After successful completion of the course, students are able to

• use micromechanical formulas to determine smeared composite stiffness data
• calculate fiber volume fractions from micrographs and fiber weight fractions
• compute the stiffness and compliance matrix of isotropic, orthotropic, and transversal isotropic materials for triaxial and plane stress states and to explain the differences
• transform the elasticity law in the plane stress state for isotropic and transversally isotropic material behavior and to show the components of the stiffness matrix in polar diagrams depending on the fiber angle
• calculate engineering constants for a unidirectional single layer assuming a plane membrane stress state for isotropic and transversal isotropic material behavior, and to plot the values according to the fiber angle in polar diagrams
• assess the failure behavior of a single layer depending on the fiber angle and compare the results of different failure criteria
• apply the laminate calculation program elamX2 (https://tu-dresden.de/ing/maschinenwesen/ilr/lft/elamx2/elamx)
• use the finite element program Hyperworks (https://altairhyperworks.com) for composite specific numerical analyses
• compare numerical results of simple problems with analytical solutions or solutions of the program elamX²
• recognize composite specific sources of error in numerical analysis
• critical questioning the manufacturability of numerically calculated composite structures.

Solving of examples on the topics:

• Micromechanics (Rules of Mixture)
• fiber volume fraction/fiber weight fraction
• anisotropic material behavior of laminas
• triaxial and plane stress states
• stiffness and compliance matrix
• transformation Hooke’s law
• engineering constants
• failure criteria
• laminate calculation program elamX² (https://tu-dresden.de/ing/maschinenwesen/ilr/lft/elamx2/elamx
• numerical analyses of composites using Hyperworks (https://altairhyperworks.com)
• Composite specific errors in numerical analyses
• manufacturability of numerically calculated composite structures

Presentation and discussion of exercises with additional notes and explanations on the board. Introduction to the use of the program elamX² and the composite specific part of the finite element program Hyperworks .

Submission of exercise protocols created in groups of 2 students.

 Lehrveranstaltungsinformationen und Unterlagen sind via TUWEL downloadbar.

Knowledge in solid mechanics and mathematics (linear algebra)