Advanced Non Linearities
Exploring the complexities of non-linear behaviors in engineering simulations
This module covers key aspects of structural non-linearities, including geometrical non-linearities, plasticity, hyperelasticity, viscoelasticity, and rate-dependent plasticity. Each assignment uses MATLAB and ANSYS to simulate real-world engineering problems and gain insights into non-linear structural behaviors.
Key assignments and simulations
Introduction & Geometrical Non-Linearities
Focused on non-linear structural behavior caused by large deformations. Using the arc-length method in ANSYS, this assignment tracked buckling responses under various conditions, demonstrating the sensitivity of structures to initial imperfections.(Homework 1, Chapters 1 & 2)
Plasticity
Explored plastic deformation in materials through isotropic and kinematic hardening models. The assignment analyzed stress accumulation and ratcheting in materials subjected to cyclic loading, focusing on yielding behavior and plastic strain evolution.(Homework 2, Chapter 3)
Hyperelasticity
Modeled hyperelastic materials using Neo-Hookean and Mooney-Rivlin formulations to simulate large deformations under biaxial loading conditions. This MATLAB-based assignment explored incompressible material behavior during extreme deformation.(Homework 3, Chapter 4)
Viscoelasticity
Investigated time-dependent material behavior, including creep and stress relaxation, using the Kelvin-Voigt and Maxwell models. The focus was on modeling viscoelastic deformation over time and understanding the material's response to long-term loading.(Homework 4, Chapter 5)
Rate-dependent Plasticity: Viscoplasticity and Creep
Analyzed viscoplastic materials subjected to constant stress over time. The assignment explored rate-dependent behaviors, focusing on creep phenomena and the Perzyna model for viscoplasticity. Simulations demonstrated how materials deform under long-term load and high-temperature conditions.(Homework 5, Chapter 6)
This module provided an in-depth exploration of advanced non-linearities in structural systems. Through MATLAB and ANSYS simulations, students gained insights into how large deformations, plasticity, viscoelasticity, and viscoplasticity impact the stability and performance of materials in engineering applications.