2 citations · 13 across the 24 of their papers we have counts for
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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…
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…
A finite element model for thermomechanical stress-strain fields in transversely isotropic strain-limiting materials
Saugata Ghosh, Dambaru Bhatta, S. M. Mallikarjunaiah
This paper presents a comprehensive computational framework for investigating thermo-elastic fracture in transversely isotropic materials, where classical linear elasticity fails t…
Computational investigation of crack-tip fields in a compressed nonlinear strain-limiting material
Dambaru Bhatta, Saugata Ghosh, S. M. Mallikarjunaiah
A finite element framework is presented for the analysis of crack-tip phenomena in an elastic material containing a single edge crack under compressive loading. The mechanical resp…
-adaptive finite element simulation of a static anti-plane shear crack in a nonlinear strain-limiting elastic solid
S. M. Mallikarjunaiah, Pavithra Venkatachalapthy
An -adaptive continuous Galerkin finite element method is developed to analyze a static anti-plane shear crack embedded in a nonlinear, strain-limiting elastic body. The geomet…
Finite element modeling of V-notched thermoelastic strain-limiting solids containing inclusions
G. Shylaja, V. Kesavulu Naidu, B. Venkatesh +1
A precise domain triangulation is recognized as indispensable for the accurate numerical approximation of differential operators within collocation methods, leading to a substantia…
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
This paper introduces a three-dimensional (3-D) mathematical and computational framework for the characterization of crack-tip fields in star-shaped cracks within porous elastic so…
Computational Insights into Orthotropic Fracture: Crack-Tip Fields in Strain-Limiting Materials under Non-Uniform Loads
Saugata Ghosh, Dambaru Bhatta, S. M. Mallikarjunaiah
A finite element framework is presented for analyzing crack-tip phenomena in transversely isotropic, strain-limiting elastic materials. Mechanical response is characterized by an a…
Adaptive finite element convergence analysis of AT1 phase-field model for quasi-static fracture in strain-limiting solids
Ram Manohar, S. M. Mallikarjunaiah
This research rigorously investigates the convergence of adaptive finite element methods for regularized variational models of quasi-static brittle fracture in elastic solids. We s…
An \textsf{AT1} phase-field framework for quasi-static anti-plane shear fracture: Unifying -based adaptivity and nonlinear strain energy density function
Maria P. Fernando, S. M. Mallikarjunaiah
This work introduces a novel \textsf{AT1} phase-field framework for simulating quasi-static anti-plane shear fracture in geometrically linear elastic bodies. A key feature of this…
-Based adaptive phase field model for quasi-static anti-plane fracture
Maria P. Fernando, S. M. Mallikarjunaiah
The -based spatially adaptive three-field variable phase-field model for quasi-static anti-plane crack propagation is introduced. A dynamically optimized regularization length i…
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…
A finite element model to analyze crack-tip fields in a transversely isotropic strain-limiting elastic solid
Saugata Ghosh, Dambaru Bhatta, S. M. Mallikarjunaiah
This paper presents a finite element model for the analysis of crack-tip fields in a transversely isotropic strain-limiting elastic body. A nonlinear constitutive relationship betw…
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
A mathematical model for crack-tip fields is proposed in this paper for the response of a three-dimensional (3-D) porous elastic solid whose material moduli are dependent on the de…
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
We implement a stabilized finite element method for steady Darcy-Brinkman-Forchheimer model within the continuous Galerkin framework. The nonlinear fluid model is first linearized…
An -adaptive discontinuous Galerkin discretization of a static anti-plane shear crack model
Ram Manohar, S. M. Mallikarjunaiah
We propose an -adaptive discontinuous Galerkin finite element method (DGFEM) to approximate the solution of a static crack boundary value problem. The mathematical model descri…
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
In this article, a finite element model is implemented to analyze hydro-thermal convective flow in a porous medium. The mathematical model encompasses Darcy's law for incompressibl…
An efficient finite element method for computing the response of a strain-limiting elastic solid containing a v-notch and inclusions
Shylaja G., Kesavulu Naidu V., Venkatesh B. +1
Accurate triangulation of the domain plays a pivotal role in computing the numerical approximation of the differential operators. A good triangulation is the one which aids in redu…
Preferential stiffness and the crack-tip fields of an elastic porous solid based on the density-dependent moduli model
Hyun C. Yoon, S. M. Mallikarjunaiah, Dambaru Bhatta
In this paper, we study the preferential stiffness and the crack-tip fields for an elastic porous solid of which material properties are dependent upon the density. Such a descript…
Multiscale model reduction technique for fluid flows with heterogeneous porous inclusions
Maria Vasilyeva, S. M. Mallikarjunaiah, D. Palaniappan
Numerical treatment of the problem of two-dimensional viscous fluid flow in and around circular porous inclusions is considered. The mathematical model is described by Navier-Stoke…
A finite element model for a coupled thermo-mechanical system: nonlinear strain-limiting thermoelastic body
Hyun C. Yoon, Karthik K. Vasudeva, S. M. Mallikarjunaiah
We investigate a specific finite element model to study the thermoelastic behavior of an elastic body within the context of nonlinear strain-limiting constitutive relation. As a sp…