Type: | Ph.D.-level, Open University Language: English |
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Previous course: 59138/C5938
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No credit points with: 59138
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Prerequisite: 59308.59331
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Recommended semester: 7th - 9th semester
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Examination: Evaluation of report(s) (13-scale)
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Contact person: | Henrik Stang, Building 118, Tel. +45 4525 1735, email hs@bkm.dtu.dk |
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Department: Department of Structural Engineering and Materials
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Aim: To introduce the students to the continuum mechanical principles for deriving linear constitutive equations for macroscopically homogeneous composite materials. Using this framework the students will be able to derive linear elastic (in general anisotropic) stiffness and compliance parameters for a broad class of linear elastic composite materials, and fibre reinforced plastics. Furthermore, a theoretical introduction is given to the non-linear mechanical behaviour of cementitious composite materials. Some theoretical tools for the description of this non-linear behaviour are introduced. Finally it is shown how this description of non-linear material behaviour can be introduced in structural calculations.
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Contents: The representative volume element (RVE). Exact definition of and equations for the determination of the linear elastic stiffness properties of the representative volume element. Example of application: material with 1D fibres. Introduction to solutions for linear elastic inclusions and inhomogeneities. Application of these solutions in the determination of stiffness properties of linear elastic composite materials. Application of solutions for inhomogeneities in the description of composite materials with small, stable cracks.
Non-linear fracture mechanics for cementitious composite materials. The fiber pull-out problem. Determination of non-linear fracture mechanical parameters. Structural application of non-linear fracture mechanics.
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