Contact model for elastoplastic analysis of half-space indentation by a spherical impactor

Abstract

This paper presents a new contact model for analysis of post-yield indentation of a halfspace target by a spherical indenter. Unlike other existing models, the elastoplastic regime of the present model was modelled using two distinct force-indentation relationships based on experimentally and theoretically established indentation characteristics of the elastoplastic regime. The constants in the model were derived from continuity conditions and indention theory. Simulations of the present model show good prediction of experimental data. Also, an approach for determining the maximum contact force and indentation of an elastoplastic half-space from the impact conditions has been proposed.

Preliminary Investigations of the Low-Velocity Impact Response of a Smart Trimorph Plate for Active Damage Mitigation

“…The main advantages of the elastoplastic model are its simplicity and computational tractability when used for impact analysis [12]. Details of the formulation of the elastoplastic model can be found in [12,13]. This elastoplastic contact model has been used in the present impact analysis with a slight modification in the expression for the unloading stage as explained below.…”

“…Whereas the Hertz stiffness is related to the effective radius, the unloading stiffness is related to a deformed effective radius due to plastic deformation effects [13]. In references [12,13] was determined as: ≅ when the maximum penetration is in the elastoplastic loading regime or the initial phase of the fully plastic loading regime; and ≅ + /2 when the maximum penetration is well into the fully plastic loading regime e.g.…”

“…In references [12,13] was determined as: ≅ when the maximum penetration is in the elastoplastic loading regime or the initial phase of the fully plastic loading regime; and ≅ + /2 when the maximum penetration is well into the fully plastic loading regime e.g. / ≥ 2.…”

“…In such cases, the use of Hertz contact model or linearised elastoplastic contact models to estimate the impact force introduces significant errors in the predicted impact response [6,9]. Recently, Big-Alabo et al [12,13] developed an elastoplastic contact model in which all of the loading and unloading stages are modelled using Meyer-type compliance models. The main advantages of the elastoplastic model are its simplicity and computational tractability when used for impact analysis [12].…”

Nonlinear Characteristic of Spherical Joints with Clearance

“…Because the elastic contact calculation by implementing finite element software depends on the user's choice in some parameters such as normal contact stiffness and penetration limit, Hattori and Serpa (2015) predicted the values of some parameters by investigating the artificial neural networks. Big-Alabo et al (2015) conducted elastoplastic analysis for a spherical impactor. Finite element method can be used to analyze various contact conditions.…”