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| 损伤粘弹性厚板的基本动力学方程 | |
| 引用本文： | 盛冬发,程昌钧,扶名福. 损伤粘弹性厚板的基本动力学方程[J]. 上海大学学报(自然科学版), 2003, 9(6): 523-528 |
| 作者姓名： | 盛冬发 程昌钧 扶名福 |
| 作者单位： | 1. 上海大学,上海市应用数学与力学研究所力学系,上海,200072;南昌大学,土木工程学院工程力学研究所,南昌,330029 2. 上海大学,上海市应用数学与力学研究所力学系,上海,200072 3. 南昌大学,土木工程学院工程力学研究所,南昌,330029 |
| 基金项目： | 国家自然科学基金 (1 0 2 72 0 6 9)资助项目，上海市重点学科建设项目 |
| 摘 要： | 该文从粘弹性损伤的基本方程出发，采用带损伤的粘弹性积分型本构关系，利用推导弹性厚板方程相类似的方法，推导了带损伤粘弹性厚板含剪切、挤压及转动惯性效应的动力学方程．它是损伤弹性薄板动力学方程的推广．因此，当不考虑剪切、挤压和转动惯性效应时，此方程还可退化得到粘弹性损伤薄板的动力学方程． |
| 关 键 词： | 粘弹性损伤 中厚板 动力方程 剪切 挤压 转动惯性效应 板结构 |
| 文章编号： | 1007-2861(2003)06-0523-06 |
| 修稿时间： | 2003-04-30 |
Dynamical Equation for Thick Viscoelastic Plate with Voids |
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| SHENG Dong-fa. Dynamical Equation for Thick Viscoelastic Plate with Voids[J]. Journal of Shanghai University(Natural Science), 2003, 9(6): 523-528 | |
| Authors: | SHENG Dong-fa |
| Affiliation: | SHENG Dong-fa~ |
| Abstract: | Based on the constitutive equations and integral-type constitutive model of viscoelastic solids, with damage motion differential equations are presented for a general thick viscoelastic plate with damage, including effects of shear deformation, extrusion deformation and rotatory inertia. The derivation is similar to that for the equations of thick elastic plates. These equations are generalization of motion differential equations for the corresponding viscoelastic thin plate with damage. Ignoring shear deformation, extrusion deformation and rotatory inertia, they can be degenerated into motion differential equations for viscoelastic thin plate with damage. |
| Keywords: | viscoelastic solids with damage thick plate dynamical equations |
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