Development of Domain Integral and Generalized Finite Element Methods for Three Dimensional Analysis of Near-surface Cracking in Flexible Pavements

Development of Domain Integral and Generalized Finite Element Methods for Three Dimensional Analysis of Near-surface Cracking in Flexible Pavements PDF Author: Hasan Ozer
Publisher:
ISBN:
Category :
Languages : en
Pages :

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Book Description
Layered elastic theories and finite element method are among the most familiar and practiced mechanistic approaches. These approaches succeed to a certain extent in the analysis of classical bottom-up fatigue cracking of relatively thin flexible pavements, where tensile stresses and strains govern the behavior at the asphalt layer. However, elastic theories are incapable of predicting other pavement distresses, including near-surface cracking. Similarly, finite element method, which is equipped with fracture and continuum mechanics theories, also poses a significant challenge to the analysis of the near-surface cracking problem, where crack initiation and propagation planes are not easily predictable. Hence, the main objective of this study is to identify the effect of loading tire contact stresses on developing near-surface cracking potential. A numerical approach is chosen to analyze the problem, taking into account considering nonuniform tire-pavement contact stresses and multi-axial stress states in the proximity of tires. This study highlights the impact of novel computational methods, such as the Generalized Finite Element Method (GFEM), on the discovery and understanding of cracking mechanisms in pavements. GFEM allows for realistic modeling of complex phenomena that control fracture initiation and propagation. In this study, GFEM is adapted to analyze relatively thick flexible pavement structures to predict near-surface cracking. The three-dimensional (3-D) and highly multi-axial nature of the problem is successfully captured by this method, which is ideally designed for 3-D fracture problems for complex geometries and mixed loading conditions. This study proposes a high-order domain integral method for the computation of the crack front parameters such as energy release rate and stress intensity factors (SIFs). The method provides an approximation of the energy release rate function as a linear combination of Legendre polynomials. As a result, extracted functions are smoothly varying, which is crucial to obtain accurate crack propagation paths in 3-D for elastic or inelastic materials. Crack front directionality is captured by the proposed formulations and implementation using an energy release rate-based approach. The study also applies for the first time the domain integral techniques to pavement fracture problems utilizing the asphalt concrete viscoelastic characteristics. The GFEM, equipped with the tools developed in this study, is used as a computational platform to analyze near-surface cracking in relatively thick flexible pavement structures. Three-dimensional models of typical pavement structures are developed to analyze near-surface cracking and make predictions for potential critical locations for crack initiation and growth. Two potential scenarios become evident for crack growth in the vicinity of tires: Shear crack under compression and tensile crack. It is observed from the analysis that shear crack growth is the dominant mode of crack development due to loading in the proximity of tires, while tensile crack growth appears to develop within the pavement.

Development of Domain Integral and Generalized Finite Element Methods for Three Dimensional Analysis of Near-surface Cracking in Flexible Pavements

Development of Domain Integral and Generalized Finite Element Methods for Three Dimensional Analysis of Near-surface Cracking in Flexible Pavements PDF Author: Hasan Ozer
Publisher:
ISBN:
Category :
Languages : en
Pages :

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Book Description
Layered elastic theories and finite element method are among the most familiar and practiced mechanistic approaches. These approaches succeed to a certain extent in the analysis of classical bottom-up fatigue cracking of relatively thin flexible pavements, where tensile stresses and strains govern the behavior at the asphalt layer. However, elastic theories are incapable of predicting other pavement distresses, including near-surface cracking. Similarly, finite element method, which is equipped with fracture and continuum mechanics theories, also poses a significant challenge to the analysis of the near-surface cracking problem, where crack initiation and propagation planes are not easily predictable. Hence, the main objective of this study is to identify the effect of loading tire contact stresses on developing near-surface cracking potential. A numerical approach is chosen to analyze the problem, taking into account considering nonuniform tire-pavement contact stresses and multi-axial stress states in the proximity of tires. This study highlights the impact of novel computational methods, such as the Generalized Finite Element Method (GFEM), on the discovery and understanding of cracking mechanisms in pavements. GFEM allows for realistic modeling of complex phenomena that control fracture initiation and propagation. In this study, GFEM is adapted to analyze relatively thick flexible pavement structures to predict near-surface cracking. The three-dimensional (3-D) and highly multi-axial nature of the problem is successfully captured by this method, which is ideally designed for 3-D fracture problems for complex geometries and mixed loading conditions. This study proposes a high-order domain integral method for the computation of the crack front parameters such as energy release rate and stress intensity factors (SIFs). The method provides an approximation of the energy release rate function as a linear combination of Legendre polynomials. As a result, extracted functions are smoothly varying, which is crucial to obtain accurate crack propagation paths in 3-D for elastic or inelastic materials. Crack front directionality is captured by the proposed formulations and implementation using an energy release rate-based approach. The study also applies for the first time the domain integral techniques to pavement fracture problems utilizing the asphalt concrete viscoelastic characteristics. The GFEM, equipped with the tools developed in this study, is used as a computational platform to analyze near-surface cracking in relatively thick flexible pavement structures. Three-dimensional models of typical pavement structures are developed to analyze near-surface cracking and make predictions for potential critical locations for crack initiation and growth. Two potential scenarios become evident for crack growth in the vicinity of tires: Shear crack under compression and tensile crack. It is observed from the analysis that shear crack growth is the dominant mode of crack development due to loading in the proximity of tires, while tensile crack growth appears to develop within the pavement.

An Equivalent Domain Integral Method for Three-Dimensional Mixed-Mode Fracture Problems

An Equivalent Domain Integral Method for Three-Dimensional Mixed-Mode Fracture Problems PDF Author: National Aeronautics and Space Administration (NASA)
Publisher: Createspace Independent Publishing Platform
ISBN: 9781722180737
Category :
Languages : en
Pages : 62

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Book Description
A general formulation of the equivalent domain integral (EDI) method for mixed mode fracture problems in cracked solids is presented. The method is discussed in the context of a 3-D finite element analysis. The J integral consists of two parts: the volume integral of the crack front potential over a torus enclosing the crack front and the crack surface integral due to the crack front potential plus the crack face loading. In mixed mode crack problems the total J integral is split into J sub I, J sub II, and J sub III representing the severity of the crack front in three modes of deformations. The direct and decomposition methods are used to separate the modes. These two methods were applied to several mixed mode fracture problems, were analyzed, and results were found to agree well with those available in the literature. The method lends itself to be used as a post-processing subroutine in a general purpose finite element program. Shivakumar, K. N. and Raju, I. S. Unspecified Center...

Surface Integral and Finite Element Hybrid Method for Three-dimensional Analysis of Arbitrarily-shaped Surface Cracks

Surface Integral and Finite Element Hybrid Method for Three-dimensional Analysis of Arbitrarily-shaped Surface Cracks PDF Author: William D. Keat
Publisher:
ISBN:
Category :
Languages : en
Pages : 0

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Presented at the International Gas Turbine and Aeroengine Congress & Exposition, Houston, Texas - June 5-8, 1995.

Three-Dimensional Finite Element Analysis of Flexible Pavements Considering Nonlinear Pavement Foundation Behavior

Three-Dimensional Finite Element Analysis of Flexible Pavements Considering Nonlinear Pavement Foundation Behavior PDF Author:
Publisher:
ISBN:
Category :
Languages : en
Pages :

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Extended Finite Element Method for Crack Propagation

Extended Finite Element Method for Crack Propagation PDF Author: Sylvie Pommier
Publisher: John Wiley & Sons
ISBN: 1118622693
Category : Technology & Engineering
Languages : en
Pages : 271

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Book Description
Novel techniques for modeling 3D cracks and their evolution in solids are presented. Cracks are modeled in terms of signed distance functions (level sets). Stress, strain and displacement field are determined using the extended finite elements method (X-FEM). Non-linear constitutive behavior for the crack tip region are developed within this framework to account for non-linear effect in crack propagation. Applications for static or dynamics case are provided.

A Generalized Finite Element Method for Three-dimensional Branched Cracks

A Generalized Finite Element Method for Three-dimensional Branched Cracks PDF Author: Luziana Grillo Reno
Publisher:
ISBN:
Category :
Languages : en
Pages : 184

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3D Multi-scale Finite Element Analysis of the Present-day Crustal State of Stress and the Recent Kinematic Behaviour of the Northern and Central Upper Rhine Graben

3D Multi-scale Finite Element Analysis of the Present-day Crustal State of Stress and the Recent Kinematic Behaviour of the Northern and Central Upper Rhine Graben PDF Author: Thies Buchmann
Publisher: Logos Verlag Berlin GmbH
ISBN: 3832520252
Category : Science
Languages : en
Pages : 258

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Book Description
This thesis focuses on the contemporary stress state of a continental rift structure, the Upper Rhine Graben, and its present-day reactivation and kinematic behaviour. The graben is currently characterised by relatively slow tectonic deformation accompanied by low to medium seismicity and ongoing subsidence. In this context, the reactivation potential of pre-existing faults associated with the graben structure is one of the main goals of this thesis. Three dimensional finite element modelling is used for simulating the stress state of the study area. Based on the evaluation of the fault reactivation potential, a possible contribution of mechanical earth modelling to earthquake hazard assessment is also investigated. Another task of this thesis is the development of a method and work process for the construction of complex model geometries based on the different data types available. In order to establish a procedure that is independent of local computing and software facilities, the work-flow used is predominantly based on commercial software packages. A brief introduction is given on crustal stresses, their definition, determination and classification. Two approaches of shear failure reactivation evaluation, independent of the rheological parameter of fault surfaces, are discussed. In addition, a summary of the finite element method is given. This includes the influence of mesh quality and the implementation of contact problems as well as the ABAQUS implementation of the material models used (elasticity and elasto-plasticity). The thesis also refers to the approach of multi-scale modelling, nesting or sub-modelling using ABAQUS. The consequences of this approach on the boundary conditions and the model geometries are discussed.

Three-dimensional Finite Element Analysis of Cyclic Fatigue Crack Growth of Multiple Surface Flaws

Three-dimensional Finite Element Analysis of Cyclic Fatigue Crack Growth of Multiple Surface Flaws PDF Author: Corneliu Manu
Publisher:
ISBN:
Category : Finite element method
Languages : en
Pages : 500

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Development of a Surface Integral Finite Element Hybrid Capability for the Analysis of Fractures in Three Dimensional Bounded Continua

Development of a Surface Integral Finite Element Hybrid Capability for the Analysis of Fractures in Three Dimensional Bounded Continua PDF Author: William D. Keat
Publisher:
ISBN:
Category :
Languages : en
Pages : 72

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Analysis of Surface Cracks at Hole by a 3-D Weight Function Method with Stresses from Finite Element Method

Analysis of Surface Cracks at Hole by a 3-D Weight Function Method with Stresses from Finite Element Method PDF Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 46

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