The discussion focuses on the derivation of the nine independent constants for orthotropic materials from the original twenty-one constants of anisotropic materials in stiffness/compliance matrices. The reduction is attributed to the presence of three planes of symmetry in orthotropic materials, which simplifies the mathematical representation of their mechanical properties. Participants emphasize the need for a detailed mathematical explanation to understand how these symmetry planes influence the reduction of independent constants. The conversation highlights the importance of grasping the underlying mathematics to fully comprehend the behavior of orthotropic materials.
PREREQUISITESMaterial scientists, mechanical engineers, and students studying composite materials or advanced mechanics of materials will benefit from this discussion.
Hi yes.. I have found information on why it is reduced because of the three planes of symmetry.. But I have failed to find a detailed explanation as to how these three planes of symmetry reduce the independent constants.. That's the explanation I am looking for.. Books say that yes for orthotropic materials there are three planes of symmetry and hence it gets reduced.. but i am looking for the maths behind that.. exactly how the planes of symmetry affect these constantsChestermiller said:Have you researched this on your own before asking us?