A method of determining effective elastic properties of honeycomb cores based on equal strain energy
A computational homogenization technique（CHT） based on the finite element method（FEM） is discussed to predict the effective elastic properties of honeycomb structures.The need of periodic boundary conditions（BCs） is revealed through the analysis for in-plane and out-of-plane shear moduli of models w...
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| Published in | Chinese journal of aeronautics Vol. 30; no. 2; pp. 766 - 779 |
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| Main Authors | , , , |
| Format | Journal Article |
| Language | English |
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Elsevier Ltd
01.04.2017
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| Abstract | A computational homogenization technique（CHT） based on the finite element method（FEM） is discussed to predict the effective elastic properties of honeycomb structures.The need of periodic boundary conditions（BCs） is revealed through the analysis for in-plane and out-of-plane shear moduli of models with different cell numbers.After applying periodic BCs on the representative volume element（RVE）,comparison between the volume-average stress method and the boundary stress method is performed,and a new method based on the equality of strain energy to obtain all non-zero components of the stiffness tensor is proposed.Results of finite element（FE） analysis show that the volume-average stress and the boundary stress keep a consistency over different cell geometries and forms.The strain energy method obtains values that differ from those of the volume-average method for non-diagonal terms in the stiffness matrix.Analysis has been done on numerical results for thin-wall honeycombs and different geometries of angles between oblique and vertical walls.The inaccuracy of the volume-average method in terms of the strain energy is shown by numerical benchmarks. |
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| AbstractList | A computational homogenization technique（CHT） based on the finite element method（FEM） is discussed to predict the effective elastic properties of honeycomb structures.The need of periodic boundary conditions（BCs） is revealed through the analysis for in-plane and out-of-plane shear moduli of models with different cell numbers.After applying periodic BCs on the representative volume element（RVE）,comparison between the volume-average stress method and the boundary stress method is performed,and a new method based on the equality of strain energy to obtain all non-zero components of the stiffness tensor is proposed.Results of finite element（FE） analysis show that the volume-average stress and the boundary stress keep a consistency over different cell geometries and forms.The strain energy method obtains values that differ from those of the volume-average method for non-diagonal terms in the stiffness matrix.Analysis has been done on numerical results for thin-wall honeycombs and different geometries of angles between oblique and vertical walls.The inaccuracy of the volume-average method in terms of the strain energy is shown by numerical benchmarks. A computational homogenization technique (CHT) based on the finite element method (FEM) is discussed to predict the effective elastic properties of honeycomb structures. The need of periodic boundary conditions (BCs) is revealed through the analysis for in-plane and out-of-plane shear moduli of models with different cell numbers. After applying periodic BCs on the representative volume element (RVE), comparison between the volume-average stress method and the boundary stress method is performed, and a new method based on the equality of strain energy to obtain all non-zero components of the stiffness tensor is proposed. Results of finite element (FE) analysis show that the volume-average stress and the boundary stress keep a consistency over different cell geometries and forms. The strain energy method obtains values that differ from those of the volume-average method for non-diagonal terms in the stiffness matrix. Analysis has been done on numerical results for thin-wall honeycombs and different geometries of angles between oblique and vertical walls. The inaccuracy of the volume-average method in terms of the strain energy is shown by numerical benchmarks. |
| Author | Qiu Cheng Guan Zhidong Jiang Siyuan Li Zengshan |
| AuthorAffiliation | School of Aeronautic Science and Engineering, Beihang University, Bejing 100083, China |
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| Cites_doi | 10.1016/j.compositesb.2015.03.085 10.1098/rspa.1982.0087 10.1177/0731684405060567 10.1016/0266-3538(95)00141-7 10.1016/j.compositesb.2016.01.030 10.1108/eb033026 10.1016/j.compstruct.2014.07.057 10.1016/S0020-7683(03)00024-6 10.1016/j.compstruct.2012.01.024 10.1016/S1359-6454(97)00453-9 10.1016/j.mechmat.2015.07.008 10.1007/BF00369853 10.1016/j.ijsolstr.2004.08.005 10.1016/S0167-6636(03)00062-0 10.1016/j.ijsolstr.2006.10.020 10.1016/0020-7683(94)00202-8 10.1016/0022-5096(63)90036-X 10.1016/S0045-7825(96)01196-6 10.1016/0045-7825(84)90067-7 10.1016/S0167-6636(99)00020-4 |
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| Keywords | Homogenization Unit cells Elastic properties Honeycomb Strain energy |
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| Notes | Elastic properties;Homogenization;Honeycomb;Strain energy;Unit cells A computational homogenization technique（CHT） based on the finite element method（FEM） is discussed to predict the effective elastic properties of honeycomb structures.The need of periodic boundary conditions（BCs） is revealed through the analysis for in-plane and out-of-plane shear moduli of models with different cell numbers.After applying periodic BCs on the representative volume element（RVE）,comparison between the volume-average stress method and the boundary stress method is performed,and a new method based on the equality of strain energy to obtain all non-zero components of the stiffness tensor is proposed.Results of finite element（FE） analysis show that the volume-average stress and the boundary stress keep a consistency over different cell geometries and forms.The strain energy method obtains values that differ from those of the volume-average method for non-diagonal terms in the stiffness matrix.Analysis has been done on numerical results for thin-wall honeycombs and different geometries of angles between oblique and vertical walls.The inaccuracy of the volume-average method in terms of the strain energy is shown by numerical benchmarks. 11-1732/V |
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| SubjectTerms | Elastic properties Homogenization Honeycomb Strain energy Unit cells 代表性体积元 周期性边界条件 应变能 弹性性能 性能测定方法 数值结果 有限元法 蜂窝芯 |
| Title | A method of determining effective elastic properties of honeycomb cores based on equal strain energy |
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