J. N. Reddy

TL;DR: In this paper, a method that employs a dual mesh, one for primary variables and another for dual variables, for the numerical solution of differential equations is presented, which makes use of the trad...

TL;DR: In this paper, a phenomenological modification is proposed to the existing cohesive constitutive law of Roy and Dodds to model the crack tip high inertia region proposed by Gao, which involves addition of a term which is attributed to fracture mechanisms that result in high energy dissipation.

TL;DR: In this article, an application of the k-version finite element method to the numerical simulation of boundary value problems that contain singularity of the solution derivatives at certain point(s) in the domain is presented, and it is demonstrated that when numerical solutions of such problems are simulated in progressively increasing order scalar product spaces k, p ( e ), they approach the same characteristics in terms of differentiability as the theoretical solution as k is increased and in the limit k → ∞, the numerical solutions have exactly the same global differentiability characteristics as theoretical solutions.

TL;DR: In this paper, the dynamic response of orthotropic and transversely-isotropic flat plates to dynamic transverse loading and in-plane tensile loads constitutes the main topic of this paper.