An analytical elastic plastic contact model with strain hardening and frictional effects for normal and oblique impacts

Brake, Matthew Robert

doi:10.1016/j.ijsolstr.2015.02.018

Cited by 89 publications

(75 citation statements)

References 61 publications

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“…Subsequent models, such as Kogut and Etsion's [33], Zhao 115 et al [34], Thornton and coworkers [35], Wu et al [36] Jackson 116 and Green [27], Shankar and Mayuram [36,37], and Lin and Lin 117 [38] were developed to predict the contact parameters of an 118 elastic-perfectly plastic flattening contact. Several of these mod-119 els have been compared with each other and to experimental 120 results of normal and oblique collision tests in Ghaednia et al [3] 121 and Brake [39,40]. Both Brake's and Ghaednia's studies show 122 very good matches between experiments and quasi-static numeri-123 cal simulations using the aforementioned contact models in terms 124 of the coefficient of restitution; however, recently, Ghaednia and 125 Marghitu [1] showed that in the case of permanent deformations 126 after collision, numerical simulation predictions are an order of 127 magnitude off compared to the experimental results.…”

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confidence: 99%

“…As detailed in Ref. [40], the elastic-plastic regime must be 131 smooth and continuous at all parts, including the transition from a 132 purely elastic stress state to the fully plastic flow. During the fully 133 plastic regime, the average normal pressure was assumed to be 134 constant by Tabor [41].…”

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confidence: 99%

“…One challenge with experimental studies of elastic-plastic behavior is that the transition from elastic to fully developed plastic flow occurs in less than a micrometer of deflection for typical engineering materials and applications [40,45,46]. Thus, the fully plastic contact has been studied extensively compared to the elastic-plastic regime in order to match the theoretical predictions to Brinell [47] hardness tests.…”

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confidence: 99%

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Strain Hardening From Elastic–Perfectly Plastic to Perfectly Elastic Flattening Single Asperity Contact

Ghaednia

Brake

Berryhill

et al. 2018

Journal of Tribology

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For elastic contact, an exact analytical solution for the stresses and strains within two contacting bodies has been known since the 1880s. Despite this, there is no similar solution for elastic–plastic contact due to the integral nature of plastic deformations, and the few models that do exist develop approximate solutions for the elastic–perfectly plastic material model. In this work, the full transition from elastic–perfectly plastic to elastic materials in contact is studied using a bilinear material model in a finite element environment for a frictionless dry flattening contact. Even though the contact is considered flattening, elastic deformations are allowed to happen on the flat. The real contact radius is found to converge to the elastic contact limit at a tangent modulus of elasticity around 20%. For the contact force, the results show a different trend in which there is a continual variation in forces across the entire range of material models studied. A new formulation has been developed based on the finite element results to predict the deformations, real contact area, and contact force. A second approach has been introduced to calculate the contact force based on the approximation of the Hertzian solution for the elastic deformations on the flat. The proposed formulation is verified for five different materials sets.

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confidence: 99%

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confidence: 99%

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confidence: 99%

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Strain Hardening From Elastic–Perfectly Plastic to Perfectly Elastic Flattening Single Asperity Contact

Ghaednia

Brake

Berryhill

et al. 2018

Journal of Tribology

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“…For the collision behaviors between the coal gangue particles and the impact-contact problems between the coal gangue particles and the hydraulic support metal plate, through the theories, simulations and experiments [2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19], and other methods, many scholars have carried out similar studies on the contact behavior between particles [20] and the contact behavior between particles and plates [21][22][23][24][25] in the early stage, which provides the basis for the research of the collision behavior between coal gangue particles or between the coal gangue and the hydraulic support in the top-coal caving. Jackson et al [26] investigated the restitution coefficient of the impacting elastic-perfectly plastic spheres.…”

Section: Introductionmentioning

confidence: 99%

Study on the Vibroimpact Response of the Particle Elastic Impact on the Metal Plate

Yang

Wan

2019

Shock and Vibration

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In order to study the contact and vibration response in the reciprocating impact between coal gangue particles and metal plate, on the basis of the Hertz contact theory, L-N contact model, and the Lagrange equation, this paper established an impact-contact model when the particles free falling to vertically impacts on the metal plate. The variable damping simulation method is proposed, and the accuracy of the variable damping simulation in the medium reciprocating collision is verified by combining the constant damping simulation, the variable damping simulation, and the falling body impact-contact model. The functional relationship between the damping term and the initial impact velocity in Adams simulation is also obtained. Then, through the rigid-flexible coupling method which is combined by Adams and Hypermesh, the three types of variable damping simulations are conducted: the simulation that the free-falling rigid rock sphere impact on the rigid metal plate, the simulation that the elastic rock sphere impact on the rigid metal plate, and the simulation that the elastic rock sphere impact on the elastic metal plate, respectively. Furthermore, contact and vibrate responses of the rock sphere and the metal plate in the three types of the simulation are studied. The results show that the impact-contact response of the rock sphere obtained from the simulation that the elastic rock sphere impact on the elastic metal plate is more accurate. After the flexible treatment of the rock sphere and the metal plate, most of the system energy is consumed during the impact. The conclusions will provide a theoretical calculation method for the medium vertical reciprocating impact and a theoretical basis for the setting of the damping term in Adams simulation and support the research basis for the study of the impact behavior between coal gangue particles and the metal plate.

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“…During the collision process between coal gangue and the tail beam, the contact behavior between particles and the tail beam will lead to the complex interlocking responses such as the compression deformation of the particle and the tail beam metal plate, the compression of the liquid within the tail beam jack under the force, and the rotation of the tail beam. Brake proposed an analytical elastic-plastic contact model in the normal direction between two round surfaces in 2012 [35], and then, he developed a new contact model for the normal and oblique impacts with the consideration of strain hardening and frictional effects [36]. Minamoto and Kawamura [37] studied the direct central impact of two identical spheres in the higher speed range.…”

Section: Introductionmentioning

confidence: 99%

Dynamic Response Analysis of the Coal Gangue‐like Elastic Rock Sphere Impact on the Massless Tail Beam Based on Contact‐Structure Theory and FEM

Yang

Wan

Xin

2019

Shock and Vibration

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The impact and collision behavior between the coal gangue and the hydraulic support widely exists in the top coal caving. However, due to the complex interactions between the large number of coal gangue particles in the mining surface and the limitations of the coal mining technology and other factors, it becomes a difficult problem to study the collision behavior and the contact response between the coal gangue and the hydraulic support or its main components under the actual caving conditions. In order to accurately grasp the contact response law when the coal gangue impacts the tail beam of the hydraulic support, in combination with the equivalent stiffness of the tail beam jack, the Lankarani–Nikravesh (L-N) nonlinear spring-damping contact model, the structural mechanics model of the tail beam, and the energy conservation law, this paper firstly establishes the system contact-structure dynamic model when the particles impact on the tail beam based on the tail beam equivalent kinematics model. Then, to further study the system contact response, the spring damper module is used in the finite element software for the first time to replace the hydraulic cylinder, and four different types of the rigid-flexible coupling simulations when the impact heights, the impact positions, the rock radii, and the rock materials change are conducted, respectively. Through the combination of the theory and the simulation, the contact response law when the particles impacting the massless tail beam under different working conditions is obtained, and the system contact response differences as well as the coal gangue identifying feasibility on the basis of the response differences after the coal gangue impact are analyzed. The conclusions will provide theoretical reference and simulation method for the study of the impact-contact behavior between the coal gangue and the hydraulic support.

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An analytical elastic plastic contact model with strain hardening and frictional effects for normal and oblique impacts

Cited by 89 publications

References 61 publications

Strain Hardening From Elastic–Perfectly Plastic to Perfectly Elastic Flattening Single Asperity Contact

Strain Hardening From Elastic–Perfectly Plastic to Perfectly Elastic Flattening Single Asperity Contact

Study on the Vibroimpact Response of the Particle Elastic Impact on the Metal Plate

Dynamic Response Analysis of the Coal Gangue‐like Elastic Rock Sphere Impact on the Massless Tail Beam Based on Contact‐Structure Theory and FEM

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