High accuracy complete elliptic integrals for solving the Hertzian elliptical contact problems

DOI10.1016/j.camwa.2016.11.003zbMath1499.74074OpenAlexW2554866450MaRDI QIDQ2013711

Xiaoqiang Zhou, Kejing He, Qian Lin

Publication date: 9 August 2017

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2016.11.003

zbMATH Keywords

complete elliptic integralshigh accuracyHertzian elliptical contact problemsquadruple-precision floating-point

Mathematics Subject Classification ID

Contact in solid mechanics (74M15) Elliptic functions and integrals (33E05)

Cites Work

• Recursive computation of certain integrals of elliptic type
• Numerical calculation of elliptic integrals and elliptic functions
• Elliptic integrals, the forgotten functions
• MULTHsOPP'S INFLUENCE FUNCTIONS AND THEIR AUTOMATIC COMPUTATION
• On Bartky’s Method for Evaluation of Integrals of Elliptic Type with Application to Round-Nosed Wedges
• Contact Mechanics
• Asymptotic Approximations for Symmetric Elliptic Integrals
• An Eloquent Formula for the Perimeter of an Ellipse
• Inequalities for the perimeter of an ellipse
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