Micromechanics of two-phase solids. The orthotropic layer: on-axis and off-axis moduli and strength. Hygrothermal effects. Laminate stacking, stiffness and strength. Intralaminar failure modes. Failure criteria. First ply and next ply failure. Interlaminar strength. The layered composite tube.

The primary objective of this course is to engage the student in important concepts related to material constitutive responses and composite mechanics. Students should gain a basic understanding of the fundamental techniques used to analyze composite structures and the current challenges faced by the composites community. Students who successfully complete the course should be able to read, understand, and comment on papers in the open literature.

ME 3650 – Machine Design I

• Concepts of stress, strain, and mechanics of materials
• Ability to solve ordinary homogeneous differential equations with constant coefficients
• Ability to differentiate and integrate multivariable functions

1. Basic concepts and characteristics of fiber-reinforced composite materials
2. Micromechanical and macromechanical characteristics of composite lamina
3. Constitutive relationship for a composite laminate and its use in the classical lamination theory
4. Through-thickness stress and strain variations in composite laminate and the effect of ply pattern on laminate characteristics
5. Failure theories for fiber-reinforced composite laminates
6. Application of classical lamination theory to the analysis and design of structures made of laminated fiber-reinforced composite materials

• Engineering Mechanics of Composite Materials, Isaac M. Daniel, Ori Ishai, Second Edition, Oxford University Press, 2006
• Mechanics of composite materials, Robert M. Jones, Taylor & Francis, 1999
• Stress Analysis of Fiber-Reinforced Composite Materials, Michael Hyer, DEStech Publications, 2009
• Mechanics of fibrous composites, Carl T. Herakovich, Wiley, 1998
• Introduction to Composite Materials Design, Ever J. Barbero, Taylor & Francis, 2010

1. Demonstrate a fundamental understanding of:
   • the definition, characteristics, and behavior of composite materials
   • the commonly used fabrication techniques for composite materials
   • the stress-strain relations for an anisotropic lamina and the hygrothermal effects
2. Demonstrate the ability to:
   • calculate engineering constants from constituent properties
   • calculate the components of compliance and the stiffness matrices for a lamina at an arbitrary orientation
   • calculate the lamina stress and strain components due to mechanical and hygrothermal loading
   • calculate the stiffness and strength properties of a lamina based on the properties of constituent materials
   • calculate the components of laminate extensional, coupling, and bending stiffness matrices
   • calculate the mid-plane strains and curvatures based on force and moment resultants and visa versa
   • calculate through-the-thickness stress and strain distributions
   • calculate effective in-plane engineering properties of a laminate
   • apply a specific failure criterion for the analysis of a composite laminate
   • analyze and design laminated structures with classical boundary conditions
3. Demonstrate the ability to:
   • submit assignments as technical reports with clear and concise statements explaining each solution step
   • properly interpret and discuss the solution outcome

Assignments are due at the beginning of class. Late homework will be penalized 50% of the earned grade. All homework assignments must be completed with good-faith effort to pass the course.

Working Together: For homework assignments, students are encouraged to discuss solution methods with their colleagues. Written work must be done independently and must accurately represent the work of the student. All exams and quizzes are to be completed independently.

Absences: Attendance and discussion are a vital part of this class. Please make every effort to attend. If you will be absent, advise the instructor in advance.

Illness: Attendance is important, however, the health and well-being of our community is more important. Do not come to class if you are ill or suspect illness. Contact the instructor to inform him of your circumstances and to coordinate assistance.

Re-grades: Re-grade requests must be submitted in writing within 1 week of the return of any item. The instructor reserves the right to re-grade the entire item.

Academic integrity: You are responsible for making yourself aware of and understanding the policies and procedures in the Undergraduate and Graduate Catalogs that pertain to Academic Honesty. These policies include cheating, fabrication, falsification and forgery, multiple submission, plagiarism, complicity and computer misuse. [The policies can be found at http://catalog.wmich.edu under Academic Policies, Student Rights and Responsibilities.] If there is reason to believe you have been involved in academic dishonesty, you will be referred to the Office of Student Conduct. You will be given the opportunity to review the charge(s). If you believe you are not responsible, you will have the opportunity for a hearing. You should consult with your instructor if you are uncertain about an issue of academic honesty prior to the submission of an assignment or test.