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Micromechanics of Materials


Credit Hours:


Start Date:

January 19, 2021

Learning Objective:

1. Mechanics of multiphase materials such as relevant to the design and the analysis of composites, multiphase alloys, porous solids, foams, honeycomb materials, architecture materials.
2. Mechanics of material damage as this emerges from the evolution of microcracks and the growth of voids.
3. Material selection and design approaches with microstructure features.
4. Implication to the design of mechanical devices and structures with case studies.


Increasingly mechanical engineering design makes use of advanced materials. Novel materials can only be applied successfully if it is understood that materials fundamentally are of heterogeneous nature. The course introduces the fundamental mechanics aspects required for the analysis of heterogeneous materials, and concepts required for their application in mechanical engineering. Three major technical topics are covered:
(1) Mechanics of multiphase materials including composites, multiphase steels and alloys, porous solids
(2) Mechanics of architecture materials, such as foams and honeycomb structures, lattice materials, and topologically interlocked material systems.
(3) Mechanics of damage and failure due to void growth or microcracking.
The course introduces students to fundamental steps of designing materials by employing the tools of material property charts.
The course introduces students to fundamental step of applying advanced materials in the design of mechanical devices.
Spring 2019 Syllabus

Topics Covered:

Introduction to Micromechanics of Materials; Material property charts and the need for new materials, Multiphase materials; Unidirectional composites, Modeling principles, Unidirectional Composites, Modulus, Stress and strain localization, Unidirectional Composites, Shear Modulus, Poisson???s ratio, Elastic-plastic loading, Unidirectional composites, Failure, Thermomechanical properties, Short fiber composites, Shear lag model; Homogenization theory, Representative volume element concept, Averaging, Homogenization, Thermal strains and eigenstrains, Mechanical loading and eigenstrains, Dilute approximation, Self-consistent model, Mori-Tanaka method, Finite element modeling aspects; Case study: Multiphase materials; Cellular solids, Honeycomb structures, Elastic properties, Non-linear properties - failure, Properties of foams, Foams - thermal shock properties - energy absorption; Case study: cellular solids; Introduction to damage mechanics, Damage as internal variable, Methods for determination of damage, Thermodynamics of damage, Damage equivalent stress, Kinetic of damage evolution, Ductile Ffacture models; Case study: Damage Mechanics. Materials by segmentation, Mechanics of segmented materials, Elastic properties, Non-linear properties - failure. Case study: segmented materials.


Good standing in the ME graduate program

Applied / Theory:

30 / 70

Web Address:

Web Content:

Syllabus, grades, lecture notes, homework assignments, solutions, chat room, and message board.


Homework will be assigned on a bi-weekly basis. One independent paper. Accepted via email (course email address will be provided - tentatively


Required - Students are required to work on an independent project related to the course material. A project topic is proposed two weeks after the start of the course, a draft proposal is due after the first six weeks of the course, a draft paper is due after 10 weeks of class, and a final report in the form of a short technical paper is due one week before the end of the semester. Project is not necessarily job-related but can be pending instructor consent.


(2) 1-hour exams and (1) final exam.


Official textbook information is now listed in the Schedule of Classes. NOTE: Textbook information is subject to be changed at any time at the discretion of the faculty member. If you have questions or concerns please contact the academic department.

Computer Requirements:

ProEd Minimum Computer Requirements. Students will need access to a PC for Office applications, MatLab or similar, and potentially to a finite element code (if a student decides to use this for the project, but not required).

ProEd Minimum Requirements:


Tuition & Fees: