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Author: Wicht, Daniel Publisher: KIT Scientific Publishing ISBN: 3731512203 Category : Science Languages : en Pages : 336
Book Description
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.
Author: Wicht, Daniel Publisher: KIT Scientific Publishing ISBN: 3731512203 Category : Science Languages : en Pages : 336
Book Description
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.
Author: Gajek, Sebastian Publisher: KIT Scientific Publishing ISBN: 3731512785 Category : Languages : en Pages : 326
Book Description
We investigate deep material networks (DMN). We lay the mathematical foundation of DMNs and present a novel DMN formulation, which is characterized by a reduced number of degrees of freedom. We present a efficient solution technique for nonlinear DMNs to accelerate complex two-scale simulations with minimal computational effort. A new interpolation technique is presented enabling the consideration of fluctuating microstructure characteristics in macroscopic simulations.
Author: Ernesti, Felix Publisher: KIT Scientific Publishing ISBN: 3731512858 Category : Technology & Engineering Languages : en Pages : 264
Book Description
Materials of industrial interest often show a complex microstructure which directly influences their macroscopic material behavior. For simulations on the component scale, multi-scale methods may exploit this microstructural information. This work is devoted to a multi-scale approach for brittle materials. Based on a homogenization result for free discontinuity problems, we present FFT-based methods to compute the effective crack energy of heterogeneous materials with complex microstructures.
Author: Lang, Juliane Publisher: KIT Scientific Publishing ISBN: 3731512327 Category : Languages : en Pages : 250
Book Description
The aim of this work is to model and experimentally characterize the anisotropic material behavior of SMC composites on the macroscale with consideration of the microstructure. Temperature-dependent thermoelastic behavior and failure behavior are modeled and the corresponding material properties are determined experimentally. Additionally, experimental biaxial damage investigations are performed. A parameter identification merges modeling and experiments and validates the models.
Author: Kuhn, Jannick Publisher: KIT Scientific Publishing ISBN: 3731512726 Category : Technology & Engineering Languages : en Pages : 224
Book Description
Computational homogenization permits to capture the influence of the microstructure on the cyclic mechanical behavior of polycrystalline metals. In this work we investigate methods to compute Laguerre tessellations as computational cells of polycrystalline microstructures, propose a new method to assign crystallographic orientations to the Laguerre cells and use Bayesian optimization to find suitable parameters for the underlying micromechanical model from macroscopic experiments.
Author: Bauer, Julian Karl Publisher: KIT Scientific Publishing ISBN: 3731512629 Category : Technology & Engineering Languages : en Pages : 252
Book Description
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.
Author: Charles Van Loan Publisher: SIAM ISBN: 9781611970999 Category : Mathematics Languages : en Pages : 286
Book Description
The most comprehensive treatment of FFTs to date. Van Loan captures the interplay between mathematics and the design of effective numerical algorithms--a critical connection as more advanced machines become available. A stylized Matlab notation, which is familiar to those engaged in high-performance computing, is used. The Fast Fourier Transform (FFT) family of algorithms has revolutionized many areas of scientific computation. The FFT is one of the most widely used algorithms in science and engineering, with applications in almost every discipline. This volume is essential for professionals interested in linear algebra as well as those working with numerical methods. The FFT is also a great vehicle for teaching key aspects of scientific computing.
Author: Wicht, Daniel
Author: Wicht, Daniel
Author: Gajek, Sebastian
Author: Ernesti, Felix
Author: Lang, Juliane
Author: Kuhn, Jannick
Author: Bauer, Julian Karl
Author: Charles Van Loan
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