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Introduction to Micromechanics

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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...

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:...

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.

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...

Introduction to Vectors and Tensors

29 Oct 2014 | Teaching Materials | Contributor(s): Wenbin Yu

A basic introduction to vectors and tensors for engineers.

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...

Variational Asymptotic Modeling of Composite Dimensionally Reducible Structures

23 Dec 2015 | Teaching Materials | Contributor(s): Wenbin Yu

Prof. Yu's PhD dissertation.

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.

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: 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 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 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.

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: HW2 Solutions

10 Feb 2015 | Teaching Materials | Contributor(s): Wenbin Yu

HW2 Solutions for Multiscale Structural Mechanics.

MSM: HW#3 Solution

19 Feb 2015 | Teaching Materials | Contributor(s): Wenbin Yu

MSM: HW#4 Solution

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: 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.