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    ENGN 2240: Linear Elasticity - Fall 2016

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    jasong
    ENGN 2240: Linear Elasticity is a graduate level course focusing on fundamental theories and applications of linear elasticity. Students will spend 3 hours per week in class for 14 weeks, with an estimated 10 hours per week of additional work outside of class. The course covers governing equations of linear elasticity, theorems, static and dynamic boundary value problems, energy methods, and elasticity of anisotropic materials. Evaluation is based on homework, a midterm exam, and a final exam.

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    ENGN 2240: Linear Elasticity - Fall 2016

    Uploaded by

    jasong
    14 views1 page
    ENGN 2240: Linear Elasticity is a graduate level course focusing on fundamental theories and applications of linear elasticity. Students will spend 3 hours per week in class for 14 weeks, with an estimated 10 hours per week of additional work outside of class. The course covers governing equations of linear elasticity, theorems, static and dynamic boundary value problems, energy methods, and elasticity of anisotropic materials. Evaluation is based on homework, a midterm exam, and a final exam.

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    Linear elasticity outline

    Original Title

    Mech 2240

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    ENGN 2240: Linear Elasticity is a graduate level course focusing on fundamental theories and applications of linear elasticity. Students will spend 3 hours per week in class for 14 weeks, with an estimated 10 hours per week of additional work outside of class. The course covers governing equations of linear elasticity, theorems, static and dynamic boundary value problems, energy methods, and elasticity of anisotropic materials. Evaluation is based on homework, a midterm exam, and a final exam.

    Copyright:

    © All Rights Reserved
    Download as PDF, TXT or read online from Scribd
    Download as pdf or txt
    14 views1 page

    ENGN 2240: Linear Elasticity - Fall 2016

    Uploaded by

    jasong
    ENGN 2240: Linear Elasticity is a graduate level course focusing on fundamental theories and applications of linear elasticity. Students will spend 3 hours per week in class for 14 weeks, with an estimated 10 hours per week of additional work outside of class. The course covers governing equations of linear elasticity, theorems, static and dynamic boundary value problems, energy methods, and elasticity of anisotropic materials. Evaluation is based on homework, a midterm exam, and a final exam.

    Copyright:

    © All Rights Reserved
    Download as PDF, TXT or read online from Scribd
    Download as pdf or txt
    of 1

    ENGN 2240: Linear Elasticity – Fall 2016

    Instructor: Professor Huajian Gao

    This course will focus on fundamental theories and applications of linear elasticity.
    The students will spend 3 hours per week in class for 14 weeks (42 hours), Homeworks,
    reading, exams, and other out-of-class work are estimated at around 10 hours per week
    (140 hours).

    Audience: Graduate students

    Prerequisites: Prior exposure to mechanics of solid and structures as well as vector and
    tensor manipulations is highly encouraged

    Grading:
     Homework: 50%; Midterm: 20%; Final exam: 30%

    Outline (subject to minor changes):


    Governing equations of linear elasticity; equations in continuum mechanics and their
    linearization; boundary and initial value problems
    Theorems of linear elasticity; superposition; uniqueness theorems; reciprocal theorem;
    Saint Venant's principle
    Three-dimensional static boundary value problems; papkovich neuber potentials;
    singular solutions for an infinite solid; boundary element method; solutions for 3d
    dislocation loops in an infinite solid; eigenstrains; Eshelby inclusion problems;
    singular solutions for the half space; contact problems; Saint Venant theory of
    torsion of slender members
    Two-dimensional static boundary value problems in anti-plane shear; complex
    variable solutions and conformal mapping methods
    Two-dimensional static boundary value problems in plane elasticity; plane strain,
    plane stress and associated field equations; airy stress functions; complex variable
    methods for plane elastostatics and examples; Cauchy integral formula; analytic
    continuation; traction boundary value problems for the half plane; mixed
    boundary value problems for the half plane: contact and crack problems
    Energy theorems and applications; principle of virtual work; principles of stationary
    and minimum potential energy; applications of stationary and minimum potential
    energy: approximate solutions and bounds; principles of stationary and minimum
    complementary energy and applications
    Elasticity theory for anisotropic materials; constitutive equations for anisotropic
    materials; Stroh representation for general plane deformation of anisotropic
    materials; solutions to selected boundary value problems

    Textbook & reference: Lecture notes available online; Applied Mechanics of Solids.
    Allan F. Bower solidmechanics.org

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