On the durable critic load in creep buckling of viscoelastic laminated plates and circular cylindrical shells  

作　　者：PENG Fan FU YiMing LIU YiFan 

机构地区：[1]College of Mechanics and Aerospace,Hunan University,Changsha 410082,China

出　　处：《Science China(Physics,Mechanics & Astronomy)》2008年第7期873-882,共10页中国科学：物理学、力学、天文学（英文版）

基　　金：the Natural Science Foundation of Hunan Province (Grant No. 05JJ3008);the National Natural Science Foundation of China (Grant No. 10572049)

摘　　要：Based on the first order shear deformation theory and classic buckling theory, the paper investigates the creep buckling behavior of viscoelastic laminated plates and laminated circular cylindrical shells. The analysis and elaboration of both instantaneous elastic critic load and durable critic load are emphasized. The buckling load in phase domain is obtained from governing equations by applying Laplace transform, and the instantaneous elastic critic load and durable critic load are determined according to the extreme value theorem for inverse Laplace transform. It is shown that viscoelastic approach and quasi-elastic approach yield identical solutions for these two types of critic load respectively. A transverse disturbance model is developed to give the same mechanics significance of durable critic load as that of elastic critic load. Two types of critic loads of boron/epoxy composite laminated plates and circular cylindrical shells are discussed in detail individually, and the influencing factors to induce creep buckling are revealed by examining the viscoelasticity incorporated in transverse shear deformation and in-plane flexibility.Based on the first order shear deformation theory and classic buckling theory, the paper investigates the creep buckling behavior of viscoelastic laminated plates and laminated circular cylindrical shells. The analysis and elaboration of both instantaneous elastic critic load and durable critic load are emphasized. The buckling load in phase domain is obtained from governing equations by applying Laplace transform, and the instantaneous elastic critic load and durable critic load are determined according to the extreme value theorem for inverse Laplace transform. It is shown that viscoelastic approach and quasi-elastic approach yield identical solutions for these two types of critic load respectively. A transverse disturbance model is developed to give the same mechanics significance of durable critic load as that of elastic critic load. Two types of critic loads of boron/epoxy composite laminated plates and circular cylindrical shells are discussed in detail individually, and the influencing factors to induce creep buckling are revealed by examining the viscoelasticity incorporated in transverse shear deformation and in-plane flexibility.

关 键 词：VISCOELASTICITY LAMINATED plate and shell creep BUCKLING instantaneous elastic CRITIC LOAD durable CRITIC LOAD transverse shear deformation 

分 类 号：O345[理学—固体力学]