Deep material networks for efficient scale-bridging in thermomechanical simulations of solids PDF Download
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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: 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: 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: Franz Roters
Publisher: John Wiley & Sons
ISBN: 3527642099
Category : Technology & Engineering
Languages : en
Pages : 188
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Book Description
Written by the leading experts in computational materials science, this handy reference concisely reviews the most important aspects of plasticity modeling: constitutive laws, phase transformations, texture methods, continuum approaches and damage mechanisms. As a result, it provides the knowledge needed to avoid failures in critical systems udner mechanical load. With its various application examples to micro- and macrostructure mechanics, this is an invaluable resource for mechanical engineers as well as for researchers wanting to improve on this method and extend its outreach.
Author: Wei Song
Publisher: Frontiers Media SA
ISBN: 2889663809
Category : Technology & Engineering
Languages : en
Pages : 213
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Book Description
Author: J.C. Simo
Publisher: Springer Science & Business Media
ISBN: 0387227636
Category : Computers
Languages : en
Pages : 405
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Book Description
A description of the theoretical foundations of inelasticity, its numerical formulation and implementation, constituting a representative sample of state-of-the-art methodology currently used in inelastic calculations. Among the numerous topics covered are small deformation plasticity and viscoplasticity, convex optimisation theory, integration algorithms for the constitutive equation of plasticity and viscoplasticity, the variational setting of boundary value problems and discretization by finite element methods. Also addressed are the generalisation of the theory to non-smooth yield surface, mathematical numerical analysis issues of general return mapping algorithms, the generalisation to finite-strain inelasticity theory, objective integration algorithms for rate constitutive equations, the theory of hyperelastic-based plasticity models and small and large deformation viscoelasticity. Of great interest to researchers and graduate students in various branches of engineering, especially civil, aeronautical and mechanical, and applied mathematics.
Author: Robert W. Balluffi
Publisher: John Wiley & Sons
ISBN: 0471749303
Category : Science
Languages : en
Pages : 672
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Book Description
A classroom-tested textbook providing a fundamental understandingof basic kinetic processes in materials This textbook, reflecting the hands-on teaching experience of itsthree authors, evolved from Massachusetts Institute of Technology'sfirst-year graduate curriculum in the Department of MaterialsScience and Engineering. It discusses key topics collectivelyrepresenting the basic kinetic processes that cause changes in thesize, shape, composition, and atomistic structure of materials.Readers gain a deeper understanding of these kinetic processes andof the properties and applications of materials. Topics are introduced in a logical order, enabling students todevelop a solid foundation before advancing to more sophisticatedtopics. Kinetics of Materials begins with diffusion, offering adescription of the elementary manner in which atoms and moleculesmove around in solids and liquids. Next, the more complex motion ofdislocations and interfaces is addressed. Finally, still morecomplex kinetic phenomena, such as morphological evolution andphase transformations, are treated. Throughout the textbook, readers are instilled with an appreciationof the subject's analytic foundations and, in many cases, theapproximations commonly used in the field. The authors offer manyextensive derivations of important results to help illuminate theirorigins. While the principal focus is on kinetic phenomena incrystalline materials, select phenomena in noncrystalline materialsare also discussed. In many cases, the principles involved apply toall materials. Exercises with accompanying solutions are provided throughoutKinetics of Materials, enabling readers to put their newfoundknowledge into practice. In addition, bibliographies are offeredwith each chapter, helping readers to investigate specializedtopics in greater detail. Several appendices presenting importantbackground material are also included. With its unique range of topics, progressive structure, andextensive exercises, this classroom-tested textbook provides anenriching learning experience for first-year graduate students.
Author: Konstantin Naumenko
Publisher: Springer Science & Business Media
ISBN: 3540708391
Category : Technology & Engineering
Languages : en
Pages : 220
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Book Description
This book develops methods to simulate and analyze the time-dependent changes of stress and strain states in engineering structures up to the critical stage of creep rupture. The objective of this book is to review some of the classical and recently proposed approaches to the modeling of creep for structural analysis applications. It also aims to extend the collection of available solutions of creep problems by new, more sophisticated examples.
Author: Young Kwon
Publisher: Springer Science & Business Media
ISBN: 0387363181
Category : Technology & Engineering
Languages : en
Pages : 634
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Book Description
This book presents the state-of-the-art in multiscale modeling and simulation techniques for composite materials and structures. It focuses on the structural and functional properties of engineering composites and the sustainable high performance of components and structures. The multiscale techniques can be also applied to nanocomposites which are important application areas in nanotechnology. There are few books available on this topic.
Author:
Publisher:
ISBN:
Category : Mechanics, Applied
Languages : en
Pages : 390
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Book Description
Author:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 312
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Book Description
