MATSE 564/E MCH 535:

DEFORMATION MECHANISMS IN MATERIALS

                   

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Overview:

Course Outline:

PART I.  DEFORMATION MECHANISMS IN BRITTLE MATERIALS

1. STRESSES AND STRAINS
2. LINEAR ELASTICITY
3. ELASTIC CONSTANTS AND STRUCTURE
4. RESIDUAL AND THERMAL STRESSES
5. VISCOUS FLOW
6. VISCOELASTICITY
   

PART II.  DEFORMATION MECHANISMS IN DUCTILE MATERIAL

 Course Content - Part I

1. CLASS 1  STRAINS
   
   • Introduction
   • Displacements and position
   • Normal and shear strains
   • Repeated subscript notation
   • Eulerian strain tensors
   • Strain invariants
   • Spherical and deviatoric strains
   • Transformation
   • Compatibility
   
   CLASS 2  TENSORS AND STRESSES
   
   • Tensors
   • Second-order tensors
   • Coefficients of Thermal Expansion
   • Stress tensor
   • Hydrostatic and deviator stresses
   • Stresses on a plane
   • Principal stresses
   • Stress equilibrium
   
   CLASS 3
   
   • Examples and Discussion
   
   CLASS 4 LINEAR ELASTICITY
   
   • Generalized Hooke's Law
   • Symmetry of Elastic Constants
   • Strain Energy Density
   • Representational Surfaces
   • Composite Materials
   • Anisotropic Indices
   • Isotropic Materials
   • Temperature Effects
   
   CLASS 5
   
   • Examples and Discussion
   
   CLASS 6  ELASTIC CONSTANTS AND STRUCTURE I
   
   • Interatomic potential and elastic constants
   • Effect of anion repulsion
   • Anisotropy trends
   • Elastic behavior of glasses
   • Empirical and predictive approaches
   
   CLASS 7   ELASTIC CONSTANTS AND STRUCTURE II
   
   • Constitutive equations for isotropic particulate composites
   • Single inclusions
   • Bounding approaches
   • Specific geometry solutions
   • Self-consistent solutions
   • Thermal expansion
   • Particulate composites
   
   CLASS 8   ELASTIC CONSTANTS AND STRUCTURE III
   
   • Elastic constants of random polycrystals
   • Elastic properties of porous materials and cellular solids
   • Microcracking and elastic behavior
   • Thermal expansion
   • Anisotropic composites
   • Hierarchical structures
   
   CLASS 9 RESIDUAL AND THERMAL STRESSES
   
   • Particulate composites
   • Fiber composites
   • Sandwich structures
   • Symmetric laminates
   • Bi-layers
   • Thermal stresses
   • Composition-induced stress
   
   CLASS 10
   
   • Examples and Discussion
   
   CLASS 11   VISCOUS DEFORMATION
   
   • Linear viscous deformation
   • Effect of temperature
   • Effect of structure
   • Structural relaxation
   • Non-linear viscous flow
   
   CLASS 12  VISCOELASTICITY
   
   • Linear viscoelasticity
   • Anelasticity
   • Mechanical analogs.
   • Creep and stress relaxation
   • Effect of structure
   
   CLASS 13 VISCOUS SOLIDS
   
   • Sintering
   • Creep
     

Lecture Notes - Part I

Required Textbook:

• Introduction to the Mechanical Properties of Ceramics, D. J. Green.

Reserve Books

1. A. H. Cottrell, Mechanical Properties of Matter
   
2. T. H. Courtney, Mechanical Behavior of Materials
   
3. D. J. Green, Introduction to Mechanical Properties of Ceramics
4. J. B. Wachtman, Mechanical Properties of Ceramics
5. R. W. Hertzberg, Deformation and Fracture Mechanics of Engineering Materials
6. A. Kelly and N. MacMillan, Strong Solids, Oxford Science Publications
7. J. F. Nye, Physical Properties of Crystals
8. T. W. Clyne and P. J. Withers, An Introduction to Metal Matrix Composites.
   

Course Evaluation - Part I

 Academic Integrity and the Promotion of a Vibrant Learning Culture:

The following recommendations address the partnership between the faculty-teacher and student-learner in the personal process of learning with a focus on the maturation of students in the learning process (Senate Policy 49-20).

The Teacher in the Learning Process.
Maintaining a high level of learning requires characteristics in teaching necessary for a strong teacher-learner relationship.  The teacher should:

1. Maintain an atmosphere of integrity, civility and respect.
2. Exhibit a strong desire for students to learn.
3. Recognize that effective teaching requires a balance among teaching, advising, research, and service.
4. Encourage active student participation in learning.
5. Employ effective teaching and learning strategies.
6. Help students connect learning experiences.
7. Develop an effective personal teaching approach.

The Student in the Learning Process.
Maintaining a high level of learning and scholarly activity requires the following characteristics of the student learner:

1. Academic integrity, respect, and civility.
2. Strong work ethic.
3. Manage time wisely.
4. Participate actively in class.
5. Recognize importance of out-of-class learning.
6. Reflect on the educational process.
7. Perform self-assessment.

Academic Integrity  (Senate Policy 49-20)

STANDARDS OF CONDUCT (Graduate School Policies )

By virtue of their maturity and experience, graduate students are expected to have learned the meaning and value of personal honesty and professional integrity before entering the Graduate School. Every student is expected to exhibit and promote the highest ethical and moral standards. A violation of such standards is regarded as a serious offense, raising grave doubt that the student is worthy of continued membership in the Graduate School community. The University Code of Conduct is found in Appendix I of the Graduate School Policies.  Violation of the Code may result in suspension or dismissal from the Graduate School.
   
Research Integrity--Graduate students are expected to adhere to the highest standards of research integrity in the conduct of their research and other educational activities. They are subject to University policy AD-47, which applies to all University personnel engaged in research activities. This policy may be accessed electronically through the University's General University Reference Utility (GURU).

For MatSC 564/E MCH 535 the following specific points should also be considered.

• For homework problems, there is no difficulty in consulting other students but the final answer to the problems should be performed on an individual basis.  No item should be copied from any document that belongs to another person.  This includes electronic files, documents, spreadsheets, graphs, etc.
• In examinations, only stipulated information can be used during the evaluation nor should students copy from other students in the class.
• All information obtained from the scientific or engineering literature must be referenced.