EQUIVALENT ELASTIC PROPERTIES OF LATTICES USING NON-UNIFORMLY DISTRIBUTED POINT CLOUD

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2022-12-15 Engin Ege Yormaz - Masters Thesis.pdf

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2022-11-22

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Yormaz, Engin Ege

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A method based on the equivalency of strain energy density is proposed for finding the elastic parameters of non-uniformly distributed lattice models in 2D with a Poisson’s ratio of 1/3. Lattice members are assumed to carry only normal force. Hence, the elasticity modulus times the area is the only defining parameter for each lattice member. The method is implemented in MATLAB and it is tested with regularly structured lattices whose solutions can be calculated exactly. A “User-Friendly Lattice Model Program with Graphical User Interface” is developed in MATLAB within the context of this study. The program can deal with complex geometries in 2D. Many examples with different levels of complexity and boundary conditions are solved using the developed program, and solutions are compared with the equivalent finite element solutions. The developed framework is expected to form the foundation for nonlinear analysis of concrete structures as it does not suffer from compression locking reported for structured lattice approaches in earlier studies.

Subject Keywords

Lattice Model, Elastic Properties

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https://hdl.handle.net/11511/101186

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Graduate School of Natural and Applied Sciences, Thesis

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Citation Formats

E. E. Yormaz, “EQUIVALENT ELASTIC PROPERTIES OF LATTICES USING NON-UNIFORMLY DISTRIBUTED POINT CLOUD,” M.S. - Master of Science, Middle East Technical University, 2022.