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Research

"Nothing is harder to surmount than a corpus of true but too special knowledge; to reforge the tradition of his forebears is the greatest originality a man can have."

Clifford Truesdell

Research Philosophy and Interests

The problem of describing motion and forces in solids has fascinated humans since the dawn of civilization. Over many centuries, this field called Mechanics has tremendously advanced through multiple paradigm shifts, from purely experimental investigations before Rennaisance to analytical equations as the primary tools up to the 1950s, followed by the era of computational mechanics and, most recently, the paradigm of data-driven methods. Each new paradigm brought new methods and tools to advance our knowledge further of mechanics. Our laboratory focuses on utilizing these four paradigms of mechanics: experimental mechanics, anaytical mechanics, computational mechanics, and data-driven mechanics, to develop novel approaches and tools to understand the mechanics of soft materials for targeted applications.

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Our research utilizes and develops the following methods and tools:
Experimental: Environment-controlled quasi-static and high strain rate Kolsky-bar mechanical testing. Our experimental setups include novel test fixtures, high-speed imaging, full-field deformation mapping tools (e.g., Digital Image Correlation (DIC)), and environment-control systems.
Analytical: Hyperelasticity; finite viscoelasticity; damage mechanics.
Computational: Finite element method; Material point method.
Data-driven: Surrogate modeling (including data-driven constitutive models); Bayesian experimental design and parameter estimation; Uncertainty quantification and sensitivity analysis.

Active Research Projects

Extreme Mechanics of the Human Brain via Integrated In vivo - Ex vivo Experiments
(A collaborative project with Dr. Curtis Johnson (University of Delaware) and Dr. Michael Shields (Johns Hopkins University))

Funding Agency:

Student researchers:

The National Science Foundation (NSF)

Siddarth Sriram and Carson Cooper

Description:

The primary objective of this project is to understand the high strain rate mechanics of the living human brain. As direct experiments that may risk human safety are ethically impossible, a uniquely coupled multi-fidelity experimental–modeling framework that combines information from in vivo and ex vivo tests is being developed to discover mechanical property maps of the living brain.

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Machine Learning–Guided Exploration and Optimization of the Fracture Resistance of Additively-Manufactured Shape Memory Polymers

Funding Agency:

Student researchers:

Louisiana Board of Regents (LABoR) and NSF

Yogesh Chandrashekar

Description:

The primary objective of this project
is to understand the effect of additive manufacturing on the fracture resistance of thermoset SMPs (or TSMPs), and to develop guidelines for optimizing their fracture resistance.

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Damage Mechanics of Tendon

Funding Agency:

Student researchers:

LSU

Yogesh Chandrashekar and Angelina Jorgenson

Description:

The primary objective of this research is to develop constitutive models to capture the rate-dependent damage in tendons under large deformations.

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Funding Support

We are grateful for funding support from the following agencies.

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