Computational Mechanics & Artificial Intelligence Lab
Nick Napoleon Vlassis is an Assistant Professor in the Department of Mechanical & Aerospace Engineering at Rutgers University.
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Geometric Deep Learning for Computational Mechanics Part I: Anisotropic Hyperelasticity
Geometric Deep Learning for Computational Mechanics Part II: Graph Embedding for Interpretable Multiscale Plasticity
Sobolev Training of Thermodynamic-Informed Neural Networks for Interpretable Elasto-Plasticity Models with Level Set Hardening
Molecular Dynamics Inferred Transfer Learning Models for Finite-Strain Hyperelasticity of Monoclinic Crystals: Sobolev Training and Validations Against Physical Constraints
Component-Based Machine Learning Paradigm for Discovering Rate-Dependent and Pressure-Sensitive Level-Set Plasticity Models
Denoising diffusion algorithm for inverse design of microstructures with fine-tuned nonlinear material properties
nick.vlassis@rutgers.edu
16:650:550 Mechanics of Materials - Course Syllabus
Lectures: Monday and Wednesday, 7:30 PM – 8:50 PM, Hill Center 009
Pre-requisite:
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Instructor:
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14:650:291 Mechanics of Materials
Nikolaos N. Vlassis, Assistant Professor
ENG A-200
848-445-5517
nick.vlassis@rutgers.edu
https://canvas.rutgers.edu
Wednesdays 2:00-4:00 PM or by appointment, A200
Nikolaos N. Vlassis, Assistant Professor
ENG A-200
848-445-5517
nick.vlassis@rutgers.edu
https://canvas.rutgers.edu
Wednesdays 2:00-4:00 PM or by appointment, A200
Recommended Textbooks:
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Arthur P. Boresi, Richard J. Schmidt, Advanced Mechanics of Materials, 6th Edition, Wiley, 2002
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Ansel C. Ugural, Saul K. Fenster, Advanced Mechanics of Materials and Applied Elasticity, Prentice Hall, 2011
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W. Michael Lai, David Rubin, Erhard Krempl, Introduction to Continuum Mechanics, Elsevier, 2010
Course Outline: 12 Weeks of Lectures + 10 HWs + 1 Midterm + Final Exam
Method of Evaluation:
Homework 50%
In-class Midterm 20%
In-class Final Exam 30%
Topics covered:
Fundamentals (stress and strain)
· Definition of stress and the tensorial indicial notation
· Stress transformation, principal stresses, maximum shear stress, and invariants
· Mohr’s circle
· Definition of deformation and strain
· Summary of equilibrium, kinematic, and constitutive equations, and compatibility.
· Elastic constitutive law: anisotropic, orthotropic, and isotropic
· Thermal stresses, thermal strains, and other types of eigenstrains
Applied Problems
· Boundary value problems – governing equations and boundary conditions
· Plane stress and plane strain problems
· The Airy stress function
· Beam theory (tension, torsion and bending)
· Other common BVP applications
Extensions
· Energy principles
· Failure theories
· Inelastic materials and plasticity