A unified model for obtaining stress-strain relationship under spherical indenter loading and test application

• Published in: Applied mathematics and mechanics Vol. 46; no. 8; pp. 1591 - 1608
• Main Authors: Wang, Haomin, Cai, Lixun, Xiao, Huairong
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.08.2025; Springer Nature B.V
• Edition: English ed.
• Subjects: Applications of Mathematics; Classical Mechanics; Constitutive relationships; Equivalence principle; Fluid- and Aerodynamics; Goodness of fit; Hardness tests; Indenters; Mathematical Modeling and Industrial Mathematics; Mathematics; Mathematics and Statistics; Partial Differential Equations; Stress-strain curves; Stress-strain relationships; Tensile strength; Tensile tests; test method; steel material; O346; TG115.5; spherical indentation; Hollomon law; 74-05; energy density equivalence

A dimensionless load-displacement model based on the energy-density equivalence principle is proposed to obtain the stress-strain relationships of metallic materials under monotonic indentations with various diameters of spherical indenters. Finite element simulations are carried out to verify the c...