Three-dimensional numerical analysis of reflective cracks in airfield pavements

Generalized Finite Element Method (GFEM);viscoelasicity;crack propagation;reflective cracking;energy release rate

Garzon Torres, Jorge

关键词: Generalized Finite Element Method (GFEM);    viscoelasicity;    crack propagation;    reflective cracking;    energy release rate;   

Others  :  https://www.ideals.illinois.edu/bitstream/handle/2142/44467/Jorge_Garzon%20Torres.pdf?sequence=1&isAllowed=y

美国|英语

来源: The Illinois Digital Environment for Access to Learning and Scholarship

【 摘 要 】

Hot mix asphalt (HMA) is used as the primary overlying material of concrete pavements duringrehabilitation because of its inexpensive nature when compared to most Portland cement concrete(PCC) rehabilitation/reconstruction alternatives. In airfield pavements for example, a commontechnique is to place a HMA concrete overlay on top of an existing deteriorated PCC, since the initial cost is low and the placement process is fast. This restores smoothness, structure and water-proofing benefits to existing pavement. However, due to the majority of the PCC pavements beingin average to poor condition, many HMA overlays are exposed to extreme movements (both vertical and horizontal). The combination of associated load and environmentally induced movements creates complex stresses and strains in the vicinity of expansion joints and cracks in the PCC, thus dramatically reducing the life of the HMA overlay, typically in the form of reflective cracking.Reflective cracking is a fatigue cracking distress, which is initiated at the bottom of the HMAoverlay and propagates through its thickness and the surface. It can reduce the life expectancy ofthe overlay because it leads to roughness, raveling, and moisture infiltration.The analysis of reflective cracking involves all modes of fracturing i.e., Mode I (opening),Mode II (shearing), and Mode III (tearing) [61] and thus 3-D models are required. The need fortrue 3-D modeling of reflective cracking complicates the development of computational modelsusing standard finite element methods. Furthermore, the nature of the linear viscoelastic material(asphalt) makes the crack analysis time dependent. The Generalized or eXtended Finite ElementMethod (G/XFEM) [10, 12, 41, 108, 109, 119, 163] adds flexibility to the FEM while retaining itsattractive features. In this study, the computation of the time-dependent energy release rate G (t)along 3-D crack fronts is done by applying the elastic-viscoelastic correspondence principle to the associated GFEM elastic solution. The inversion from the Laplace domain to the physical domainis done numerically using the Fourier series method.In this proposed linear viscoelastic GFEM, adaptive surface triangulations are utilized to ex-plicitly represent complex 3-D crack surfaces. Computational geometry algorithms are used totrack the evolution of the crack front and the crack surface representation based on GFEM solutions. This methodology allows us to investigate the behavior of complex 3-D reflective cracksurfaces accounting for the viscoelastic behavior of the material while keeping the computational cost and implementation complexity comparable to the case of linear elastic materials. Numericalexperiments of long crack growth (crack surface significantly increases from its initial size) and coalescence of multiple crack surfaces demonstrate that the method is robust and is able to perform complex 3-D crack growth simulations. As such, it provides support for the development ofmechanistic based design procedures for airfield overlays that are tolerant to reflective cracking.