

Services
Static and Dynamic FE Analysis
Linear and non-linear Static analysis
Implicit and explicit dynamics
Modal, Shock, and Vibration profiles
Linear and non-linear Buckling analysis
High-speed impact analysis, drop test simulations
Thermo-mechanical analysis and Heat transfer


Structured FE model of a hexagonally packed fiber-reinforced composite. The model was entirely generated usng Python scripting.
Stress Analysis and load path calculations
Analytical stress, strain and deflection calculations
First-order approximations for making informed design decisions




SEM image of a fracture surface on a 10-micron diameter glass fiber
Fracture mechanics - fatigue and failure analysis
Cohesive Zone models
VCCT techniques
Cyclic fatigue analysis and life estimations


2-D random packing of circular fibers with periodic boundaries created through custom Python scripting in Abaqus.
Simulation workflow automation (pre- and post- processing)
Customizing Solidworks, Abaqus, Ansys, Comsol workflows using custom scripting
End-to-end automation of design and simulation workflows
Open source CAD and FEA softwares
Simulation-assisted Design of Experiments
Reduce costly trials and testing cycles by using modeling
Design custom jigs and fixtures to improve experiment throughput


Novel fiber bending experiment under a confocal microscope to observe in-situ fiber breakage


Strain and stress distributions in a custom composite lay-up
Custom calculators and webapps
From high-level customer facing web apps, to detailed calculators for manufacturing and production engineers
Design optimization
Topology optimization
Shape and geometry optimization
Materials selection
Laminate stacking sequence


Topology optimization of a carbon fiber composite I-beam subject to 4-point bending


Custom laminate calculator built using classical laminate theory
Composite and laminate mechanics
Classical lamination theory
High performance glass and carbon fiber reinforced composites


Progression of fiber break clusters within a uni-directional composite generated in Matlab
Probabilistic Monte-Carlo simulations
Building digital twins
Modeling what-if scenarios
Defect mapping
Statistical reliability analysis
Uncertainty quantification
**Every image on this page is from projects that I have personally executed. Most of these are published in internationally-recognized peer-reviewed journals.
Professional Disclaimer: Mech & Math Modeling LLC provides advanced computational modeling, finite element analysis (FEA), and applied mathematics consulting services for research, development, and design optimization. Dr. Raja Ganesh is a computational scientist and mechanical engineering scholar (Ph.D.); however, neither Dr. Raja Ganesh nor Mech & Math Modeling LLC are licensed Professional Engineers (P.E.). We do not provide registered professional engineering services, public-safety-critical engineering opinions, or sealed/stamped engineering drawings. All simulation data, analyses, and models are intended strictly for internal product development, research validation, and optimization purposes.


