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Research

"Mechanics is the paradise of the mathematical sciences, because by means of it one comes to the fruits of mathematics."  - Leonardo da Vinci

I am interested in multi-scale and multi-physics analysis of physical systems with the epicenter set at mechanics.  My research aspiration lies in a broad area of science starting from static and dynamic response of structures to mechanical aspects of computational material science including cutting edge developments of nano-sciences and bio-inspired structural systems. The recent research focus of my group is on the emerging fields of stochastic multi-scale mechanics of engineered materials (leading to extreme yet useful mechanical properties which are not available in natural materials) and structures such as advanced multi-functional composites and mechanical metamaterials including the aspects of uncertainty quantification and reliability analysis. My research activities are directly relevant to advanced aerospace, mechanical and civil industries at the materials and structures level. My expertise in the fields of sensitivity analysis, uncertainty quantification, reliability analysis, homogenization, optimization, machine learning and surrogate modelling often adds new dimensions to these research activities.

During my doctoral research, I worked on spatially varying (quasi-periodic) lattice metamaterials to develop analytical and numerical frameworks for obtaining equivalent mechanical properties and characterizing dynamics and stability of the complex random lattices including effect of visco-elasticity (collaborations with University of Texas at Austin, USA and University of Liverpool, UK). I have proposed a novel concept of random field based stochastic representative volume element (SRVE) approach to analyze spatially random systems. My doctoral research extended to a more fundamental development related to nano-scale mechanical metamaterials concerning two dimensional materials and heterostructures (collaborations with New Jersey Institute of Technology, USA, Stanford University, USA and Missouri University of Science and Technology, USA). The doctoral thesis was recognized as the best engineering research work among all the departments and colleges of the university.

 

 

 

 

 

 

 

 

In the postdoctoral research at Oxford, I worked on the concept of origami-inspired deployable metamaterials that offers an exciting possibility for the development of a new class of shape-changing metamaterials with programmable mechanical properties (collaborations with Tianjin University, China and University of Queensland, Australia).  I am actively involved in stochastic multi-scale analysis and uncertainty quantification of composite (including functionally graded materials and sandwich structures) materials and structures considering the effect of irregularities, different forms of progressive damages and operational conditions (collaborations with University of Aberdeen, UK, University of Notre Dame, USA, Polymerforschung Dresden e. V., Germany and Indian Institute of Technology Roorkee, India). This research, funded by the aerospace company Embraer, helped me to gain a crucial industrial perspective of my research activities.

 

Another active field of my research is machine learning and surrogate modelling to efficiently deal with different computationally intensive problems related to structural analysis (with application in the fields of reliability analysis, uncertainty quantification and optimization). My master’s degree thesis in the area of surrogate based stochastic structural damage identification (inverse problem) was recognized as the best thesis in structural engineering with highest grade at Indian Institute of Technology Roorkee.  

Being passionately interested in almost each and every aspect of mechanics at multiple length-scales, I enjoy development of fundamental analytical and computational algorithms in relevant fields as well as application oriented research in the interdisciplinary realm of Aerospace, Mechanical and Civil Engineering. I am always keen to explore novel ideas and strengthen the footing of my earlier research activities. Please refer to my published works for more specific information and feel free to get in touch with me for further discussions.

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Research Sponsors

Highlights

 

This paper in Physical Review B shows the theoretical limits of negative elastic moduli in lattice  metamaterials under a dynamic condition for the first time. The closed form formulae can predict the onset of such negative moduli as a function of frequency and other system parameters. [Read full text]

Latest paper in Nanoscale probes the shear modulus of two-dimensional multiplanar nanostructures and heterostructures. Physics-based insightful results are presented for various classes of nanostructures and heterostructures. [Read full text

Our paper in International Journal of Engineering Science solves a decade-long aspiration for developing closed-form analytical solution of quasi-periodic lattices. A novel RUCE based concept is developed for this purpose. [Read full text]

This paper in Nature Scientific Reports develops mechanics-based analytical formulae for the in-plane elastic properties of nano-heterostructures. The analytical formulae are validated using molecular dynamics simulations. [Read full text

Our paper in Composite Structures develops a novel SRVE based semi-analytical framework for analyzing the effect of spatially-varying matrix cracking damage. The stochastic multi-scale dynamic behavior of a thin-walled composite beam is analyzed based on the proposed framework. [Read full text]

This paper in  International Journal of Mechanical Sciences presents a frequency domain homogenization approach for the effective mechanical behavior of visco-elastic lattice metamaterials with spatially random irregularity in structural geometry and the intrinsic material properties. [Read full text]

This paper in Composite Structures shows the effect of stochasticity in mechanical metamaterials. Randomly homogeneous and inhomogeneous form of stochasticity are considered  following an efficient analytical approach. [Read full text]

This paper in 2D Materials reports a first ever attempt to develop molecular mechanics based closed-form analytical derivation for the elastic moduli of multi-planar two-dimensional materials. We have proposed a new nano-structure based classification for such two-dimensional materials.  [Read full text]