A theoretical model for the contact of elastoplastic bodies

Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science - Tập 216 Số 4 - Trang 421-431 - 2001
Long-yuan Li1, Chuan‐Yu Wu1, Colin Thornton1
1Aston University School of Engineering and Applied Science Birmingham, UK

Tóm tắt

The paper presents a theoretical model for the normal contact of a rigid sphere with an elastic-perfectly plastic half-space or an elastic-perfectly plastic sphere with a rigid wall. Formulae describing the force-displacement relationship for static contact problems and the coefficient of restitution for dynamic impact problems are derived. The present model can be considered as a modification of Johnson's model by using a more detailed pressure distribution function which is based on finite element analysis (PEA) results and considering the variation in the curvature of the contact surface during the contact interaction. In order to verify the theoretical model, finite element analyses are also conducted, and results are compared with those predicted by the model for both contact force-displacement relations and restitution coefficients. Good agreements between the model predictions and the FEA results are found.

Từ khóa


Tài liệu tham khảo

Hertz H. R., 1896, Miscellaneous Papers

Ishlinsky A. J., 1947, The axial-symmetrical problem in plasticity and the Brinell test

10.1017/CBO9781139171731

10.1115/1.2787319

10.1098/rspa.1999.0488

10.1002/nme.1620030402

10.1016/0020-7683(84)90078-7

10.1016/0020-7683(85)90039-3

10.1098/rspa.1989.0056

10.1115/1.2900991

10.1115/1.2831236

2000, Powder Technol, 109, 1, 10.1016/S0032-5910(00)00218-7

Tabor D., 1951, Hardness of Metals

10.1016/S0032-5910(98)00099-0

Goldsmith W., 1960, Impact,

10.1115/1.3101928

Wu C. Y., 2001, Finite element analysis of panicle impact problems

10.1243/0954406001523551

Whirley R. G., 1992, DYNA2D, A Non-linear, Explicit, Two-Dimensional Finite Element Code for Solid Mechanics User Manual

10.1016/0045-7825(85)90030-1

Thông tin
Thông tin xuất bản

Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science

Tập 216 Số 4

421-431

Thông tin tác giả