Welcome!
I am passionate about:
Pursuing pure/basic/fundamental research in theoretical and computational mechanics,
Applying the new knowledge to address real-life challenges and
Transforming it into a commercial product.
I primarily work in the area of nonlocal dynamics. My research centers on the equations, shown below, that I have invented. The details about them can be found in my publications [1, 2].
From a generic perspective, my equations are based on modeling shared and unshared information among physical and conceptual entities.
The ideology behind them is capable of addressing challenging problems in many areas of subjective and objective sciences as identified in my Ph.D. thesis.
In materials modeling, these equations:
predict deformation and damage dynamics of materials at multiple scales,
establish a robust bridge between continuum mechanics and molecular dynamics,
are able to model materials with stochastically varying material properties,
can address many challenges related to material degradation and crack propagation identified in the open literature.
Some predictive results of elastoplastic deformation modeling of an Aluminum alloy are demonstrated below.
Al 7075 T651 (Extruded):
Young’s Modulus E = 71.6 GPa, Failure Stress = 665.8 MPa, Faiure Strain = 0.115, Yield Stress = 538.6 MPa, Yield Strain = 0.009522, Mass Density = 2810 kg/m^3, Poisson’s Ratio = 0.33, Ramberg-Osgood Parameters n = 17.8702, K = 0.002
Convergence of the Stress-Strain Curve to the corresponding Ramberg-Osgood Equation.
Retrieval of Young's Modulus of Elasticity via
0.2% Offset: 543.3/0.007488 = 72.556 GPa.
Steady-State Cyclic Stress-Strain Behavior for Several Cycles.
Retrieval of Cyclic strain hardening exponent and Cyclic stress-strain coefficient: 0.06244 and 791.6 MPa, respectively. The experimental values obtained are 0.0662 and 792.8 MPa.
[1] Desai, S. A Novel Equation of Motion to Predict Elastoplastic Deformation of 1-D Stochastic Bars. J Peridyn Nonlocal Model (2023), https://doi.org/10.1007/s42102-023-00112-w
[2] Desai, S. A Novel Notion of Local and Nonlocal Deformation-Gamuts to Model Elastoplastic Deformation. J Peridyn Nonlocal Model (2022). https://doi.org/10.1007/s42102-021-00076-9
An excerpt from my thesis: Significance of Local and Nonlocal Deformation Gamuts