zbMATH — the first resource for mathematics

Unified elastoplastic model based on a strain energy equivalence principle. (English) Zbl 07166350
Summary: A unified elastoplastic model was proposed to describe the relation among load, displacement, and uniaxial constitutive parameters of ductile materials according to the von Mises energy equivalence principle at a special location or energy center in the deformed region of a structural component (SC). Two pairs of parameters were considered in the model: one was related to the volume of deformed region and the other to the Mises equivalent strain at the energy center. In addition, they are easily determined by finite element analysis (FEA). For eight kinds of SCs under proportional loading, the load-displacement behaviors of various materials predicted by the unified model were highly consistent with the results of FEA.

74 Mechanics of deformable solids
91 Game theory, economics, finance, and other social and behavioral sciences
Full Text: DOI
[1] Gere, J. M.; Timoshenko, S. P., Mechanics of Materials, 351-355 (1984), Wadsworth[J]. Inc: Wadsworth[J]. Inc Belmont, California
[2] Standard Test Methods for Tension Testing of Metallic (2013), ASTM International: ASTM International West Conshohocken, PA
[3] Kang, S. K.; Kim, Y. C.; Kim, K. H., Extended expanding cavity model for measurement of flow properties using instrumented spherical indentation, Int. J. Plast., 49, 1-15 (2013)
[4] Cao, Y. P.; Qian, X. Q.; Lu, J., An energy-based method to extract plastic properties of metal materials from conical indentation tests, J. Mater. Res., 20, 05, 1194-1206 (2005)
[5] Lan, H.; Venkatesh, T. A.; Moussa, C.; Bartier, O.; Hernot, X., Mechanical characterization of carbonitrided steel with spherical indentation using the average representative strain, Mater. Des., 89, 1191-1198 (2016)
[6] Le, M. Q., Material characterization by dual sharp indenters, Int. J. Solids Struct., 46, 16, 2988-2998 (2009) · Zbl 1167.74517
[7] Chen, H.; Cai, L., Theoretical model for predicting uniaxial stress-strain relation by dual conical indentation based on equivalent energy principle, Acta Mater., 121, 181-189 (2016)
[8] Motz, C.; Schöberl, T.; Pippan, R., Mechanical properties of micro-sized copper bending beams machined by the focused ion beam technique, Acta Mater., 53, 15, 4269-4279 (2005)
[9] Reddy, T. Y.; Reid, S. R., On obtaining material properties from the ring compression test, Nucl. Eng. Des., 52, 2, 257-263 (1979)
[10] Nemat-Alla, M., Reproducing hoop stress-strain behavior for tubular material using lateral compression test, Int. journal Mech. Sci., 45, 4, 605-621 (2003)
[11] Busser, V.; Baietto-Dubourg, M. C.; Desquines, J., Mechanical response of oxidized Zircaloy-4 cladding material submitted to a ring compression test, J. Nucl. Mater., 384, 2, 87-95 (2009)
[12] Joyce, J. A.; Ernst, H.; Paris, P. C., Direct Evaluation of J-Resistance Curves from Load Displacement Records[M]//Fracture Mechanics (1980), ASTM International
[13] Landes, J. D.; Herrera, R., A new look at JR curve analysis, Int. J. Fract., 36, 1, R9-R14 (1988)
[14] Kumar, V.; German, M. D.; Shih, C. F., Engineering Approach for Elastic-Plastic Fracture Analysis. (1981), General Electric Co.: General Electric Co. Schenectady, NY, USA, Corporate Research and Development Dept
[15] Ramberg, W.; Osgood, W. R., Description of Stress-Strain Curves by Three Parameters (1943)
[16] Tada, H.; Paris, P. C.; Irwin, G. R., The Analysis of Cracks Handbook (2000), ASME Press: ASME Press New York, 2: 1
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.