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MCE 440 – Mechanics of Composite Materials

Description: (Lecture, 3 credits) Introduction to the basic concepts of the mechanical behavior of composite materials. Analysis and performance of fiber-reinforced composites. Special design considerations and experimental characterization of composites.

Pre-requisite: CVE 220

Learning Objectives:  After completing this course, the student will be able to:

  • predict composite properties based on micromechanical theories
  • perform stress and strain analysis in anisotropic and orthotropic materials having continuous fiber reinforcement
  • model thermal/moisture effects on mechanical properties  of CFRC composite materials.
  • use Classical Lamination Theory to examine the role of individual plies on the global and local axial, bending and twisting deformation of laminates.
  • use failure theories for multiaxial loading to determine the composite survivability.

Instructor: Professor H. Ghonem, Office: 101 Wales Hall, Phone: 874-2909, Email: ghonem@egr.uri.edu

Class Time and Place: TTh 11:00 am – 12:15 pm, Wales Hall 225

Office Hours: M 10:00 am – 12:00 pm, W 1:00 pm – 3:45 pm

Text: No required book

Reference Material: Handouts and lecture notes, suggested texts on composites:

  • Stress Analysis of Fiber-Reinforced Composite Materials, Michael Hyer, McGraw Hill, 1997
  • Mechanics of Composite Materials with MATLAB, George Voyiadjis and Peter Kattan, Springer-Verlag, 2005

Grades:

  • Homework 10%
  • Composite Program 10%
  • Quizzes 20%
  • Exams 60%

Policies:

  • Attendance requires signing of attendance sheet during class.
  • Participation includes class discussions or problem solving.
  • No late homework will be accepted.
  • Collaboration in the form of discussion of formulation of solutions or results is encouraged; however, each individual must work independently to create the solution, computer programs, and the homework report.

Course Requirements: Only the basic concepts introduced in an undergraduate strength-of-materials course is necessary.  The course, however, requires the knowledge of matrix analysis as well as the use of computational programs (examples are: MATLAB, Mathematica, Maple, or macros in Microsoft Excel).

Course Topics:

PART 1: INTRODUCTION:

  • Composite Applications
  • Composite Constituents: Fibers and Matrix
  • Manufacturing Techniques:

PART 2: MECHANICS OF FIBER REINFORCED COMPOSITES

  • Micromechanics
  • Principles of Elastic-Anisotropy
  • Elastic Constants of Unidirectional Composite
  • Linear Stress–strain Relations for Fiber Reinforced
  • Plane Stress-Strain Relations in Global Coordinates:

PART 3: CLASSICAL LAMINATION THEORIES

  • The Kirchhoff Hypothesis
  • Laminate Displacements, Strains and Stresses
  • Force and Moment Resultant
  • Laminate Stiffness: The ABD Matrix:

PART 4: FAILURE THEORIES

  • Strength Ratio and Strength of a single layer of CFRC
  • Max Stress Criterion
  • Max Strain Criterion
  • Tsai-Hill Criterion
  • Tsai-Wu Criterion
  • Fiber-Matrix Failure Criterion
  • First Ply Failure
  • Fiber Failure:

PART 5: EXPERIMENTAL CHARACTERIZATION

  • Interface analysis of fiber reinforced composites
  • Experimental characterization of composite materials

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