Welcome to the Advanced Computational Mechanics Lab in the Department of Mechanical Engineering at IIT Kharagpur. Our research focuses on the development of advanced computational methods and numerical algorithms for analyzing the mechanics of complex engineering and biological systems. Areas of interest include higher-order theories of curved structures, nonlinear solid and fluid mechanics, finite element method development, computational plasticity, fracture mechanics, biomechanics, and blood flow simulations. By combining mechanics, mathematics, and scientific computing, we aim to understand the behavior of advanced materials, biological tissues, and physiological systems under various mechanical stimuli, with applications in healthcare technologies, cardiovascular mechanics, biomaterials, structural engineering, and next-generation computational design and simulation tools.
Within our broad focus, we investigate a diverse range of topics, including:
Nonlinear Elasticity and Large deformation: Understanding how soft materials deform and respond nonlinearly under different conditions.
Higher-Order Shell and Rod Theories of Soft Materials: Developing advanced theories to capture the intricate behaviors of structures, such as shells and rods made of soft material.
Cosserat Continua: Exploring nonlinear deformations of the distinct characteristics of Cosserat continua.
Computational Plasticity: Simulating plastic deformation of various kinds of structures.
Fracture Analysis in Soft Materials: Examining fracture and failure in soft materials for applications in materials science and biomedical engineering.
Computational Viscoelasticity: Studying time-dependent behaviors crucial for predicting material responses over extended periods.
Computational fluid dynamics - Blood flow in deformable arteries and other fluid mechanics simulations via various advanced finite element techniques. Code development in FEM in fluid mechanics.
Finite Element Modeling and software development: Utilizing finite element modeling, we focus on developing high-performing code for structural analysis and its deployment as software.
We invite researchers and students from diverse backgrounds to collaborate and join our lab. Interested candidates seeking Ph.D. opportunities in these areas may apply through the institute's Ph.D. program in the department of Mechanical Engineering.