| GENERALIZED VARIATIONAL PRINCIPLESFOR VISCOELASTIC THIN AND THICK PLATES WITH DAMAGE |
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| 引用本文： | ShengDongfa ChengChangjun. GENERALIZED VARIATIONAL PRINCIPLESFOR VISCOELASTIC THIN AND THICK PLATES WITH DAMAGE[J]. Acta Mechanica Solida Sinica, 2004, 17(1): 65-73. DOI: 10.1007/s10338-004-0409-8 |
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| 作者姓名： | ShengDongfa ChengChangjun |
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| 作者单位： | ShanghaiInstituteofAppliedMathematicsandMechanics,DepartmentofMechanics,ShanghaiUniversity,Shanghai200072,China |
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| 基金项目： | Project supported by the National Natural Sciences Foundation of China (No. 10272069)，the Shanghai Key Subject Program. |
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| 摘 要： | From the constitutive model with generalized force fields for a viscoelastic body with damage, the differential equations of motion for thin and thick plates with damage are derived under arbitrary boundary conditions. The convolution-type functionals for the bending of viscoelastic thin and thick plates with damage are presented, and the corresponding generalized variational principles are given. From these generalized principles, all the basic equations of the displacement and damage variables and initial and boundary conditions can be deduced. As an example, we compare the difference between the dynamical properties of plates with and without damage and consider the effect of damage on the dynamical properties of plates.
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| 关 键 词： | 随机边界条件 力学行为 粘弹性材料 固体力学 |
| 收稿时间： | 2003-01-24 |
GENERALIZED VARIATIONAL PRINCIPLES FOR VISCOELASTIC THIN AND THICK PLATES WITH DAMAGE |
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| Sheng Dongfa Cheng Changjun. GENERALIZED VARIATIONAL PRINCIPLES FOR VISCOELASTIC THIN AND THICK PLATES WITH DAMAGE[J]. Acta Mechanica Solida Sinica, 2004, 17(1): 65-73. DOI: 10.1007/s10338-004-0409-8 |
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| Authors: | Sheng Dongfa Cheng Changjun |
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| Affiliation: | (1) Shanghai Institute of Applied Mathematics and Mechanics, Department of Mechanics, Shanghai University, 200072 Shanghai, China;(2) Institute of Civil Engineering, Institute of Engineering Mechanics, Nanchang University, 330029 Nanchang, China |
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| Abstract: | From the constitutive model with generalized force fields for a viscoelastic body with damage, the differential equations of motion for thin and thick plates with damage are derived under arbitrary boundary conditions. The convolution-type functionals for the bending of viscoelastic thin and thick plates with damage are presented, and the corresponding generalized variational principles are given. From these generalized principles, all the basic equations of the displacement and damage variables and initial and boundary conditions can be deduced. As an example, we compare the difference between the dynamical properties of plates with and without damage and consider the effect of damage on the dynamical properties of plates. |
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| Keywords: | viscoelastic materials with damage convolution-type functional generalized vari- ational principle thin plate and thick plate dynamical behavior |
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