Abhinav Gupta

Indian Institute of Technology Roorkee | University of Roorkee · Department of Civil Engineering

Phase-field models (PFMs) have proven to accurately predict complex crack patterns such as crack branching, merging, and crack fragmentation, but they are computationally costly. This study stems from the high computational costs associated with non-adaptive PFMs for brittle fracture analysis, which require dense meshes. This makes training data ge...

This study presents a computationally efficient novel methodology to carry out structural topology optimization using isogeometric analysis. Isogeometric methods were introduced to provide an integrated framework for design and analysis by utilizing the CAD standard NURBS to discretize the field variables in the CAE stage, thereby minimizing time a...

This study proposes a control point density-based isogeometric topology optimization (ITO) using Polynomial splines over Hierarchical T-meshes (PHT-Splines).

This study proposes a continuous density-field based isogeometric topology optimization (ITO) using Polynomial splines over Hierarchical T-meshes (PHT-Splines). Taking the benefit of isogeometric methods, the design density values for the mesh are defined using spline basis functions as a continuous density function (CDF) through the control points...

An error estimator is proposed to carry out adaptive mesh refinement (AMR) for phase-field fracture (PFF) simulation. The proposed error estimator works with the mesh-induced crack (MIC) method for modeling initial cracks, resulting in significant gains in the AMR algorithm’s computational efficiency. The error estimator is derived using the iterat...

In this presentation, we will talk about the capabilities of FEniCS to efficiently implement the finite element approach to solve the large-scale topology optimization problem. Topology optimization is a novel technique that aims to find the optimum distribution of the material in a design domain such that an objective function is minimized under c...

Phase-field models (PFMs) have proven to accurately predict complex crack patterns like crack branching, merging, and crack fragmentation, but they are computationally costly. Adaptive mesh refinement (AMR) algorithms based on nodal damage are recently developed to reduce computational expense. However, these AMR algorithms are unable to simulate t...

This paper presents a novel adaptive isogeometric topology optimization methodology using the Geometry Independent Field approximaTion (GIFT) framework for Polynomial splines over Hierarchical T-meshes (PHT)-splines. Under the philosophy of the GIFT framework, industry-standard multi-patch Non-Uniform Rational B-Splines (NURBS) definition of the ge...

To propose a methodology to incorporate isogeometric analysis (IGA) into an existing FEM package, thereby increasing its capabilities multifold. IGA is an extension to the classical FEM, one major advantage of it being the potential to achieve C^1 continuity between the elements, which makes it suitable for analysis of shell and plate structures, v...

The actual product development cycle involves modelling, analysis, and repeating first two tasks by modifying the design until it is suitable for intended task. Since from the very first publication of the Isogeometric analysis (IGA), it has got the attention of researchers and engineers all around the world with its capabilities for making a seaml...

Metamaterials are synthetic materials designed to have unique properties like negative Poisson ratio (NPR). NPR metamaterials, also known as auxetics, offer significant value in applications that require high energy absorption, e.g., packing materials, medical knee pads, footwear. However, material uncertainty arising out of manufacturing tolerance...

The main objective of this talk is to explain the complete mesh processing pipeline for complex geometry. Starting from modeling of a mesh geometry and marking different boundary conditions in Gmsh, then will discuss about the benefits of using Mesh functions and Mesh Value Collections in FEniCS, and we will also discuss how to use the number tags...

This talk aims to provide beginners with proper guidelines for handling large-scale systems in FEniCS. We investigate the work cost and the storage cost related to different components of the program. We will also comment on good programming practices that allow for a drastic reduction in program run-time. Furthermore, we present our study on a top...

This paper presents a 55-line code written in python for 2D and 3D topology optimization (TO) based on the open-source finite element computing software (FEniCS), equipped with various finite element tools and solvers. PETSc is used as the linear algebra back-end, which results in significantly less computational time than standard python libraries...

Fracture of hyperelastic materials such as synthetic rubber, hydrogels, textile fabrics is an essential problem in many engineering fields. The computational simulation of such a fracture is complicated, but the use of phase field models (PFMs) is promising. Indeed, in PFMs, sharp cracks are not treated as discontinuities; instead, they are approxi...

Fracture of hyperelastic materials such as synthetic rubber, hydrogels, textile fabrics is an essential problem in many engineering fields. The computational simulation of such a fracture is complicated, but the use of phase field models (PFMs) is promising. Indeed, in PFMs, sharp cracks are not treated as discontinuities; instead, they are approxi...

In this work, we propose an auto-adaptive displacement stepping algorithm to auto-adaptively adjust the displacement step size while solving the quasi-static brittle fracture propagation problem with the phase-field method. We employ a step size controller based on an 'a posteriori' error estimator to achieve adaptivity in the displacement step siz...