TY - JOUR
T1 - Creep buckling of viscoelastic plates with geometrical nonlinearity
AU - Sun, Yuanxiang
AU - Ning, Jianguo
AU - Liu, Jing
PY - 2006/1
Y1 - 2006/1
N2 - The creep buckling behavior of viscoelastic plates with initial deflections, subjected to axial compressive force, is analyzed. The von Karman nonlinear geometry equations are introduced in the thesis and standard linear solid model is employed. In order to change the nonlinear integral equations to a nonlinear algebraic equation which can be solved by using a standard subroutine, the trapezium method is used to calculate the hereditary integral expression, then the creep deformation of viscoelastic plate is obtained. Meanwhile, the instantaneous critical loads, durable critical loads are obtained. On the other hand, the problem of creep buckling is analyzed by using the linear geometric theory, an analytical solution of deflection varying with time is obtained. The influence of geometry nonlinearity on the creep buckling of viscoelastic plates is studied.
AB - The creep buckling behavior of viscoelastic plates with initial deflections, subjected to axial compressive force, is analyzed. The von Karman nonlinear geometry equations are introduced in the thesis and standard linear solid model is employed. In order to change the nonlinear integral equations to a nonlinear algebraic equation which can be solved by using a standard subroutine, the trapezium method is used to calculate the hereditary integral expression, then the creep deformation of viscoelastic plate is obtained. Meanwhile, the instantaneous critical loads, durable critical loads are obtained. On the other hand, the problem of creep buckling is analyzed by using the linear geometric theory, an analytical solution of deflection varying with time is obtained. The influence of geometry nonlinearity on the creep buckling of viscoelastic plates is studied.
KW - Creep buckling
KW - Durable critical load
KW - Geometrical nonlinearity
KW - Instantaneous critical load
KW - Viscoelastic plate
UR - http://www.scopus.com/inward/record.url?scp=33646746253&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:33646746253
SN - 0459-1879
VL - 38
SP - 41
EP - 48
JO - Lixue Xuebao/Chinese Journal of Theoretical and Applied Mechanics
JF - Lixue Xuebao/Chinese Journal of Theoretical and Applied Mechanics
IS - 1
ER -