According to the increment virtual displacement principle based on the updated Lagrange configuration and 3D space thin-walled member theory
the solutions of equilibrium equations under stretch-bending
compression-bending
pure bending and torsion
are taken as the interpolation functions
and the geometrical nonlinear stiffness matrix of space thin-walled beam-column elements considering cross-section warping effect is derived. The Von Mises yield criterion in combination with the Zeigler mixed hardening assumption which takes the Bauschinger effect and yield surface expansion into account and an association flow rule is incorporated into the material nonlinearity consideration
and the constitutive equations based on isotropic plastic accumulative damage are considered in the process. The accuracy and efficiency of the proposed analytical configuration are verified by numerical examples
and the method may provide a foundation for the advanced analysis of space steel frames considering damage.
关键词
Keywords
references
CHEN W F, TOMA S. Advanced analysis of steel frames: theory, software, and application [M]. London, UK: CRC Press Inc., 1996: 26-35.
CHEN W F, KINM S E. LRFD steel design using advanced analysis [M]. London, UK: CRC Press Inc., 1997: 46-82.
余寿文, 冯西桥. 损伤力学[M]. 北京: 清华大学出版社. 1997: 1-31.
LEMAITRE J. A course on damage mechanics [M]. Berlin, Germany: Springer-Verlag, 1992: 1-76.
SONG Zhensen, GU Qiang, SU Mingzhou. Large deflection finite element method model based on damage theory and mixed hardening [J]. Journal of Xi'an Jiaotong University, 2000, 34(11): 95-98.
CHEN W F, HAN D J. Plasticity for structural engineers [M]. New York, USA: Springer-Verlag, 1988: 26-88.
YANG Y B, KUO S R. Theory and analysis of nonlinear frame structure [M]. Singapore: Prentice Hall, 1994: 30-39.
LIEW J Y R, CHEN Hong, SHANMUGAM N E, et al. Improved nonlinear plastic hinge analysis of space frame structures [J]. Engineering Structures, 2000, 22(10): 1324-1338.