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.

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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.