3-D Nonlinear Constitutive Modeling Approach for Composite Materials PDF Download
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Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 53
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Book Description
This program outlines a three step process to develop nonlinear composite material models, and incorporate those models in a general, large scale structural finite element analysis code. The steps include detailed finite element analyses at the micromechanical (fiber-matrix) level to study material response and nonlinear mechanisms, development of a simplified material model that is representative of the behavior observed in the micromechanical analyses, and the inclusion of the simplified model in the large scale finite element analysis. Only the first two steps are addressed in this paper. Micromechanical finite element analyses of AS4/3501-6 and S2/3501-6 determined stress-strain responses for in-plane and transverse shear, transverse tension and transverse compression. Variation of the predicted behavior with failure criteria and comparisons to experimental data were also shown. The performance of a simplified material model based on a unit cell analogy was compared to the behavior observed in the micromechanical analyses.
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 53
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Book Description
This program outlines a three step process to develop nonlinear composite material models, and incorporate those models in a general, large scale structural finite element analysis code. The steps include detailed finite element analyses at the micromechanical (fiber-matrix) level to study material response and nonlinear mechanisms, development of a simplified material model that is representative of the behavior observed in the micromechanical analyses, and the inclusion of the simplified model in the large scale finite element analysis. Only the first two steps are addressed in this paper. Micromechanical finite element analyses of AS4/3501-6 and S2/3501-6 determined stress-strain responses for in-plane and transverse shear, transverse tension and transverse compression. Variation of the predicted behavior with failure criteria and comparisons to experimental data were also shown. The performance of a simplified material model based on a unit cell analogy was compared to the behavior observed in the micromechanical analyses.
Author:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 704
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Book Description
Author: Scott E. Groves
Publisher: ASTM International
ISBN: 0803114990
Category : Composite materials
Languages : en
Pages : 372
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Book Description
Author: Wei Sun
Publisher:
ISBN:
Category :
Languages : en
Pages : 406
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Book Description
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: Erian Armanios
Publisher: DEStech Publications, Inc
ISBN: 1932078444
Category : Technology & Engineering
Languages : en
Pages : 1464
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Book Description
Highlights the recent developments in the fundamental understanding of composites; important information for researchers and composite scientists.
Author: Min Lin
Publisher:
ISBN:
Category : Artificial intelligence
Languages : en
Pages : 0
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Book Description
Composites have undergone significant growth in recent decades, primarily due to their exceptional strength-to-weight ratio. However, modeling the mechanical behavior of composites with complex microstructures still remains a great challenge. One approach to address this challenge is to utilize direct numerical modeling, which accounts for the intricate microscale details and nonlinear constitutive laws, and leverage advanced numerical techniques, such as the Interface-enriched Generalized Finite Element Method (IGFEM). Nevertheless, the high computational cost associated with this method often becomes a limiting factor. Reduced Order Modeling (ROM) has emerged as a technique to mitigate the computational cost by building upon the Eigendeformation-based reduced-order homogenization model (EHM). This approach significantly reduces the computational cost associated with the microscale problem by developing a reduced-order representation of the full field microscale problem, allowing flexible control of the model order to balance the accuracy and efficiency. This research advances EHM from multiple fronts. Inspired by the adaptive mesh refinement in the finite element method, both uniform and non-uniform adaptive ROMs have been developed. The idea is to start the modeling of microstructure with a coarse ROM, and gradually switch to a finer ROM when localized response starts. The adaptive ROM approach enhances the modeling of composite materials by providing greater flexibility in controlling the order of ROM to balance the computational cost and efficiency. We further developed a load-dependent ROM, which accounts for known characteristics of the loading the microstructure is going to experience, and construct the ROM accordingly. Numerical examples indicate that by incorporating load-dependent information into the EHM, more accurate stress-strain responses can be obtained. Additionally, we adopt the Physics-Informed Neural Network (PINN) to assist the pre-processing in EHM, where linear elastic analysis of the microstructure is needed for solving the so-called influence function problems. PINN could potentially utilize the similarities between a large number of microstructures generated from the same statistical distribution, providing a paradigm for efficient evaluation of the response envelops of statistical microstructures when used with EHM.
Author: George Chatzigeorgiou
Publisher: Elsevier
ISBN: 0128233702
Category : Technology & Engineering
Languages : en
Pages : 366
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Book Description
Multiscale Modeling Approaches for Composites outlines the fundamentals of common multiscale modeling techniques and provides detailed guidance for putting them into practice. Various homogenization methods are presented in a simple, didactic manner, with an array of numerical examples. The book starts by covering the theoretical underpinnings of tensors and continuum mechanics concepts, then passes to actual micromechanic techniques for composite media and laminate plates. In the last chapters the book covers advanced topics in homogenization, including Green’s tensor, Hashin-Shtrikman bounds, and special types of problems. All chapters feature comprehensive analytical and numerical examples (Python and ABAQUS scripts) to better illustrate the theory. Bridges theory and practice, providing step-by-step instructions for implementing multiscale modeling approaches for composites and the theoretical concepts behind them Covers boundary conditions, data-exchange between scales, the Hill-Mandel principle, average stress and strain theorems, and more Discusses how to obtain composite properties using different boundary conditions Includes access to a companion site, featuring the numerical examples, Python and ABACUS codes discussed in the book
Author:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 230
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Book Description
Author: A.G. Kolpakov
Publisher: Springer Science & Business Media
ISBN: 3540452117
Category : Science
Languages : en
Pages : 239
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Book Description
The mechanics of structures with initial stresses is a traditional part of structural mechanics. It is closely related to the important problem of stability of structures. The basic concepts of elastic stability of structures go back to works by Euler (1759) and Bryan (1889). Later, it was found that the problem of deformation of solids with initial stresses is related to variational principles and nonlinear problems in elasticity; see Trefftz (1933), Marguerre (1938), Prager (1947), Hill (1958), Washuzu (1982). Historical detail up to the 1940s can be found in the book by Timoshenko (1953). Observing the basic concepts of the traditional mechanics of stressed structures, we agree that these are suitable for uniform structural elements (plates, beams, and so on) made of homogeneous materials, but not for complex structures (such as a network plate or a lattice mast) or structures made of composite materials (such as fiber reinforced or textile materials). Many concepts of the classical theory, such as a cross section or neutral plane (axis), correspond to no mechanical objects if we consider an inhomogeneous structure. As a result, we come to the conclusion that it would be useful to have a theory of thin inhomogeneous structures developed on the basis of 3-D elasticity theory with no simplifying assumptions (with no a priori hypothesis).
