The effects of heterogeneous mechanical properties on the response of a ductile material

被引:4
作者
Song, Yichi [1 ]
Schiffer, Andreas [2 ]
Tagarielli, Vito L. [1 ]
机构
[1] Imperial Coll London, Dept Aeronaut Engn, Imperial Coll Rd, London SW7 2AZ, England
[2] Khalifa Univ Sci & Technol, Dept Mech Engn, Abu Dhabi 127788, U Arab Emirates
关键词
REPRESENTATIVE VOLUME ELEMENT; SIZE; MICROMECHANICS; RANDOMNESS;
D O I
10.1038/s41598-021-97495-x
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
We investigate numerically the small-strain, elastic-plastic response of statistically isotropic materials with non-uniform spatial distributions of mechanical properties. The numerical predictions are compared to simple bounds derived analytically. We explore systematically the effects of heterogeneity on the macroscopic stiffness, strength, asymmetry, stability and size dependence. Monte Carlo analyses of the response of statistical volume elements are conducted at different strain triaxiality using computational homogenisation, and allow exploring the macroscopic yield behaviour of the heterogeneous material. We illustrate quantitatively how the pressure-sensitivity of the yield surface of the solid increases with heterogeneity in the elastic response. We use the simple analytical models developed here to derive an approximate scaling law linking the fatigue endurance threshold of metallic alloys to their stiffness, yield strength and tensile strength.
引用
收藏
页数:17
相关论文
共 22 条
  • [1] [Anonymous], 2020, GRANTA EDUPACK SOFTW
  • [2] Practical Application of the Stochastic Finite Element Method
    Arregui-Mena, Jose David
    Margetts, Lee
    Mummery, Paul M.
    [J]. ARCHIVES OF COMPUTATIONAL METHODS IN ENGINEERING, 2016, 23 (01) : 171 - 190
  • [3] Checks and estimates for material properties I. Ranges and simple correlations
    Ashby, MF
    [J]. PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1998, 454 (1973): : 1301 - 1321
  • [4] Static and fatigue characterization of the Ti5553 titanium alloy
    Bettaieb, M. B.
    Lenain, A.
    Habraken, A. M.
    [J]. FATIGUE & FRACTURE OF ENGINEERING MATERIALS & STRUCTURES, 2013, 36 (05) : 401 - 415
  • [5] The need for linking micromechanics of materials with stochastic finite elements:: A challenge for materials science
    Charmpis, D. C.
    Schueeller, G. I.
    Pellissetti, M. F.
    [J]. COMPUTATIONAL MATERIALS SCIENCE, 2007, 41 (01) : 27 - 37
  • [6] A micromechanics-based nonlocal constitutive equation and estimates of representative volume element size for elastic composites
    Drugan, WJ
    Willis, JR
    [J]. JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 1996, 44 (04) : 497 - 524
  • [7] Numerical evaluation of the representative volume element for random composites
    El Moumen, A.
    Kanit, T.
    Imad, A.
    [J]. EUROPEAN JOURNAL OF MECHANICS A-SOLIDS, 2021, 86
  • [8] Evesque P., 2005, Poudres Grains, V11, P6
  • [9] Representative volume: Existence and size determination
    Gitman, I. M.
    Askes, H.
    Sluys, L. J.
    [J]. ENGINEERING FRACTURE MECHANICS, 2007, 74 (16) : 2518 - 2534
  • [10] ANALYSIS OF COMPOSITE-MATERIALS - A SURVEY
    HASHIN, Z
    [J]. JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 1983, 50 (03): : 481 - 505