Variational Asymptotic Modeling of Composite Dimensionally Reducible Structures
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23 Dec 2015 | Teaching Materials | Contributor(s): Wenbin Yu
Prof. Yu's PhD dissertation.
Three-ways to derive the Euler-Bernoulli-Saint Venant Beam Theory
05 Jun 2014 | Teaching Materials | Contributor(s): Wenbin Yu
This lecture notes used used to teach&nbsp;graduate structural mechanics course at Utah State University. In the notes, we formulated the complete classical beam model (extension/torsion/bending in two directions), which is also called Euler-Bernoulli-Saint beam theory, in three ways:...
Three ways to derive the classical plate model
19 Jun 2014 | Teaching Materials | Contributor(s): Wenbin Yu
Attached is part of my lecture notes for a graduate structural mechanics. Inthe notes, we derived the classical plate theory, which is also calledthe Kirchhoff plate theory, in three ways: Newtonian method, variationalmethod, and variational asymptotic method, using 3D elasticity theory as...
SwiftComp Examples
19 Nov 2015 | Teaching Materials | Contributor(s): Wenbin Yu
These document contains the examples which could be used to get familiar with SwiftComp.
Solution for MSM HW#7
20 Apr 2015 | Teaching Materials | Contributor(s): Wenbin Yu
This is the solution for HW#7.
MSM:3D FEA results for final project
07 May 2015 | Teaching Materials | Contributor(s): Wenbin Yu
MSM: Solution for HW#1
02 Feb 2015 | Teaching Materials | Contributor(s): Wenbin Yu
The attached mathematica file contains the solutions HW# 1 problems.
MSM: Mathematica File for Calulus of Variations
27 Jan 2015 | Teaching Materials | Contributor(s): Wenbin Yu
This mathematica file contains the examples demonstrated for the module on Calculus of Variations.
MSM: HW2 Solutions
10 Feb 2015 | Teaching Materials | Contributor(s): Wenbin Yu
HW2 Solutions for Multiscale Structural Mechanics.
MSM: HW#5: Three types of boundary conditions for Micromechanics models
02 Mar 2015 | Teaching Materials | Contributor(s): Wenbin Yu
Explicitly expressing three types of boundary conditions for Micromechanics models, and implementing them in commercial finite element codes.
MSM: HW#4 Solution
19 Feb 2015 | Teaching Materials | Contributor(s): Wenbin Yu
MSM: HW#3 Solution
MSM: Handout: MOC/GMC/HFGMC
03 Mar 2015 | Teaching Materials | Contributor(s): Wenbin Yu
The attached handout is scanned from the book by Jacob Aboudi, Steven M. Arnold, and Brett A. Bednarcyk entitled Micromechanics of Composite Materials, a generalized Multiscale Analysis Approach.
MSM HW1: Coordinate Transformation
23 Jan 2015 | Teaching Materials | Contributor(s): Wenbin Yu
This is the homework for excercising coordinate transformation needed for dealing with anisotropic behavior of composite materials.
MSM HW#8: Multiscale Composites Simulation
07 Apr 2015 | Teaching Materials | Contributor(s): Wenbin Yu
A comprehensive homework designed for exercise various analysis options of composite laminates for different level of accuracy and efficiency.
MSM HW#6
26 Mar 2015 | Teaching Materials | Contributor(s): Wenbin Yu
Use SwiftComp to compute the six by six stiffness matrix and compare with the results obtained in HW#5.
MSM Handout #3: Micromechanics
12 Feb 2015 | Teaching Materials | Contributor(s): Wenbin Yu
This is a work in progress.
MSM Handout #2: Calculus of Variations
17 Jan 2015 | Teaching Materials | Contributor(s): Wenbin Yu
Basics of calculus of variations, ritz method, variational asymptotic method.
Introduction to Vectors and Tensors
29 Oct 2014 | Teaching Materials | Contributor(s): Wenbin Yu
A basic introduction to vectors and tensors for engineers.
Introduction to Micromechanics
14 Nov 2015 | Teaching Materials | Contributor(s): Wenbin Yu
This article provides a brief introduction to micromechanics using linear elastic materials as an example. The fundamental micromechanics concepts including homogenization and dehomogenization, representative volume element (RVE), unit cell, average stress and strain theories, effective...
Assessing VABS against ABAQUS Beam Section Generate
27 May 2015 | Teaching Materials | Contributor(s): Su Tian, Wenbin Yu
We did a case study for a composite beam using VABS and ABAQUS beam section generate capability and compared with detailed 3D FEA analysis. The conclusion is that VABS can reproduce the detailed 3D FEA analysis at an efficiency much faster than ABAQUS beam capability. The accuracy of ABAQUS beam...