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Alexander Hrennikoff Essay Topics & Paper Examples

Finite Element Analysis

Finite Element Analysis (FEA) was first introduced by Alexander Hrennikoff in 1941 through his works and by Richard Courant in 1943 through the utilization of the Ritz method of numerical analysis and minimization of variational calculus. The need for solving complex elasticity and structural analysis problems in civil and aeronautical engineering sparked the birth of FEA (Weaver et al, 1973). Hrennikoff and Courant, who used different approaches in their works, shared a common characteristic, which discretizes the mesh of a continuous domain into a set of discrete sub-domains called elements. Hrennikoff used a lattice analogy to discretizes the domain while Courant divided the domain into finite triangular subregions to solve second order elliptic partial differential equations involving problems in the…