Sundararajan Natarajan
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View article: Eig-PIELM: A Mesh-Free Approach for Efficient Eigen-Analysis with Physics-Informed Extreme Learning Machines
Eig-PIELM: A Mesh-Free Approach for Efficient Eigen-Analysis with Physics-Informed Extreme Learning Machines Open
In this work, a novel Eig-PIELM framework is proposed that extends physics-informed extreme learning machine for an efficient and accurate solution of linear eigenvalue problems. The method reformulates the governing differential equations…
View article: Image‐Based Flaw Identification Using Convolutional Neural Network
Image‐Based Flaw Identification Using Convolutional Neural Network Open
Flaw detection in structures is crucial for ensuring structural integrity and safety across various engineering applications. Traditional nondestructive evaluation (NDE) techniques often face challenges in accurately identifying and charac…
View article: Numerical Simulation of Transient Heat Conduction With Moving Heat Source Using Physics Informed Neural Networks
Numerical Simulation of Transient Heat Conduction With Moving Heat Source Using Physics Informed Neural Networks Open
In this article, the physics informed neural networks (PINNs) is employed for the numerical simulation of heat transfer involving a moving source under mixed boundary conditions. To reduce computational effort and increase accuracy, a new …
View article: Bioinspired dampers: Meniscus-inspired energy dissipation components
Bioinspired dampers: Meniscus-inspired energy dissipation components Open
Nature provides examples of functionally graded porous structures that absorb energy effectively, such as the knee meniscus. The meniscus features a three-layered structure with varying porosity from the outer to inner layers. The tissue's…
View article: An extensible set of parent elements to facilitate the isoparametric concept for polygons at finite strains: A scaled boundary finite element approach
An extensible set of parent elements to facilitate the isoparametric concept for polygons at finite strains: A scaled boundary finite element approach Open
View article: Virtual element approximations of the time-fractional nonlinear convection-diffusion equation on polygonal meshes
Virtual element approximations of the time-fractional nonlinear convection-diffusion equation on polygonal meshes Open
We extend the Virtual Element Method to a two-dimensional unsteady nonlinear convection-diffusion equation characterized by a fractional-order derivative with respect to the time variable. Our methodology is based on three fundamental tech…
View article: On the low frequency flexural band gaps of a metamaterial plate with low porosity
On the low frequency flexural band gaps of a metamaterial plate with low porosity Open
This paper demonstrates numerically and experimentally that it is possible to tailor flexural band gaps in the low-frequency regime by appropriate choice of cutout characteristics. The finite element method is used to obtain the numerical …
View article: Fatigue crack growth in functionally graded materials using an adaptive phase field method with cycle jump scheme
Fatigue crack growth in functionally graded materials using an adaptive phase field method with cycle jump scheme Open
View article: Adaptive scaled boundary finite element method for hydrogen assisted cracking with phase field model
Adaptive scaled boundary finite element method for hydrogen assisted cracking with phase field model Open
View article: Optimisation of open pit slope design considering groundwater effects using particle swarm optimisation and scaled boundary finite element method
Optimisation of open pit slope design considering groundwater effects using particle swarm optimisation and scaled boundary finite element method Open
View article: On the use of scaled boundary shape functions in adaptive phase field modeling of brittle fracture
On the use of scaled boundary shape functions in adaptive phase field modeling of brittle fracture Open
This paper addresses the numerical modeling of brittle fracture using a phase field approach. We propose solving the coupled phase field / displacement problem by employing the scaled boundary finite element method, which facilitates the u…
View article: An artificial neural network based deep collocation method for the solution of transient linear and nonlinear partial differential equations
An artificial neural network based deep collocation method for the solution of transient linear and nonlinear partial differential equations Open
A combined deep machine learning (DML) and collocation based approach to solve the partial differential equations using artificial neural networks is proposed. The developed method is applied to solve problems governed by the Sine–Gordon e…
View article: A Stress-Based Gradient Elasticity in the Smoothed Finite Element Framework
A Stress-Based Gradient Elasticity in the Smoothed Finite Element Framework Open
This paper presents two-dimensional boundary value problems of the stress-based gradient elasticity within the smoothed finite element method (S-FEM) framework. Gradient elasticity is introduced to address the limitations of classical elas…
View article: A Non-Intrusive Stochastic Phase-Field for Fatigue Fracture in Brittle Materials with Uncertainty in Geometry and Material Properties
A Non-Intrusive Stochastic Phase-Field for Fatigue Fracture in Brittle Materials with Uncertainty in Geometry and Material Properties Open
View article: Bioinspired Dampers: Meniscus-Inspired Energy Dissipation Components
Bioinspired Dampers: Meniscus-Inspired Energy Dissipation Components Open
View article: Preface to special issue: advances in modeling of multifunctional material/structure
Preface to special issue: advances in modeling of multifunctional material/structure Open
View article: Quasi-brittle and Brittle Fracture Simulation Using Phase-field Method based on Cell-based Smoothed Finite Element Method
Quasi-brittle and Brittle Fracture Simulation Using Phase-field Method based on Cell-based Smoothed Finite Element Method Open
This study introduces a smoothed finite-element implementation into the phase-field framework. In recent years, the phase-field method has recieved considerable attention in crack initiation and propagation since the method needs no furthe…
View article: Slope stability analysis considering fully saturated poro-elasto-plasticity by an image-based scaled boundary finite element approach
Slope stability analysis considering fully saturated poro-elasto-plasticity by an image-based scaled boundary finite element approach Open
Open pit mines are large geotechnical structures. Their stability is an important consideration in the mining industry. The deformations of geotechnical structures often involve the coupled interaction between the pore fluid pressure and t…
View article: Author Index
Author Index Open
potentials 332 b Bandedness 31 BCC 332 BDM 338, 339 BEM 218 Bi-material problem bar 38 Biofilm 257 Blending 24, 31 enhanced assumed strain 113 region 31 Blending region 31 Bordering technique 31 Boundary conditions see also Shifting 80 Dir…
View article: Introduction
Introduction Open
Physical systems are often modeled using partial differential equations (PDEs). The exact solution or closed form or analytical solutions to these PDEs is only available in special cases for specific geometries. Numerical methods can be us…
View article: Advanced Topics
Advanced Topics Open
This chapter discusses different aspects and advancements of the extended finite element method (XFEM). It starts by discussing some of the more advanced integration techniques for the enriched elements. The chapter continue by discussing …
View article: Applications
Applications Open
In this chapter, the authors provide some examples of applications of extended finite element method (XFEM) for problems with weak/strong discontinuities and singularities, viz., linear elastic homogeneous isotropic fracture mechanics; ani…
View article: A data-driven reduced-order surrogate model for entire elastoplastic simulations applied to representative volume elements
A data-driven reduced-order surrogate model for entire elastoplastic simulations applied to representative volume elements Open
This contribution discusses surrogate models that emulate the solution field(s) in the entire simulation domain. The surrogate uses the most characteristic modes of the solution field(s), in combination with neural networks to emulate the …
View article: Polytopal composite finite elements for modeling concrete fracture based on nonlocal damage models
Polytopal composite finite elements for modeling concrete fracture based on nonlocal damage models Open
The paper presents an assumed strain formulation over polygonal meshes to accurately evaluate the strain fields in nonlocal damage models. An assume strained technique based on the Hu-Washizu variational principle is employed to generate a…
View article: Construction of generalized shape functions over arbitrary polytopes based on scaled boundary finite element method's solution of Poisson's equation
Construction of generalized shape functions over arbitrary polytopes based on scaled boundary finite element method's solution of Poisson's equation Open
Summary A general technique to develop arbitrary‐sided polygonal elements based on the scaled boundary finite element method is presented. Shape functions are derived from the solution of the Poisson's equation in contrast to the well‐know…
View article: On the fractional transversely isotropic functionally graded nature of soft biological tissues: Application to the meniscal tissue
On the fractional transversely isotropic functionally graded nature of soft biological tissues: Application to the meniscal tissue Open
This paper focuses on the origin of the poroelastic anisotropic behaviour of the meniscal tissue and its spatially varying properties. We present confined compression creep test results on samples extracted from three parts of the tissue (…
View article: Adaptive phase-field modelling of fracture propagation in poroelastic media using the scaled boundary finite element method
Adaptive phase-field modelling of fracture propagation in poroelastic media using the scaled boundary finite element method Open
A scaled boundary finite element-based phase field formulation is proposed to model two-dimensional fracture in saturated poroelastic media. The mechanical response of the poroelastic media is simulated following Biot's theory, and the fra…
View article: On the fractional transversely isotropic functionally graded nature of soft biological tissues
On the fractional transversely isotropic functionally graded nature of soft biological tissues Open
This paper focuses on the origin of the poroelastic anisotropic behaviour of the meniscal tissue and its spatially varying properties. We present confined compression creep test results on samples extracted from three parts of the tissue (…
View article: Adaptive modelling of dynamic brittle fracture - a combined phase field regularized cohesive zone model and scaled boundary finite element approach
Adaptive modelling of dynamic brittle fracture - a combined phase field regularized cohesive zone model and scaled boundary finite element approach Open
View article: Thermoelastic fracture analysis of functionally graded materials using the scaled boundary finite element method
Thermoelastic fracture analysis of functionally graded materials using the scaled boundary finite element method Open