Micromechanics of Materials


Credit Hours:


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 2021 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, undergraduate senior standing with ME 323 completed B+ or better

Applied / Theory:

30 / 70

Web Address:


Web Content:

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


Weekly quizzes, Biweekly homework. Writing assignments. All submissions electronically via gradescope or similar.


2 exams during semester and 1 in finals week


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:

A typical personal computer with standard software.

ProEd Minimum Requirements: