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基于新修正偶应力理论的Mindlin层合板热稳定性分析
Thermal buckling analysis of composite laminated Mindlin plate founded in the new modified couple stress theory
投稿时间:2018-10-27  修订日期:2018-12-18
DOI:
中文关键词:  新修正偶应力理论  Mindlin层合板  热稳定性  控制方程  尺度效应
英文关键词:New modified couple stress theory  Mindlin laminate plate  thermal stability  governing equations  length scale parameter
基金项目:51406124
作者单位E-mail
张大千 沈阳航空航天大学 2425885917@qq.com 
王良秀 沈阳航空航天大学 2425885917@qq.com 
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中文摘要:
      以新修正偶应力理论为基础,首次提出了机械载荷与热载荷共同作用下的微尺度Mindlin层合板热稳定性模型,该模型只引入一个材料尺度参数,通过虚功原理推导出了控制方程和边界条件,以四边简支方板为例,进行了热稳定性分析,应用纳维叶解法得到解析解。结果表明:所建模型可以捕捉到尺度效应。材料尺度参数值越大,屈曲临界温度越高;当跨厚比增大时,屈曲临界温度下降;随着板几何参数的增大,模型将退化为宏观模型;温度变化量越大,考虑热载荷作用下的临界屈曲载荷越大,尺度效应体现的越显著。
英文摘要:
      Based on the new modified couple stress theory, first time proposed a thermal stability model of Mindlin laminates plate under the interaction between mechanical and thermal loads The model introduces only one material-scale parameter and through the principle of virtual work obtained the stability equations and boundary conditions. Using the square plate with four sides simply supported as an example, the analytical solution is obtained by using Navier's method. The results show that the scale effect can be captured by the model. The buckling critical temperature goes up when the material scale parameter increase; when the span-thickness ratio increase, the buckling critical temperature decrease; with the increase of the plate geometry parameter, the model will degenerate into macroscopic model; when the temperature change lager , the buckling critical load under thermal load became lager and the scale effect became more obvious.
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