Study of Mechanical Behavior of a Plate with Environment-Based Boundaries

Abstract

Finding a general mathematical solution for a rectangular plate within specific environment-based boundaries is the study's main goal. In this case, the temperature is maintained at zero on the edge x = 0, while the homogeneous boundary condition of the third kind is maintained at zero on the edges y = -b, b. the expression of the stress, displacement, and temperature functions as determined analytically.