Gradient Elasticity Length Scale Validation Using Static Fracture Experiments of Pmma and PVC
Source abstract
Abstract
The use of gradient elasticity has been advocated in the past decades because of its ability to predict singularity-free stresses and strains around the tips of sharp cracks. However, identification and validation of the intrinsic length scales that appear in gradient elasticity is in a less advanced state, which hampers a more widespread use of gradient elasticity. In this short note, we provide validation of the gradient elasticity length scales for two polymers, namely PMMA and PVC, using static fracture experiments from the literature. The obtained length scales are in the order of magnitude of several tens of microns.
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Research context
OpenAlex topics: Structural Behavior of Reinforced Concrete · Numerical methods in engineering · Nonlocal and gradient elasticity in micro/nano structures
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References (15)
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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 Materalia 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 and Structures 86: 1266–127910.1016/j.compstruc.2007.11.002 ↗
4. 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 ↗
5. Bouchbinder E., Procaccia I. (2005) Nonuniversality in microbranching instabilities in rapid fracture. Physical Review E 72: 05510310.1103/PhysRevE.72.055103 ↗
6. 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 ↗
7. Jakata K., Every A.G. (2008) Determination of the dispersive elastic constants of the cubic crystals Ge, Si, GaAs, and InSb. Physical Review B 77: 17430110.1103/PhysRevB.77.174301 ↗
8. Kouznetsova V.G., Geers M.G.D., Brekelmans W.A.M. (2004) Size of a Representative Volume Element in a second-order computational homogenization framework. International Journal of Multiscale Computational Engineering 2: 575–59810.1615/IntJMultCompEng.v2.i4.50 ↗
9. Livieri P. (2008) Use of J-integral to predict static failures in sharp V-notches and rounded U-notches. Engineering Fracture Mechanics 75: 1779–179310.1016/j.engfracmech.2007.01.022 ↗
10. Maranganti R., Sharma P. (2007) A novel atomistic approach to determine strain-gradient elasticity constants: Tabulation and comparison for various metals, semiconductors, silica, polymers and the (ir)relevance for nanotechnologies. Journal of the Mechanics and Physics of Solids 55: 1823–185210.1016/j.jmps.2007.02.011 ↗
11. Maugin G.A. and Metrikine A.V. (Editors). Mechanics of Generalized Continua—One hundred Years after the Cosserats. Advances in Mechanics and Mathematics 21. Springer (2010).10.1007/978-1-4419-5695-8 ↗
12. Papargyri-Beskou S., Polyzos D., Beskos D.E. (2009) Wave dispersion in gradient elastic solids and structures: A unified treatment. International Journal of Solids and Structures 46: 3751–375910.1016/j.ijsolstr.2009.05.002 ↗
13. Ru C.Q., Aifantis E.C. (1993) A simple approach to solve boundary-value problems in gradient elasticity. Acta Mechanica 101: 59–6810.1007/BF01175597 ↗
14. Sharon E., Fineberg J (1996) Microbranching instability and the dynamic fracture of brittle materials. Physical Review B 54: 7128–713910.1103/PhysRevB.54.7128 ↗
15. Tenek L.T., Aifantis E.C. (2002) A two-dimensional finite element implementation of a special form of gradient elasticity. Computer Modeling in Engineering & Sciences 3: 731–741