Microplane damage plastic model for plain concrete subjected to compressive fatigue loading

Abstract

A thermodynamically based microplane fatigue damage model for plain concrete under compressive loading is introduced. The key idea of the present approach is to relate the fatigue damage to a cumulative measure of inelastic sliding/shear strains. Which reflects the fatigue damage accumulation owing to internal friction at subcritical fatigue loading level. The model is formulated within the microplane framework using a homogenization approach based on the energy equivalence principle with explicit representation of the effective triaxial elastic stiffness. The model can reflect the damage-induced anisotropic behavior of concrete and can reproduce the shape of the hysteretic loops related to the fatigue damage development within the tensorial representation of the material state. Elementary studies of the model response and its applicability to modeling of the fatigue response under compression are presented. The ability to reproduce the typical shape of the hysteretic loops is discussed and compared to the existing phenomenological fatigue models for concrete under compression.1 Table 1: General classification of approaches to modeling of concrete fatigue Lifetime based approaches Strain based approaches Strain approximations Damage approximations Tensorial models Microplane models Discrete models Liu [1] Pfanner [2] Alliche [4] Desmorat [6] Kirane and Bazant [8] Wang [9]

Stress configuration‐based classification of current research on fatigue of reinforced and prestressed concrete

“…By providing this state representation, the model is able to capture the key phenomenon of concrete fatigue, namely the triaxial fatigue-induced stress redistribution under subcritical cyclic loading. 97,105,106 The ability of the model, called MS1, to reproduce the fatigue induced triaxial stress redistribution in a material zone using a single point model as shown in Figure 4 is particularly important for high-cycle fatigue testing with up to millions of loading cycles. The computational efficiency of this macroscale idealization has been exploited in calibration and validation studies.…”

“…The concept of the microplane theory, 103,104 which introduces an additional level of state representation below the material point level, was used to implement the fatigue degradation hypothesis 57 into a hemispherical state representation (see Figure 4). By providing this state representation, the model is able to capture the key phenomenon of concrete fatigue, namely the triaxial fatigue‐induced stress redistribution under subcritical cyclic loading 97,105,106 . The ability of the model, called MS1, to reproduce the fatigue induced triaxial stress redistribution in a material zone using a single point model as shown in Figure 4 is particularly important for high‐cycle fatigue testing with up to millions of loading cycles.…”

Fatigue-Induced Concrete Fracture Under Combined Compression And Shear Studied Using Standard Cylinder And Refined Punch-Through Shear Test Setup

“…To analyze and interpret the experimental results of the PTST reported in [5,8], we employ the recently developed material model MS1 [2,10]. This model introduces the cumulative shear fatigue hypothesis at the microplane level.…”

Phase-Field Modeling of Fatigue Crack Propagation in Brittle Materials

“…It should be noted that such limitations of the current formulations of the PF-CZM can be improved by incorporating plasticity with kinematic hardening and considering a different fatigue hypothesis that links the dissipative processes of damage and plasticity, as shown in [33,34,107,108]. That enables the accumulation of the plastic strains under constant amplitude cyclic loading, which is known as the ratcheting mechanism.…”