The discussion revolves around calculating Young's modulus for a rectangular prism composed of various horizontal layers made from different materials. Participants explore methods for determining the overall modulus of elasticity, considering factors such as material ratios and the specific goals of the calculations, including bending stresses and buckling loads.
Participants express various approaches and considerations for calculating Young's modulus, indicating that multiple competing views remain. The discussion does not reach a consensus on a single method or solution.
Limitations include the unspecified materials and their ratios, as well as the challenges in deriving a meaningful value due to the complexities of layered materials and bonding effects.
It depends on what you are trying to accomplish.Bob Joey said:Given a rectangular prism that is composed of various horizontal layers made of different materials, how can one calculate the modulus of elasticity? Currently the materials used and their respective ratios have not been specified. We wish to determine this information using the results of trying to find the modulus.
You assume that, since all the layers are glued together, they all experience the same in-plane strain. Once you know the strains, you can calculate the stresses in each layer, and average these to get the average modulii. If it is a uniaxial unconstrained deformation, you first solve for the strain that makes the average transverse stress zero, and then determine the average axial stress.Bob Joey said:Given a rectangular prism that is composed of various horizontal layers made of different materials, how can one calculate the modulus of elasticity? Currently the materials used and their respective ratios have not been specified. We wish to determine this information using the results of trying to find the modulus.