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**FEM analyses of steel members and connections considering damage cumulation effects under cyclic loading.**
*(English)*
Zbl 1233.74025

Summary: Due to the expansion of micro defects, the mechanical properties of structural steel, such as yielding strength, Young’s modulus and hardening coefficient will deteriorate under cyclic loadings, and low cycles fatigue failure may take place. Based on continuum damage theory and experimental results, a cumulative damage mechanics model using effective plastic strain is suggested. A general procedure of FEM analysis considering damage cumulation effects is presented and damage crack criterion is proposed as well. Cantilever members subjected to cyclic loading are numerically simulated with FEM program which took the damage cumulation into consideration. The analytical results agree very well with the experiments, and hence, the proposed cumulative damage mechanics model is demonstrated to be accurate enough to simulate the behavior of steel structures under seismic loading. Since the model proposed in the paper can also calculate the cumulation of the damage, it means that the method can also be adopted to access the seismic behavior of steel structures under earthquakes.