Quasi-Static Anti-Plane Shear Crack Propagation in a New Class of Nonlinear Strain-Limiting Elastic Solids using Phase-Field Regularization. - Hyun Chul Yoon; Sanghyun Lee; S. M. Mallikarjunaiah (CoRR, 2020)

Nonlinear Strain-limiting Elasticity for Fracture Propagation with Phase-Field Approach. - Sanghyun Lee; Hyun Chul Yoon; Mallikarjunaiah S. Muddamallappa (CoRR, 2020)

Finite element model for a coupled thermo-mechanical system in nonlinear strain-limiting thermoelastic body. - Hyun Chul Yoon; Karthik K. Vasudeva; S. M. Mallikarjunaiah (Commun. Nonlinear Sci. Numer. Simul., 2022)

Preferential stiffness and the crack-tip fields of an elastic porous solid based on the density-dependent moduli model. - Hyun Chul Yoon; S. M. Mallikarjunaiah; Dambaru Bhatta (CoRR, 2022)

Finite element simulation of quasi-static tensile fracture in nonlinear strain-limiting solids with the phase-field approach. - Sanghyun Lee; Hyun Chul Yoon; S. M. Mallikarjunaiah (J. Comput. Appl. Math., 2022)

On an efficient octic order sub-parametric finite element method on curved domains. - Sasikala J.; V. Kesavulu Naidu; Venkatesh B.; S. M. Mallikarjunaiah (Comput. Math. Appl., 2023)

A feedforward neural network framework for approximating the solutions to nonlinear ordinary differential equations. - Pavithra Venkatachalapathy; S. M. Mallikarjunaiah (Neural Comput. Appl., 2023)

Multiscale model reduction technique for fluid flows with heterogeneous porous inclusions. - Maria V. Vasilyeva; S. M. Mallikarjunaiah; D. Palaniappan (J. Comput. Appl. Math., 2023)

Computational modeling of circular crack-tip fields under tensile loading in a strain-limiting elastic solid. - Kun Gou; S. M. Mallikarjunaiah (Commun. Nonlinear Sci. Numer. Simul., 2023)

A deep learning feed-forward neural network framework for the solutions to singularly perturbed delay differential equations. - S. M. Mallikarjunaiah (Appl. Soft Comput., 2023)

Designing Dual Modeling Task Sequences to Build Functional Analysis Learning Trajectories for Engineering and Mathematical Sciences Education. - Celil Ekici; Pablo Rangel; José Baca; Devanayagam Palaniappan; Mehrübe Mehrübeoglu; Mallikarjunaiah S. Muddamallappa (FIE, 2024)

An efficient finite element method for computing the response of a strain-limiting elastic solid containing a v-notch and inclusions. - Shylaja G.; V. Kesavulu Naidu; Venkatesh B.; S. M. Mallikarjunaiah (CoRR, 2024)

A Finite Element Model for Hydro-thermal Convective Flow in a Porous Medium: Effects of Hydraulic Resistivity and Thermal Diffusivity. - S. M. Mallikarjunaiah; Dambaru Bhatta (CoRR, 2024)

An hp-adaptive discontinuous Galerkin discretization of a static anti-plane shear crack model. - Ram Manohar; S. M. Mallikarjunaiah (CoRR, 2024)

Generalized Multiscale Finite Element Treatment of a Heterogeneous Nonlinear Strain-limiting Elastic Model. - Maria V. Vasilyeva; S. M. Mallikarjunaiah (Multiscale Model. Simul., 2024)

A stabilized finite element method for steady Darcy-Brinkman-Forchheimer flow model with different viscous and inertial resistances in porous media. - Hyun Chul Yoon; S. M. Mallikarjunaiah (CoRR, 2025)

A computational model for crack-tip fields in a 3-D porous elastic solid with material moduli dependent on density. - Kun Gou; S. M. Mallikarjunaiah (CoRR, 2025)

A finite element model to analyze crack-tip fields in a transversely isotropic strain-limiting elastic solid. - Saugata Ghosh; Dambaru Bhatta; S. M. Mallikarjunaiah (CoRR, 2025)

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 (CoRR, 2025)

ξ-Based adaptive phase field model for quasi-static anti-plane fracture. - Maria P. Fernando; S. M. Mallikarjunaiah (CoRR, 2025)

An AT1 phase-field framework for quasi-static anti-plane shear fracture: Unifying ξ-based adaptivity and nonlinear strain energy density function. - Maria P. Fernando; S. M. Mallikarjunaiah (CoRR, 2025)

Adaptive finite element convergence analysis of AT1 phase-field model for quasi-static fracture in strain-limiting solids. - Ram Manohar; S. M. Mallikarjunaiah (CoRR, 2025)

Computational Insights into Orthotropic Fracture: Crack-Tip Fields in Strain-Limiting Materials under Non-Uniform Loads. - Saugata Ghosh; Dambaru Bhatta; S. M. Mallikarjunaiah (CoRR, 2025)

Analyzing mob dynamics in social media networks using epidemiology model. - Ahmed Al-Taweel; Saqib Hussain; S. M. Mallikarjunaiah (CoRR, 2025)

Crack-tip field characterization in nonlinearly constituted and geometrically linear elastoporous solid containing a star-shaped crack: A finite element study. - S. M. Mallikarjunaiah; Kun Gou (CoRR, 2025)

Finite element modeling of V-notched thermoelastic strain-limiting solids containing inclusions. - Shylaja G.; V. Kesavulu Naidu; Venkatesh B.; S. M. Mallikarjunaiah (CoRR, 2025)

hp-adaptive finite element simulation of a static anti-plane shear crack in a nonlinear strain-limiting elastic solid. - S. M. Mallikarjunaiah; Pavithra Venkatachalapthy (CoRR, 2025)

Computational investigation of crack-tip fields in a compressed nonlinear strain-limiting material. - Dambaru Bhatta; Saugata Ghosh; S. M. Mallikarjunaiah (CoRR, 2025)