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ANCF Multiplicative-Decomposition Thermoelastic Approach for Arbitrary Geometry
| 题名： | ANCF Multiplicative-Decomposition Thermoelastic Approach for Arbitrary Geometry |
| 正文语种： | eng |
| 作者： | Shabana, Ahmed A.;Zhang, Dayu |
| 作者单位： | Univ Illinois Dept Mech & Ind Engn 842 West Taylor St Chicago IL 60607 USA;Northwestern Polytech Univ Sch Astronaut Xian 710072 Shaanxi Peoples R China |
| 关键词： | Thermal analysis;Reference-configuration geometry;Position gradients;Absolute nodal coordinate formulation (ANCF);Poisson effect |
| 摘要： | The classical approach for the thermal analysis of solids and fluids uses the strain additive decomposition to account for the effect of the temperature. This strain-based approach does not properly capture the effect of complex stress-free reference-configuration geometry, is applicable only to small deformation problems, and leads to simplified expression for the Green-Lagrange strain tensor. In view of the geometric description of the absolute nodal coordinate formulation (ANCF), a new ANCF gradient-based approach is proposed. This approach employs a multiplicative decomposition of the matrix of position-gradient vectors in the stress-free reference configuration into two position-gradient matrices. One matrix is associated with the reference-configuration geometry before the application of the thermal load, and the other accounts for the volumetric change due to the change in temperature. A numerical study demonstrated the implementation of the proposed gradient-based approach. (C) 2021 American Society of Civil Engineers. |
| 出版年： | 2021 |
| 期刊名称： | Journal of structural engineering |
| 卷： | 147 |
| 期： | 7 |
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