Homogenization and materials design of mechanical properties of textured materials based on zeroth-, first- and second-order bounds of linear behavior PDF Download
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Author: Lobos Fernández, Mauricio
Publisher: KIT Scientific Publishing
ISBN: 3731507706
Category : Materials
Languages : en
Pages : 224
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Book Description
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.
Author: Lobos Fernández, Mauricio
Publisher: KIT Scientific Publishing
ISBN: 3731507706
Category : Materials
Languages : en
Pages : 224
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Book Description
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.
Author: Bauer, Julian Karl
Publisher: KIT Scientific Publishing
ISBN: 3731512629
Category : Technology & Engineering
Languages : en
Pages : 252
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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: Albiez, Jürgen
Publisher: KIT Scientific Publishing
ISBN: 3731509180
Category : Technology & Engineering
Languages : en
Pages : 222
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Book Description
A single-crystal plasticity model as well as a gradient crystal plasticity model are used to describe the creep behavior of directionally solidi?ed NiAl based eutectic alloys. To consider the transition from theoretical to bulk strength, a hardening model was introduced to describe the strength of the reinforcing phases. Moreover, to account for microstructural changes due to material ?ux, a coupled diffusional-mechanical simulation model was introduced.
Author: Gajek, Sebastian
Publisher: KIT Scientific Publishing
ISBN: 3731512785
Category :
Languages : en
Pages : 326
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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: Hölz, Peter
Publisher: KIT Scientific Publishing
ISBN: 3731509881
Category : Technology & Engineering
Languages : en
Pages : 294
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Book Description
Author: Ernesti, Felix
Publisher: KIT Scientific Publishing
ISBN: 3731512858
Category : Technology & Engineering
Languages : en
Pages : 264
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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: Wicht, Daniel
Publisher: KIT Scientific Publishing
ISBN: 3731512203
Category : Science
Languages : en
Pages : 336
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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: Prahs, Andreas
Publisher: KIT Scientific Publishing
ISBN: 3731510251
Category : Technology & Engineering
Languages : en
Pages : 182
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Book Description
An overview of different methods for the derivation of extended continuum models is given. A gradient plasticity theory is established in the context of small deformations and single slip by considering the invariance of an extended energy balance with respect to Euclidean transformations, where the plastic slip is considered as an additional degree of freedom. Thermodynamically consistent flow rules at the grain boundary are derived. The theory is applied to a two- and a three-phase laminate.
Author: Kehrer, Maria Loredana
Publisher: KIT Scientific Publishing
ISBN: 3731509245
Category : Technology & Engineering
Languages : en
Pages : 204
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Book Description
A discontinuous fiber-reinforced thermoset material produced by the Sheet Molding Compound process is investigated. Due to the process-related fiber orientation distribution, a composite with an anisotropic microstructure is created which crucially affects the mechanical properties. The central objectives are the modeling of the thermoelastic behavior of the composite accounting for the underlying microstructure, and the experimental characterization of the pure resin and the composite material.
Author: Schemmann, Malte
Publisher: KIT Scientific Publishing
ISBN: 3731508184
Category : Automobile industry and trade
Languages : en
Pages : 194
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Book Description
The focus of this work lies on the microstructure-based modeling and characterization of a discontinuous fiber-reinforced thermoset in the form of sheet molding compound (SMC). A microstructure-based parameter identification scheme for SMC with an inhomogeneous fiber orientation distribution is introduced. Different cruciform specimen designs, including two concepts to reinforce the specimens' arms are evaluated. Additionally, a micromechanical mean-field damage model for the SMC is introduced.
