From the 1 of 19 linked papers with an AI index.
19 papers
Space-Time Finite Element Approximation of Quasilinear Hyperbolic Equations Arising in Dynamic Strain-Limiting Elasticity
Ram Manohar, Ananya G. Hegade, Harry Lee +1
The numerical approximation of a class of quasilinear hyperbolic equations arising in dynamic strain-limiting elasticity-whose nonlinear constitutive law relates stress and strain…
Uncertainty-Aware Crack Growth Forecasting via Conditional Denoising Diffusion Models for Phase-Field Fracture
Jahnavi Krishna Koda, S. M. Mallikarjunaiah
The paper introduces a physics‑informed conditional denoising diffusion model that predicts the full‑field evolution of brittle cracks in phase‑field simulations and provides spati…
Computational modeling of crack-tip fields in transversely isotropic strain-limiting solids subjected to piecewise linear slope loads
S. M. Mallikarjunaiah, Saugata Ghosh, Dambaru Bhatta
Crack-tip fields within a transversely isotropic strain-limiting elastic body are investigated under the influence of piecewise linear slope boundary loads. The mechanical response…
An HHT--based finite element framework for wave propagation in constitutively nonlinear elastic materials
S. M. Mallikarjunaiah
This paper presents a computational framework for modeling wave propagation in geometrically linear elastic materials characterized by algebraically nonlinear constitutive relation…
An -adaptive finite element framework for static cracks: The impact of pointwise density variations on mode I, mode II, and mixed-mode fracture
S. M. Mallikarjunaiah
A robust -adaptive finite element framework is presented for the investigation of static cracks in materials characterized by complex, pointwise density variations. Within such…
Convergence Analysis of Adaptive Finite Element Algorithms for a Regularized Variational Model of Quasi-Static Brittle Fracture in "Strain-Limiting" Elastic Solids
Ram Manohar, S. M. Mallikarjunaiah
The rigorous convergence analysis of adaptive finite element methods for regularized variational models of quasi-static brittle fracture in strain-limiting elastic solids is presen…