Homogenization And Materials Design Of Mechanical Properties Of Textured Materials Based On Zeroth First And Second Order Bounds Of Linear Behavior
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Homogenization and materials design of mechanical properties of textured materials based on zeroth-, first- and second-order bounds of linear behavior
Author: Lobos Fernández, Mauricio
language: en
Publisher: KIT Scientific Publishing
Release Date: 2018-07-09
This work approaches the fields of homogenization and of materials design for the linear and nonlinear mechanical properties with prescribed properties-profile. The set of achievable properties is bounded by the zeroth-order bounds (which are material specific), the first-order bounds (containing volume fractions of the phases) and the second-order Hashin-Shtrikman bounds with eigenfields in terms of tensorial texture coefficients for arbitrarily anisotropic textured materials.
Fiber Orientation Tensors and Mean Field Homogenization: Application to Sheet Molding Compound
Author: Bauer, Julian Karl
language: en
Publisher: KIT Scientific Publishing
Release Date: 2023-02-27
Effective mechanical properties of fiber-reinforced composites strongly depend on the microstructure, including the fibers' orientation. Studying this dependency, we identify the variety of fiber orientation tensors up to fourth-order using irreducible tensors and material symmetry. The case of planar fiber orientation tensors, relevant for sheet molding compound, is presented completely. Consequences for the reconstruction of fiber distributions and mean field homogenization are presented.
Efficient fast Fourier transform-based solvers for computing the thermomechanical behavior of applied materials
Author: Wicht, Daniel
language: en
Publisher: KIT Scientific Publishing
Release Date: 2022-10-11
The mechanical behavior of many applied materials arises from their microstructure. Thus, to aid the design, development and industrialization of new materials, robust computational homogenization methods are indispensable. The present thesis is devoted to investigating and developing FFT-based micromechanics solvers for efficiently computing the (thermo)mechanical response of nonlinear composite materials with complex microstructures.