagreement
Participants express varying levels of understanding regarding the application of Poisson's ratio and the correctness of the stiffness matrix, indicating that multiple views and uncertainties remain in the discussion.
Contextual Notes
There are limitations regarding the assumptions made about the material behavior and the specific conditions under which the stress-strain relationships apply, as well as the need for clarity on the definitions used in the context of the material point method.
Who May Find This Useful
This discussion may be useful for students and practitioners interested in material mechanics, particularly those exploring stress-strain relationships and numerical methods in material modeling.
- #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
Attachments
- #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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