Abstract: Explicit algebraic expressions needed to compute element stiffness matrices using procedural (

Abstract: On arbitrary plane quadrilaterals, difficulties in integrating energy densities prevented analysts from directly using shape function expressions in terms of the physical coordinate variables (

Abstract: Engineering mechanics formulations of aerospace industry problems overwhelmingly rely upon spatial averaging techniques. Crucial applications in the area of dynamic response analysis and stochastic estimation of material ...

Abstract: During the 1970s, Wachspress developed shape functions for convex

Abstract: Monte Carlo simulation can be accelerated for material stochasticity when the samples are ordered according to their closeness in the constitutive moduli. Iteration on the previous solution is proposed with the samples ...

Abstract: Arbitrary shapes of engineering objects demand spatial discretization in design analysis. Therein, an accurate estimation of energy-like integrals, within each volume subset, becomes essential to formulate a variety of ...

Abstract: Computer algebra provides an environment of conceptual algorithmic development since the relation between the responses and inputs are maintained all along. The closed‐form algebraic formulation removes not only much tedium ...

Abstract: With the aid of the finite element method, the present paper deals with the problem of structural response variability resulting from the spatial variability of material properties of structures, when they are subjected ...