- #1
mohammed El-Kady
- 32
- 2
- TL;DR
- lame's constants
what are lame's constants for material? their definitions? their proof "if exist"?
Lame's Constants: Definition & Proof
- Thread starter mohammed El-Kady
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- Constants
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Discussion Overview
The discussion focuses on Lame's constants, specifically their definitions, mathematical representation, and potential proofs. The context includes theoretical aspects of material properties related to isotropic elastic materials under small deformations.
Discussion Character
- Technical explanation, Conceptual clarification
Main Points Raised
- Some participants describe Lame's constants as two material properties essential for defining the stress-strain behavior of isotropic elastic materials.
- There is a mention of the mathematical symbols for Lame's constants being "lambda" (λ) and "mu" (μ), with some participants expressing difficulty in writing these symbols online.
- It is noted that Lame's constants can be expressed in terms of Young's modulus and Poisson's ratio for linearly elastic solids.
- Participants provide suggestions on how to insert mathematical symbols using the forum's tools or LaTeX.
Areas of Agreement / Disagreement
Participants generally agree on the definitions and mathematical representation of Lame's constants, but there is no consensus on the existence of a formal proof.
Contextual Notes
Some limitations include the lack of detailed mathematical derivations or proofs regarding Lame's constants and the dependence on specific definitions of material properties.
- #2
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They are two material properties that are required to define the stress-strain behavior of an isotropic elastic material at small deformations.
- #3
mohammed El-Kady
- 32
- 2
mathematically they named "lamda, mu"?. Sorry i can't write symbols on line
- #4
- 23,721
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Yes. Those are the symbols used to represent them. They can each also be expressed in terms of the Young's modulus and Poisson ratio of the linearly elastic solid.mohammed El-Kady said:
- #5
mohammed El-Kady
- 32
- 2
thank youChestermiller said:
- #6
berkeman
Admin
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One way to insert symbols is to click on the SQRT icon on the toolbar in the Edit window, and select the symbol to insert into the line you are typing: λ μmohammed El-Kady said:
Another way is to use LaTeX to type mathematical symbols and equations. Click on INFO at the top of the page and go to "Help" to find a LaTeX tutorial...
\lambda \mu
- #7
mohammed El-Kady
- 32
- 2
λ, μberkeman said:
, thank you.