Transient impact response analysis of an elastic–plastic beam

Zhang, Lin; Yin, Xiaochun; Yang, Jing; Wang, Hui; Deng, Qingming; Yu, Bo; Hao, Qiming; Ding, Huaiping; Qi, Xiaoli; Jin, Tengfei; Dong, Xiaoyun

doi:10.1016/j.apm.2017.11.030

Cited by 20 publications

(5 citation statements)

References 32 publications

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“…Moreover, the duration of the impact force for the beam with larger impact mass but small impact velocity is longer, indicating longer interaction between the drop weight and the beam. This phenomenon coincides with the research of Zhang et al [64], where the impact duration increases with the increase of impact mass and decreases with the increase of impact velocity. Figure 8 displays the development of contact stress on the contact surface for the beams subjected to impact load with the energy level of E3 (10.2 kJ).…”

Section: Effect Of Combination Of Impact Mass and Impact Velocitysupporting

confidence: 92%

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Impact resistance of RC beams under different combinations of mass and velocity: mesoscale numerical analysis

Jin

Lan

Zhang

et al. 2020

Archiv.Civ.Mech.Eng

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The concrete structures under impact loading duress may be destroyed within an extremely short period of time. The importance and complexity of exploration on the impact resistance of concrete members make this area still open for discussion. In the present study, a 3-D mesoscale numerical model was established to investigate the effect of the combination of impact mass and velocity on the mechanical behavior of reinforced concrete (RC) beams subjected to impact loadings. Heterogeneity of concrete and strain rate effects of concrete and steel bars were taken into account. Furthermore, nonlinear interaction between the concrete and steel bars was considered herein. Results from macroscale and mesoscale simulation were compared with the available physical tests, indicating that the mesoscale numerical model can better represent the influence of heterogeneity of concrete on the mechanical behavior of RC beams. Five different impact energy levels were involved to study the effect of the combination of impact mass and velocity on the impact resistance of RC beams. At last, the residual bearing capacity and natural frequency of impacted RC beams were numerically calculated and their relationship was discussed. It is indicated that the deformation of RC beams is influenced strongly by the impulse, which increases with the increasing impact mass at identical impact energy. Besides, the failure mode of RC beams turns from shear-dominant failure mode to bending shear failure mode with the increase of impact mass, accompanied by the increase of energy dissipation of steel bars and the whole member. Despite this, in the present work, the combination of the impact mass and velocity had little influence on the damage extent (based on the performance) of the RC beams. Moreover, an empirical relationship between the residual bearing capacity and the natural frequency of the impacted RC beams was established as a rough reference for damage evaluation in engineering practice.

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Section: Effect Of Combination Of Impact Mass and Impact Velocitysupporting

confidence: 92%

“…12b. The reason is that though the faster loading makes the impact force larger at given impact energy, the duration of interaction between the drop weight and the beam shortens due to both the increasing impact velocity and the decreasing impact mass [64].…”

Section: Response Of Force and Midspan Deflectionmentioning

confidence: 99%

Impact resistance of RC beams under different combinations of mass and velocity: mesoscale numerical analysis

Jin

Lan

Zhang

et al. 2020

Archiv.Civ.Mech.Eng

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“…In [2], it is found that residual stresses in materials affect their resistance to initiation of fracture. In [3] the modification of the numerical-analytical model for the study of beam elastic-plastic characteristics is presented. The model combines Rayleigh beam theory and the Stronge model.…”

Section: Main Bodymentioning

confidence: 99%

Steel Statically Uncertain Transverse Frames Probabilistic Calculation

Chichulina¹,

Chichulin²,

2018

IJET

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The aim of the work is probabilistic calculation and evaluation of steel statically uncertain frames reliability parameters and recommendations development for reducing their material content by controlling the reserves of the load bearing capacity of the.A method for evaluating the reliability parameters of steel statically uncertain frames by all able-bodied statens is developed. Logical probabilistic methods of statically uncertain systems work are used. The probability estimation method of statically uncertain systems failure based on the boundary equilibrium method, taking into account the correlation of individual destruction schemes, is obtained. The method of calculating the significance and contribution of individual frame elements and their influence on the system failure probability as a whole is proposed. The practical method of designing steel statically unidentified frames with the use of steel statically uncertain constructions reliability coefficient γs is offered. The scientific novelty of the work is to develop a scheme for determining frames failure probability by estimating the working capacity. In particular, the fragile and plastic fracturing failures of the frame section are considered. The algorithms for calculating the steel frames failure probability are determined by the probabilistic method of graphical equilibrium. The steel frame separate elements significance indexes are determined. The numerical experiment on the developed programs on a PC is presented for estimation of steel frames failure probability of various sections. the of of steel statically uncertain constructions reliability coefficient γs is proposed for usage.The practical value is more complete consideration of the structures and the probabilistic nature of strength and load, the use of the reliability coefficient. The possibilities of obtaining more economical frames in the design of new ones as well as reconstruction of existing buildings and facilities are identified. Based on the proposed methodology, algorithms and developed programs on the PC for the probabilistic calculation of steel statically uncertain frames for various purposes are compiled.

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“…Thus, many scholars have developed a force-indentation relationship (theoretical contact laws) for the elastoplastic contact problem [11][12][13][14]. Stronge [15] derived the contact force-indentation relation for the loading and unloading phases on the basis of a spherical-shell extension model [2] applied to the rod [16] and beam [17] impacts. Du and Wang [18] presented an elastic-plastic contact law to solve the coefficients of recovery for sphere-plate elastic-plastic impacts [19].…”

Section: Introductionmentioning

confidence: 99%

Linear Contact Load Law of an Elastic–Perfectly Plastic Half-Space vs. Sphere under Low Velocity Impact

Yuan,

Yin,

Wang

et al. 2024

Applied Sciences

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The impact of contact between two elastic–plastic bodies is highly complex, with no established theoretical contact model currently available. This study investigates the problem of an elastic–plastic sphere impacting an elastic–plastic half-space at low speed and low energy using the finite element method (FEM). Existing linear contact loading laws exhibit significant discrepancies as they fail to consider the impact of elasticity and yield strength on the elastic–plastic sphere. To address this limitation, a novel linear contact loading law is proposed in this research, which utilizes the concept of equivalent contact stiffness rather than the conventional linear contact stiffness. The theoretical expressions of this new linear contact loading law are derived through FEM simulations of 150 sphere and half-space impact cases. The segmental linear characteristics of the equivalent contact stiffness are identified and fitted to establish the segmental expressions of the equivalent contact stiffness. The new linear contact loading law is dependent on various factors, including the yield strain of the half-space, the ratio of elastic moduli between the half-space and sphere, and the ratio of yield strengths between the half-space and sphere. The accuracy of the proposed linear contact loading law is validated through extensive Finite Element Method simulations, which involve an elastic–plastic half-space being struck by elastic–plastic spheres with varying impact energies, sizes, and material combinations.

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Transient impact response analysis of an elastic–plastic beam

Cited by 20 publications

References 32 publications

Impact resistance of RC beams under different combinations of mass and velocity: mesoscale numerical analysis

Impact resistance of RC beams under different combinations of mass and velocity: mesoscale numerical analysis

Steel Statically Uncertain Transverse Frames Probabilistic Calculation

Linear Contact Load Law of an Elastic–Perfectly Plastic Half-Space vs. Sphere under Low Velocity Impact

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