Stresses in Heterogeneous Plates

Investing for survival of rare severe stresses in heterogeneous environments

We model the ESS investment of limiting resources for survival of rare severe stresses, with an emphasis on investment by trees in mechanical strength for survival of storm stresses. The basic model includes the effects of the fitness benefits of increased survival, the cost in reproduction, the effects of the distributions and timing of the stress in the population, and of stress-independent m...

On Dynamic Stresses in Compressor Valve Reeds or Plates During Colinear Impact on Valve Seats

Stress Projection, Layerwise-Equivalent, Formulation for Accurate Predictions of Transverse Stresses in Laminated Plates and Shells

A two-phase scheme for accurate predictions of interlaminar stresses in laminated plate and shell structures has been addressed in this study. A modified superconvergent patch recovery (MSPR) technique has been utilized to obtain accurate nodal in-plane stresses which are subsequently used with the thickness integration of the three-dimensional equilibrium equations to evaluate the transverse s...

Three-dimensional Analysis of Transient Thermal Stresses in Functionally Graded Plates

An analytical solution is presented for three-dimensional thermomechanical deformations of a simply supported functionally graded (FG) rectangular plate subjected to time-dependent thermal loads on its top and/or bottom surfaces. Material properties are taken to be analytical functions of the thickness coordinate. The uncoupled quasistatic linear thermoelasticity theory is adopted in which the ...

An Asymptotically Optimal Model for Isotropic Heterogeneous Linearly Elastic Plates

Abstract. In this paper, we derive and analyze a Reissner–Mindlin–like model for isotropic heterogeneous linearly elastic plates. The modeling procedure is based on a Hellinger– Reissner principle, which we modify to derive consistent models. Due to the material heterogeneity, the classical polynomial profiles for the plate shear stress are replaced by more sophisticated choices, that are asymp...