journal article·2012-01

Gradient Elastic Stress Analysis for Anisotropic Bimaterial Interface with Arbitrarily Oriented Crack

Man Ting Kwong, Inna M. Gitman

International Journal of Fracture· Volume 173· Issue 1
Publisher page

Abstract

Singularities occurring at a crack tip are a well known phenomenon; gradient elasticity has been proven to have the ability to remove singularities through additional length scale parameters which at the same time provides extra microstructural information of the material. This study uses gradient elasticity to simulate singularity-free stresses at bi-material bone-implant interfaces and outlines the relationship between the fracture orientation and maximum stresses at crack tip depicted by this model.
Source: expertdata · Quality: candidate unverified · Source record ↗

Research context

OpenAlex topics: Nonlocal and gradient elasticity in micro/nano structures · Composite Material Mechanics · Numerical methods in engineering

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

References (21)

Show source-provided references
1. Aifantis E.C. (1992) On the role of gradients in the localization of deformation and fracture. International Journal of Engineering Science 30: 1279–129910.1016/0020-7225(92)90141-3 ↗
2. Altan S.B., Aifantis E.C. (1992) On the structure of the mode III crack-tip in gradient elasticity. Scripta Metallurgica et Materialia 26: 319–32410.1016/0956-716X(92)90194-J ↗
3. Askes H., Morata I., Aifantis E.C. (2008) Finite element analysis with staggered gradient elasticity. Computers & Structures 86: 1266–127910.1016/j.compstruc.2007.11.002 ↗
4. Askes H., Gitman I.M. (2009) Non-singular stresses in gradient elasticity at bi–material interface with transverse crack. International Journal of Fracture 156: 217–22210.1007/s10704-009-9357-0 ↗
5. Askes H., Aifantis E.C. (2011) Gradient elasticity in statics and dynamics: An overview of formulations, length scale identification procedures, finite element implementations and new results. International Journal of Solids and Structures 48: 1962–199010.1016/j.ijsolstr.2011.03.006 ↗
6. Barut A., Guven I., Madenci E. (2001) Analysis of singular stress fields at junctions of multiple dissimilar materials under mechanical and thermal loading. International Journal of Solids and Structures 38: 9077–910910.1016/S0020-7683(01)00206-2 ↗
7. Carpinteri A., Paggi M. (2007) Analytical study of the singularities arising at multi-material interfaces in 2D linear elastic problems. Engineering Fracture Mechanics 74: 59–7410.1016/j.engfracmech.2006.01.030 ↗
8. Dhert W.J.A., Verheyen C.C.P.M., Braak L.H., De Wijn J.R., Klein C.P.A.T., De Groot K., Rozing P.M. (1992) A finite element analysis of the push-out test: Influence of test conditions. Journal of Biomedical Materials Research 26: 119–13010.1002/jbm.820260111 ↗
9. Fenner D.N. (1976) Stress singularities in composite materials with an arbitrarily oriented crack meeting an interface. International Journal of Fracture 12: 705–72110.1007/BF00037917 ↗
10. Gitman I.M., Askes H., Kuhl E., Aifantis E.C. (2010) Stress concentrations in fractured compact bone simulated with a special class of anisotropic gradient elasticity. International Journal of Solids and Structures 47: 1099–110710.1016/j.ijsolstr.2009.11.020 ↗
11. Gitman I.M., Askes H., Sluys L.J. (2007) Representative volume: existence and size determination. Engineering Fracture Mechanics 74: 2518–253410.1016/j.engfracmech.2006.12.021 ↗
12. Gitman I.M., Askes H., Aifantis E.C. (2005) The Representative Volume size in static and dynamic micro-macro transitions. International Journal of Fracture 135: L3–L910.1007/s10704-005-4389-6 ↗
13. Kunin I.A. (1982). Elastic media with microstructure. I - One-dimensional models., eds. M. Cardona et al., Springer-Verlag, Berlin, Heidelberg, New York10.1007/978-3-642-81748-9 ↗
14. Kunin I.A. (1983). Elastic media with microstructure. II - Three-dimensional models, eds. M. Cardona et al., Springer-Verlag, Berlin, Heidelberg, New York10.1007/978-3-642-81960-5 ↗
15. Mindlin R.D. (1964) Micro-structure in linear elasiticity. Archive for Rational Mechanics and Analysis 16: 51–7810.1007/BF00248490 ↗
16. Ninan T.M., Costa M.L., Krikler S.J. (2007) Classification of femoral periprosthetic fractures Injury. Int. J. Care Injured 38: 661–66810.1016/j.injury.2007.02.053 ↗
17. Rho J.-Y. (1996) An ultrasonic method for measuring the elastic properties of human tibial cortical and cancellous bone. Ultrasonics 34: 777–78310.1016/S0041-624X(96)00078-9 ↗
18. Rho J.-Y., Kuhn-Spearing L., Zioupos P. (1998) Mechanical properties and the hierarchical structure of bone. Medical Engineering & Physics 20: 92–10210.1016/S1350-4533(98)00007-1 ↗
19. Ru C., Aifantis E. (1993) A simple approach to solve boundary-value problems in gradient elasticity. Acta Mechanica 101: 59–6810.1007/BF01175597 ↗
20. Vashishth D. (2007) Hierarchy of bone microdamage at multiple length scales. International Journal of Fatigue 29: 1024–103310.1016/j.ijfatigue.2006.09.010 ↗
21. Zervos A. (2008) Finite elements for elasticity with microstructure and gradient elasticity. International Journal for Numerical Methods in Engineering 73: 564–59510.1002/nme.2093 ↗