Calculation of Structural Local Elastoplastic Random Responses under Low Cycle Fatigue Loading
In low cycle fatigue analysis the local stress and strain method is widely used. The calculation precision of the local stress and strain decides the accuracy of life prediction. Two methods are often used to decide the local stress and strain response: Neuber method and finite element method (FEM). In practice many uncertainties affect the components and structures, the local stress and strain responses are random. The Neuber method and FEM were improved to probabilistic Neuber method and elastoplastic stochastic finite element method (SFEM) to consider the engineering uncertainties. In probabilistic Neuber method the cyclic stress-strain responses, Neubers rule and cyclic strain-life relation were treated as probabilistic curves, the randomness of the theory of fatigue damage accumulation was considered, the probabilistic analysis was constructed based on the first-order Taylors series expansions. The Taylor expansion elastoplastic SFEM under fatigue loading was deduced. The aeolotropism and Bauschinger effect resulted from plastic deformation under cyclic loading were reflected by the kinematic hardening model. The yield-stress increment could solve the plastic hysteresis problems in SFEM including cycle-hardening or cycle-softening phenomenon. The random responses of local multiaxial stress and strain can be calculated by the SFEM proposed.
Low cycle fatigue Local stress and strain Neuber method Probability analysis Stochastic finite element method
Hui Jin
College of Civil Engineering, Southeast University, Nanjing 210096, China
国际会议
南京
英文
755-761
2007-10-16（万方平台首次上网日期，不代表论文的发表时间）