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Advanced mechanics of materials

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Welcome to this learning project about Advanced Mechanics of Materials!

Learning Project Summary

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This course is being taught in Spring 2011. This website is under construction.

Content summary

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This is a graduate-level course on advanced mechanics of materials.

Goals

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This learning project aims to.

  • provide the mathematical foundations of mechanics of materials.

Contents

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Syllabus and Learning Materials

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  1. Mechanics of Materials
    1. Deformation measures
      1. Motion, displacement, velocity, acceleration
      2. Strains and deformations
      3. Polar decomposition
      4. Spectral decompositions of kinematic quantities
      5. Volume change and area change
      6. Time derivatives and rate quantities
      7. Objectivity of kinematic quantities
    2. Stress measures
      1. Stress measures
      2. Deviatoric and volumetric stress
      3. Objective stress rates
    3. Balance laws and entropy inequality
    4. Constitutive relations
      1. Cauchy elastic materials

Assignments

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Tests and Quizzes

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Textbooks and References

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