My broader research interests lie in my firm belief that the amalgamation of mechanics, mathematics, and computing presents a rigorous and rational foundation for approaching complex engineering problems. In particular, I focus on developing and implementing multiscale analysis and topology optimization methods, overcoming the computational and theoretical limitations of current approaches. My goal is to avail simulations to practitioners in an interdisciplinary setting to actualize applications from structural engineering, additive manufacturing, and biomechanics.
EDUCATION
Ph.D. in Civil Engineering, 2021, University of Minnesota Twin Cities
M.Sc. in Civil Engineering, 2018, University of Minnesota Twin Cities
B.Tech in Civil Engineering, 2015, Indian Institute of Technology Roorkee
RESEARCH, TEACHING, or OTHER INTERESTS
Civil and Structural Engineering, Computational Mechanics, Mechanics of Materials, Multidisciplinary
A multiscale optimization framework for bone remodelling: integrating material and structural adaptations across hierarchical scales Avinandan Modak, Arijit Sau, Rajib Chowdhury, Tarun Gangwar Journal of the Royal Society Interface, 2025 Bone exhibits a hierarchical organization across multiple length scales, integrating functional properties through adaptive remodelling mechanisms. In this article, we present a concurrent material–structure optimization framework that identifies optimal macroscale bone density and microstructural configurations, including collagen and hydroxyapatite distribution and lacunae orientation, across the length scales in bone’s hierarchical organization. Our framework formulates a compliance minimization problem with coupled material and structure optimization sub-problems and leverages a continuum micromechanics-based homogenization approach to efficiently capture bone’s hierarchical material behaviour. This enables computationally tractable optimization independent of the number of hierarchical scales, addressing key limitations of conventional remodelling approaches. We apply the framework to a human proximal femur under realistic musculoskeletal loading conditions and demonstrate its ability to capture self-optimizing mechanisms consistent with physiological adaptation. While not intended as a clinical diagnostic tool at this stage, the framework provides a physics-based rationale for estimating microstructural distributions of bone constituents and highlights deviations that may inform future assessments of bone quality. These findings offer a foundation for targeted therapeutic strategies, personalized diagnostics and regenerative medicine applications.
Connecting continuum poroelasticity with discrete synthetic vascular trees for modelling liver tissue Adnan Ebrahem, Etienne Jessen, Marco F. P. ten Eikelder, Tarun Gangwar, Michał Mika, et al. Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences, 2024 The modelling of liver tissue across multiple length scales constitutes a significant challenge, primarily due to the multiphysics coupling of mechanical response and perfusion within the complex multiscale vascularization of the organ. In this paper, we present a modelling framework that connects continuum poroelasticity and discrete vascular tree structures to model liver tissue across disparate levels of the perfusion hierarchy. The connection is achieved through a series of modelling decisions, which include source terms in the pressure equation to model inflow from the supplying tree, pressure boundary conditions to model outflow into the draining tree, and contact conditions to model surrounding tissue. We investigate the numerical behaviour of our framework and apply it to a patient-specific full-scale liver problem that demonstrates its potential to help assess surgical liver resection procedures.
Thermodynamically consistent concurrent material and structure optimization of elastoplastic multiphase hierarchical systems Tarun Gangwar, Dominik Schillinger Structural and Multidisciplinary Optimization, 2023 The concept of concurrent material and structure optimization aims at alleviating the computational discovery of optimum microstructure configurations in multiphase hierarchical systems, whose macroscale behavior is governed by their microstructure composition that can evolve over multiple length scales from a few micrometers to centimeters. It is based on the split of the multiscale optimization problem into two nested sub-problems, one at the macroscale (structure) and the other at the microscales (material). In this paper, we establish a novel formulation of concurrent material and structure optimization for multiphase hierarchical systems with elastoplastic constituents at the material scales. Exploiting the thermomechanical foundations of elastoplasticity, we reformulate the material optimization problem based on the maximum plastic dissipation principle such that it assumes the format of an elastoplastic constitutive law and can be efficiently solved via modified return mapping algorithms. We integrate continuum micromechanics based estimates of the stiffness and the yield criterion into the formulation, which opens the door to a computationally feasible treatment of the material optimization problem. To demonstrate the accuracy and robustness of our framework, we define new benchmark tests with several material scales that, for the first time, become computationally feasible. We argue that our formulation naturally extends to multiscale optimization under further path-dependent effects such as viscoplasticity or multiscale fracture and damage.
Multi-scale modelling predicts plant stem bending behaviour in response to wind to inform lodging resistance Tarun Gangwar, Alexander Q. Susko, Svetlana Baranova, Michele Guala, Kevin P. Smith, et al. Royal Society Open Science, 2023 Lodging impedes the successful cultivation of cereal crops. Complex anatomy, morphology and environmental interactions make identifying reliable and measurable traits for breeding challenging. Therefore, we present a unique collaboration among disciplines for plant science, modelling and simulations, and experimental fluid dynamics in a broader context of breeding lodging resilient wheat and oat. We ran comprehensive wind tunnel experiments to quantify the stem bending behaviour of both cereals under controlled aerodynamic conditions. Measured phenotypes from experiments concluded that the wheat stems response is stiffer than the oat. However, these observations did not in themselves establish causal relationships of this observed behaviour with the physical traits of the plants. To further investigate we created an independent finite-element simulation framework integrating our recently developed multi-scale material modelling approach to predict the mechanical response of wheat and oat stems. All the input parameters including chemical composition, tissue characteristics and plant morphology have a strong physiological meaning in the hierarchical organization of plants, and the framework is free from empirical parameter tuning. This feature of our simulation framework reveals the multi-scale origin of the observed wide differences in the stem strength of both cereals that would not have been possible with purely experimental approach.
Concurrent material and structure optimization of multiphase hierarchical systems within a continuum micromechanics framework Tarun Gangwar, Dominik Schillinger Structural and Multidisciplinary Optimization, 2021 We present a concurrent material and structure optimization framework for multiphase hierarchical systems that relies on homogenization estimates based on continuum micromechanics to account for material behavior across many different length scales. We show that the analytical nature of these estimates enables material optimization via a series of inexpensive “discretization-free” constraint optimization problems whose computational cost is independent of the number of hierarchical scales involved. To illustrate the strength of this unique property, we define new benchmark tests with several material scales that for the first time become computationally feasible via our framework. We also outline its potential in engineering applications by reproducing self-optimizing mechanisms in the natural hierarchical system of bamboo culm tissue.