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
14:650:291 Mechanics of Materials - Spring 2024 - Course Syllabus
Lectures: Tuesday and Friday, 8:30 AM - 9:50 PM, SEC-111
Instructor:
Office:
Phone:
Email:
Website:
Office Hours:
Nikolaos N. Vlassis, Assistant Professor
ENG A-200
848-445-5517
nick.vlassis@rutgers.edu
https://canvas.rutgers.edu
Monday 1:00 PM – 2:00 PM (Zoom)
Wednesday 1:00 PM – 2:00 PM (D115 and Zoom)
Friday 11:00 AM – 12:00 PM (ENG A-200 and Zoom)
Recommended Textbooks:
- Mechanics of Materials, 9th, 10th,11th Edition, Hibbeler, 2014-2022.
Course Outline:
Lectures + Lab Sessions + Assignments + Midterms + Final Exam
Method of Evaluation:
Assignments 25%, Lab 5%, Exam 1 22%, Exam 2 23%, Final 25%
Lecture and Lab Format
Every session will include a lecture component followed by a hands-on lab session focused on the topic discussed. Students will be required to code during the lab sessions to reinforce the material covered in the lectures. Students are asked to bring a device with internet access, preferably a laptop, to participate in the programming exercises. The lab sessions will use Google Colab, which runs in the cloud, so there is no need for a high-performance computer. All assignments and final projects will be completed using Python and PyTorch.
Lectures and lab sessions will be streamed live on Zoom, and recordings will be available online after the class ends. While attendance is not mandatory, students in the asynchronous section are welcome and encouraged to join the live sessions to benefit from real-time assistance during the lab session walkthroughs. This provides an opportunity to ask questions and receive live support while working on the coding exercises.
Topics covered:
01/16 Session 01: Introduction, Physical Units, and Scaling Relationships
01/19 Session 02: Static Equilibrium (Review)
01/23 Session 03: Axial Loading: Bars as Springs
01/26 Session 04: Stress and Strain
01/30 Session 05: Material Properties I
02/02 Session 06: Material Properties II
02/06 Session 07: Normal Loading I: Bars, Displacement, and Distributed Force
02/09 Session 08: Normal Loading II: Thermal Loading
02/13 Session 09: Torsion I: Shear Strain in a Twisted Rod, Elasticity and Angle of Twist
02/16 Session 10: Torsion II: Indeterminate Twisted Rods, Distributed Torque
02/20 Exam I from 8:30 AM to 9:50 AM in SEC-111
02/23 Session 11: Beams I: Shear Forces and Bending Moments
02/27 Session 12: Beams II: Graphing Shear Forces and Bending Moments
03/01 Session 13: Beams III: Bending Moment-Bending Stress Relationships
03/05 Session 14: Beams IV: Transverse Shear
03/08 Session 15: Thin-walled Pressure Vessels
03/19 Session 16: Combined Loadings: Superposition of Loads and Stresses
03/22 Session 17: Plane Stress I: Equilibrium on Sliced Elements, Transformations
03/26 Session 18: Plane Stress II: Principal Normal Stresses & In-plane, Max Shear Stress
03/29 Session 19: Plane Stress III: Mohr’s Circle
04/02 Session 20: Absolute Max Shear Stress
04/05 Session 21: Plane Strain: Mohr’s Circle
04/09 Exam II from 8:30 AM to 9:50 AM in SEC-111
04/12 Session 22: Failure Criteria I: Max Normal and Max Shear Stresses
04/16 Session 23: Failure Criteria II: Max Distortion Energy and Modified Normal Stresses
04/19 Session 24: Beams V: Deflection
04/23 Session 25: Beams VI: Superposition, Indeterminacy, Springs
04/26 Review
TBD - Final Exam