Elastic–Plastic Response of Clamped Square Plates Subjected to Repeated Quasi-Static Uniform Pressure

Abstract

In this paper, an elastic–plastic analytical method is proposed to predict the cyclic deformation of the fully clamped square plates made of elastic–perfectly plastic material under repeated quasi-static uniform pressure. The whole process can be divided into the loading and unloading phases. The loading phase is formulated as three separate regimes: the elastic regime, the mixed elastic–plastic regime and the fully plastic regime. Unloading from a status in each phase is modeled as an elastic process. The total and elastic strain energies are characterized by the loading and unloading paths together with the displacement profiles, respectively. It is theoretically revealed that the elastic strain energy and the structural stiffness of the plate increase with the increasing transverse deflection. In addition, the effect of material elasticity is highlighted in the scenario of repeated loadings. The theoretical results are validated against the numerical simulations conducted by the commercial software ABAQUS. It is shown that the proposed elastic–plastic theoretical model has reasonable accuracy and can be employed to predict pressure–deflection relationship for this class of problems.

Experimental Research on the Repeated Impacts Behavior of Aluminum Corrugated-Core Sandwich Structures

“…ey observed the pseudo-shakedown phenomenon during the tests, which was confirmed by Wei [4] and Huang et al [6]. Shi [10,11] proposed an ideal elastic-plastic analytical method for predicting the deformation and the structural stiffness of rectangular plates and beams made of metal material under repeatedly uniform pressure loadings. Duan [12] and Zeng [13] investigated the mechanical behavior of aluminum alloy plates and mild steel plates with precast cracks under repeated drop weight impacts.…”

Failure modeling and reliability analysis for motion mechanism with clearance joints under plastic deformation and wear

“…Professor ZHU carried out extensive research and review on the plastic dynamic response of structures under repeated impact loads in three aspects: experimental, numerical and theoretical methods [29]. The analytical formula of rigid plasticity under repeated impact is presented [20] and used in the study of typical structures such as fixed square plate, stiffened plate and aluminum foam sandwich plate [9] [30].…”

Dynamic Response Mechanism of Thin-Walled Plate under Confined and Unconfined Blast Loads

“…It was found in these studies that the whole process can be categorized into three distinct phases, consisting the following: (a) phase I, the expansion of explosion from the time of detonation to its interaction with the structure; (b) phase II, interaction of the detonation products and the plate; and (c) phase III, reflection of the shock wave off the plate and the oscillation of the plate beginning in response [14,15]. In addition, to further explain the dynamic mechanical behaviors and effectively predict response modes, some theoretical analyses were also developed [16] and analytical solutions [17] were obtained in good agreement with numerical and experimental observations. These constructive methodologies were also extended to analyzing underwater shock wave loading [18].…”