Computationally efficient High-Fidelity Generalized Method of Cells micromechanics via order-reduction techniques

Ricks Trenton M.; Lacy Thomas E. Jr.; Pineda Evan J.; Bednarcyk Brett A.; Arnold Steven M.

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Computationally efficient High-Fidelity Generalized Method of Cells micromechanics via order-reduction techniques

机译：计算有效的高保真通用化细胞微力学的降阶技术

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The High-Fidelity Generalized Method of Cells (HFGMC) is a powerful technique for simulating composite materials. The HFGMC uses a higher-order approximation for the subcell displacement field that allows for accurate determination of the subcell stress/strain fields. In order to reduce computational costs associated with the solution of the ensuing system of simultaneous equations, the HFGMC global system of equations for doubly-periodic RUCs was reduced in size through the use of Proper Orthogonal Decomposition. Accurate order-reduced HFGMC models were then implemented within a special purpose finite element user material subroutine and used to perform multiscale composite analyses. A number of cases were presented that demonstrate the computational feasibility of using order reduction techniques to solve solid mechanics problems with complex microstructures. By simulating composite materials in a more computationally efficient manner, a pathway forward is presented for performing high-fidelity multiscale analyses of composite structures. (C) 2016 Elsevier Ltd. All rights reserved.

机译：高保真通用单元格方法（HFGMC）是一种用于模拟复合材料的强大技术。 HFGMC对子单元位移场使用高阶近似，从而可以精确确定子单元应力/应变场。为了减少与随后的联立方程组的解决方案相关的计算成本，通过使用适当的正交分解，减小了双周期RUC的HFGMC整体方程组的大小。然后，在特殊用途的有限元用户材料子例程中实现了精确的降阶HFGMC模型，并用于执行多尺度复合分析。提出了许多案例，这些案例证明了使用降阶技术来解决具有复杂微结构的固体力学问题的计算可行性。通过以更有效的计算方式模拟复合材料，提出了前进的途径，可以对复合结构进行高保真多尺度分析。（C）2016 Elsevier Ltd.保留所有权利。

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来源
《Composite Structures》 |2016年第11期|2-9|共8页
作者
Ricks Trenton M.; Lacy Thomas E. Jr.; Pineda Evan J.; Bednarcyk Brett A.; Arnold Steven M.;
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作者单位

Mississippi State Univ, Dept Aerosp Engn, POB A, Mississippi State, MS 39762 USA;

Mississippi State Univ, Dept Aerosp Engn, POB A, Mississippi State, MS 39762 USA;

NASA, Glenn Res Ctr, Mat & Struct Div, Multiscale Multiphys Modeling Branch, 21000 Brookpk Rd MS 49-7, Cleveland, OH 44135 USA;

NASA, Glenn Res Ctr, Mat & Struct Div, Multiscale Multiphys Modeling Branch, 21000 Brookpk Rd MS 49-7, Cleveland, OH 44135 USA;

NASA, Glenn Res Ctr, Mat & Struct Div, Multiscale Multiphys Modeling Branch, 21000 Brookpk Rd MS 49-7, Cleveland, OH 44135 USA;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
Order-reduction; Micromechanics; Method of cells; Multiscale; Composites;

机译：降序;微力学;细胞方法;多尺度;复合材料;

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专利

1. Solution of the Nonlinear High-Fidelity Generalized Method of Cells Micromechanics Relations via Order-Reduction Techniques [J] . Ricks Trenton M., Lacy Thomas E. Jr., Bednarcyk Brett A., Mathematical Problems in Engineering . 2018,第PTa3期

机译：非线性高保真广义单元微机械关系的降阶技术求解
2. Solution of the Nonlinear High-Fidelity Generalized Method of Cells Micromechanics Relations via Order-Reduction Techniques [J] . Trenton M. Ricks, Thomas E. Lacy, Brett A. Bednarcyk, Mathematical Problems in Engineering: Theory, Methods and Applications . 2018,第6期

机译：非线性高保真广义单元微力学关系的降阶技术求解
3. Solution of the Nonlinear High-Fidelity Generalized Method of Cells Micromechanics Relations via Order-Reduction Techniques [J] . Trenton M. Ricks, Thomas E. Lacy, Brett A. Bednarcyk, Mathematical Problems in Engineering: Theory, Methods and Applications . 2018,第2期

机译：非线性高保真广义单元微力学关系的降阶技术求解
4. Computationally Efficient Solution of the High-Fidelity Generalized Method of Cells Micromechanics Relations [C] . T. M. RICKS, T. E. LACY JR., E. J. PINEDA, Proceedings of the American Society for Composites Thirtieth technical conference . 2015

机译：高保真广义单元微机械关系的计算有效解
5. Multi-Physics Computational Grains (MPCGs): Newly-Developed Accurate and Efficient Numerical Methods for Micromechanical Modeling of Multifunctional Materials and Composites. [D] . Bishay, Peter L. 2014

机译：多物理计算颗粒（MPCG）：用于多功能材料和复合材料微机械建模的最新开发的准确高效的数值方法。
6. An Efficient Method for High-Fidelity BAC/PAC Retrofitting with a Selectable Marker for Mammalian Cell Transfection [O] . Zunde Wang, Peter Engler, Angelika Longacre, 2001

机译：带有选择性标记的哺乳动物细胞转染的高保真BAC / PAC改造的高效方法
7. The High-Fidelity Generalized Method of Cells with arbitrary cell geometry and its relationship to the Parametric Finite-Volume Micromechanics [O] . Cavalcante Marcio A.A., Lages Eduardo N., Marques Severino P.C., 2012

机译：具有任意单元几何的单元的高保真广义方法及其与参数有限体积微力学的关系

Computationally efficient High-Fidelity Generalized Method of Cells micromechanics via order-reduction techniques

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