“Study without desire spoils the memory, and it retains nothing that it takes in.”

― Leonardo da Vinci

Ph.D. Thesis:

Study of evolving microstructure in shape memory alloy reinforced composites during thermo-mechanical deformation and failure using continuum-based particle dynamics.  (Link to the summary of Ph.D. thesis)

Abstract: Shape memory alloy (SMA) wire reinforced smart composites are proven to be beneficial in regards to damping, impact resistance, shape morphing and crack closure among others. Therefore, smart composites are widely utilized in various applications in automobiles, aerospace, sports, and energy harvesting. These applications may employ the pseudoelasticity or shape memory effect of SMA reinforcements. These advantageous properties are due to the diffusionless microscopic solid-to-solid phase transformation resulting from thermo-mechanical loading. Hence it is important to understand the influence of evolving microstructure of reinforcement on the macroscopic response of the composites. A novel discrete particle method that employs continuum-based material description is used for analysis. This new discrete algorithm can effectively model discontinuous field variables that enable us to study problems such as phase transformations and material discontinuities. Critical composite responses such as stress-strain hysteresis, debonding failure, strain fields, and crack propagation near the bi-material interface are analyzed in detail with accompanying microstructure. The model is efficacious in modeling thermal-mechanical cracks, crack branching at higher loading rates, and elastic wave dispersion in a wide range of heterogeneous non-linear elastic materials. 

Why do we look at the microstructure?

SMA stress-induced martensitic transformation

Influence of stress-induced Austenite to Martensitic (red-colored region) phase transformation on stress-strain hysteresis behavior in a pseudoelastic wire.

(The wire is loaded uniaxially and the resulting stress-strain response is given.)

Pseudoelasticity

Phase transformation is reversible back to the parent Austenite phase upon unloading. The strain is fully recovered.

(The wire is eventually unloaded uniaxially and the resulting stress-strain response is given.)

 

SMA Detwinning

Martensitic detwinning through ledge propagation during applied load, and resulting macroscopic behavior in twinned Martensitic material.

(The wire is loaded and forcefully unloaded uniaxially and the stress-strain response is given.)

Other interesting upcoming projects

(Mode-I loading on a square plate with notch)

Elastic waves

Stiffness influences elastic wave propagation.

Elastic waves ripples at different velocities. The right one has twice the modulus of the left one. Waves propagate faster in a stiffer medium. 

Wave velocity in solids, v = (Y/ρ)1/2 where Y is Young's modulus &  ρ is the density of the material, is well known. However,  simulated these waves in solids before?

Crack branching

Loading rates influence the crack patterns. 

At higher loading rates, the material tends to dissipate more energy by creating more surface resulting in crack branching.

(Mode-I loading on a rectangular plate with notch.)

Cracks & Waves

Higher the elastic waves, the material creates 

more surface to dissipate the energy faster resulting in crack branching

(Mode-II loading on a square plate with notch; Shear strain evolution is shown.)

 

Thermal diffusion

.The thermal diffusion in a vertical bar from top to bottom is described by a particle-based model.

(θ=100°C @ top; θ=25°C @ bottom at start T0.)

Thermal crack

Cracks during quenching from various higher temperatures.

Higher the temperature differences, the higher the crack density!

Crack Periodicity

Cracks of similar depth appear in a harmonic fashion.

An experimental comparison is shown. 

NMAMLD.pdf

Methodolody

Developed by Mahendaran Uchimali et al.

Slides Prepared by Prof. Srikanth Vedantam for the International Symposium on Nonlocal Mechanics Approaches for Modeling Localized Deformations (NMAMLD 2022).

07th-08th June 2022, IIT Hyderabad.

ABAQUS material subroutine (UMAT) for rate-dependent pseudoelastic material

Johnson-Cook type empirical fit of high strain rate behavior of SMA and implemented in ABAQUS using UMAT

The parameters used in the empirical fit of the rate-dependent constitutive equation for SMA.
The stress(Mpa)-strain(%) response of uniaxial tension using the subroutine in ABAQUS for various strain rates.

Experimental work (UnderGrad project)

Fibers extracted from locally available sources
Final product through compression molding
Installation as a door for workshop after testing

Composite made of long fibers of Sansevieria sandwiched between Coconut sheath.

Resistant to surface fiber damage and splitting; Improved tribological behaviors.  

Layers of different orientation sandwiched together to better the performance.