{"id":18452,"date":"2025-07-19T16:20:42","date_gmt":"2025-07-19T14:20:42","guid":{"rendered":"https:\/\/www2.mie.uth.gr\/?page_id=18452"},"modified":"2025-10-25T20:46:16","modified_gmt":"2025-10-25T17:46:16","slug":"%ce%bc%cf%851100-composite-materials-elective-materials-track","status":"publish","type":"page","link":"https:\/\/mie.uth.gr\/?page_id=18452&lang=en","title":{"rendered":"\u039c\u03a51100\u00a0Advanced Mechanics of Materials (Elective Course 2)"},"content":{"rendered":"\t\t
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\u039c\u03a51100 ADVANCED MECHANICS OF MATERIALS (ELECTIVE COURSE 2)<\/h1>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t
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\u039c\u03a51100 ADVANCED MECHANICS OF MATERIALS (ELECTIVE COURSE 2)<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t
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Course Information<\/h3>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t
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Course Outline<\/span><\/a><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t

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Course Category<\/strong>
Course Type<\/strong>
Secretary Code<\/strong>
Semester<\/strong>
\u0394\u03b9\u03ac\u03c1\u03ba\u03b5\u03b9\u03b1<\/strong>
ECTS Units
Sector
<\/strong>
Instructor<\/strong><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t

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Undergraduate
Elective Course 2
\u039c\u03a51100
8th (Spring)
5 hours\/week
6
Mechanics Materials and Manufacturing Processes

Agoras Michalis<\/a><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t

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Course Category: <\/strong>Undergraduate
Course Type: <\/strong>Elective Course 2
Secretary Code: <\/strong>\u039c\u03a51100
Semester: <\/strong>8th (Spring)
Duration: <\/strong>5 hours\/week
ECTS Units:\u00a0<\/strong>6
Sector: <\/strong>Mechanics, Material and Manufacturing Processes

Instructor: <\/strong>Agoras Michalis<\/a><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t

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<\/i>Aim<\/span><\/div>

This course serves as an introduction to the fundamental principles and methods of the Theory of Composite Mateirials. Special emphasis is placed on the application of well-known analytical solutions to composite materials of practical and technological interest, including estimates of the Hashin\ufffeShtrikman type which are suitable for particulate microstructures and the self-consistent estimates which are appropriate for polycrystalline materials.<\/p><\/div>\n\t\t\t\t\t<\/div>

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<\/i>Syllabus<\/span><\/div>
Basic concepts and definitions. Convex funtions and the Legendre-Fenchel transform. Constitutive <\/strong>behavior of materials:<\/strong><\/span> elasticity, viscoplasticity, plasticity. Material symmetries (anisotropy): orthotropy, transverse isotropy, isotropy.<\/div>
Static equilibrium of heterogeneous materials:<\/strong><\/span> field equations and the classical variational principles. The homogenization problem: the concept of the representative volume element (RVE), periodic and random microstructures, definition of the homogenized (or macroscopic) behavior of composites.<\/div>
The classical Voigt and Reuss bounds. Some exact solutions:<\/strong> <\/span>simple and hierarchical laminates, Hashin\u2018 s composite sphere and cylinder assemblage microstructures.<\/div>
Eshelby’ s problem:<\/strong><\/span> an ellipsoidal, linear elastic particle in an infinite linear elastic matrix. The Hashin-Shtrikman
method and the Hashin and Shtrikman bounds for composite materials with statistically isotropic phase distributions. Generalizations (Willis) of the Hashin-Shtrikman method to materials with anisotropic (“ellipsoidal”) phase distributions. Bounds and estimates for linear composites with random phase distributions: ellipsoidal, spheroidal, spherical, fibrous and lamellar microstructures.<\/div>
Polycrystalline (granular) microstructures:<\/strong> <\/span>the self-consistent estimate.<\/div><\/div>\n\t\t\t\t\t<\/div>
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<\/i>Literature<\/span><\/div>

Suggested Literature:<\/strong><\/span><\/p>

  • Ponte Castaneda, P., Heterogeneous Materials, Lecture Notes, 2005.<\/li>
  • Willis, J.R., Mechanics of Composite Materials, Lecture Notes, 2002.<\/li>
  • Milton, G. W., Theory of Composites, Cambridge University Press, 2002.<\/li>
  • \u00a0Christensen, R. M., Mechanics of Composite Materials, New York: Wiley-Interscience, 1979.<\/li>
  • Torquato, S., Random Heterogeneous Materials: Microstructure and Macroscopic Properties,
    Springer, 2002.<\/li><\/ul>

    Related Academic Journals:<\/strong><\/span><\/p>

    • Journal of the Mechanics and Physics of Solids<\/li>
    • International Journal of Solids and Structures<\/li>
    • Advances in Applied Mechanics<\/li><\/ul><\/div>\n\t\t\t\t\t<\/div>
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      <\/i>Teaching Language<\/span><\/div>

      Greek<\/p><\/div>\n\t\t\t\t\t<\/div>

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      <\/i>Teaching Method<\/span><\/div>

      Lectures<\/p><\/div>\n\t\t\t\t\t<\/div>

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      <\/i>Student Performance Evaluation<\/span><\/div>

      \u00a0<\/p>

      \u00a0<\/p>
      Written Final Exams<\/strong><\/td>50%<\/td><\/tr>
      Written Homeworks<\/strong><\/td>30%<\/td><\/tr>
      Oral Presentation of a team project<\/strong><\/td>20%<\/td><\/tr><\/tbody><\/table><\/div>\n\t\t\t\t\t<\/div>
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      <\/i>Workload (in hours)<\/span><\/div>
      \u0394Activity<\/strong><\/td>Semester Workload<\/strong><\/td><\/tr>
      Lectures<\/td>70<\/td><\/tr>
      Homeworks<\/td>35<\/td><\/tr>
      Study and Analysis of bibliography<\/td>45<\/td><\/tr>
      Course total (25 hours per <\/strong>
      credit unit) <\/strong><\/td>      		150<\/strong><\/td><\/tr><\/tbody><\/table><\/div>\n\t\t\t\t\t<\/div><\/div>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"

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