activity
20202026
most citedA Finite Element Model for Hydro-thermal Convective Flow in a Porous Medium: Effects of Hydraulic Resistivity and Thermal Diffusivity

2 citations · 13 across the 24 of their papers we have counts for

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Showing 2025Show all

15 papers · 1 filter

math.NA2025★ 1 cited

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…

math.NA2025

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…

math.NA2025

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…

math.NA2025

-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…

math.NA2025

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…

math.NA2025★ 1 cited

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…