Three Dimensional Simulation Of Arbitrary Crack Growth
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Three Dimensional Simulation Of Arbitrary Crack Growth
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Author : Brett Richard Davis
language : en
Publisher:
Release Date : 2014
Three Dimensional Simulation Of Arbitrary Crack Growth written by Brett Richard Davis and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014 with categories.
A finite-element-based simulation technique is developed in Chapter 1 to predict arbitrary shape evolution of 3-D, geometrically explicit cracks under stable growth conditions. Point-by-point extensions along a crack front are predicted using a new, energy-based growth formulation that relies on a first-order expansion of the energy release rate. The key term in this expansion is the variation of energy release rate, made readily available via the virtual crack extension (VCE) method. The variation of energy release rate acts as an influence function relating changes in applied load to geometry changes along the crack front. The crack-growth formulation is incorporated into an incremental-iterative solution procedure that continually updates the crack configuration by re-meshing. The numerical technique allows crack shapes to evolve according to energy-based mechanics, while reducing the effects of computational artifacts, e.g. mesh bias. Chapter 1 offers three simulations of mode I, planar crack growth as proof-of-concept of the new technique. To extend the simulation approach to more general crack growth situations, Chapter 2 presents a new implementation for decomposing 3-D mixed-mode energy release rates using the VCE method. The technique uses a symmetric/anti-symmetric approach to decompose local crack-front displacements that are substituted into the global VCE energy release rate form. The subsequent expansion leads to the mixedmode energy release rate expressions. As a result of the expansion, previously unaddressed modal-interaction coupling terms are found to impact the mixed-mode energy release rates. Five numerical examples are presented as verification of the implementation. This development expands the VCE method's advantages over similar procedures when simulating arbitrary crack growth. The energy-based growth formulation and accompanying simulation technique is generalized in Chapter 3 to predict arbitrary, mixed-mode, non-planar crack evolution. The implementation uses a novel basis-function approach to generate a crack extension expression, rather than relying on the local, point-by-point approach described in Chapter 1. The basis-function expression dampens the effect of numerical noise on crack growth predictions that could otherwise produce unstable simulation results. Two simulations are presented to demonstrate the technique's ability to capture both general non-planar behavior, as well as local mixed-mode phenomena, e.g. "factory-roof" formation, along the crack front.
Generalized Finite Element Methods For Three Dimensional Crack Growth Simulations
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Author : Jeronymo P. Pereira
language : en
Publisher:
Release Date : 2010
Generalized Finite Element Methods For Three Dimensional Crack Growth Simulations written by Jeronymo P. Pereira and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with categories.
Three-dimensional (3-D) crack growth analysis is crucial for the assessment of structures such as aircrafts, rockets, engines and pressure vessels, which are subjected to extreme loading conditions. The analysis of 3-D arbitrary crack growth using the standard Finite Element Method (FEM) encounters several difficulties. The singularities at crack fronts require strongly refined finite element meshes that must fit the discontinuity surfaces while keeping the aspect ratio of the elements within acceptable bounds. Fully automatic generation of meshes in complex 3-D geometries satisfying these requirements is a daunting task. Partition-of-unity methods, such as the Generalized FEM (GFEM), are promising candidates to surmount the shortcomings of the standard FEM in crack growth simulations. These methods allow the representation of discontinuities and singularities in the solution via geometrical descriptions of crack surfaces, that are independent of the volume mesh, coupled with suitable enrichment functions. As a result, volume meshes need not fit crack surfaces. This work proposes an hp-version of the GFEM (hp-GFEM) for crack growth simulations. This method provides enough flexibility to build high-order discretizations for crack growth simulations. At each crack growth step, high-order approximations on locally refined meshes are automatically created in complex 3-D domains while preserving the aspect ratio of elements, regardless of crack geometry. The hp-GFEM uses explicit surface meshes composed of triangles to represent non-planar 3-D crack surfaces. By design, the proposed methodology allows the crack surface to be arbitrarily located within the GFEM mesh. To track the crack surface evolution, the proposed methodology considers an extension of the Face Offsetting Method (FOM). Based on the hp-GFEM solution, the FOM provides geometrically feasible crack front descriptions by updating the vertex positions and checking for self-intersections of the edges. The hp-GFEM with FOM allows the simulation of arbitrary crack growth independent of the volume mesh. Numerical simulations using the hp-GFEM coupled with the FOM are corroborated by experimental data and experimental observations. As an alternative to large-scale crack growth simulations, this work combines the proposed hp-GFEM with the generalized finite element method with global-local enrichment functions (GFEMgl). The proposed method allows crack growth simulations with arbitrary path in industrial level complexity problems while keeping the global mesh unchanged. Furthermore, this method allows crack growth simulations without solving the entire problem from scratch at each crack growth step. The GFEMgl for crack growth explores solutions from previous crack growth steps, hierarchical property of the enrichment functions as well as static condensation of the global-local degrees of freedom to expedite the solution process. Numerical examples demonstrate the robustness, efficiency and accuracy of the proposed GFEMgl for crack growth simulations.
Advanced Three Dimensional Simulations And Cohesive Modeling Of Fatigue Crack Growth
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Author : Ani Ural
language : en
Publisher:
Release Date : 2004
Advanced Three Dimensional Simulations And Cohesive Modeling Of Fatigue Crack Growth written by Ani Ural and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with categories.
Advanced Finite Element Methods With Applications
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Author : Thomas Apel
language : en
Publisher: Springer
Release Date : 2019-06-28
Advanced Finite Element Methods With Applications written by Thomas Apel and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-06-28 with Mathematics categories.
Finite element methods are the most popular methods for solving partial differential equations numerically, and despite having a history of more than 50 years, there is still active research on their analysis, application and extension. This book features overview papers and original research articles from participants of the 30th Chemnitz Finite Element Symposium, which itself has a 40-year history. Covering topics including numerical methods for equations with fractional partial derivatives; isogeometric analysis and other novel discretization methods, like space-time finite elements and boundary elements; analysis of a posteriori error estimates and adaptive methods; enhancement of efficient solvers of the resulting systems of equations, discretization methods for partial differential equations on surfaces; and methods adapted to applications in solid and fluid mechanics, it offers readers insights into the latest results.
Three Dimensional Finite Element Simulation Of Fatigue Crack Growth And Closure
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Author : Stephen G. Cupschalk
language : en
Publisher:
Release Date : 1987
Three Dimensional Finite Element Simulation Of Fatigue Crack Growth And Closure written by Stephen G. Cupschalk and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Stress corresion categories.
Three Dimensional Analysis Of Crack Growth
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Author : Yaoming Mi
language : en
Publisher: Computational Mechanics
Release Date : 1996
Three Dimensional Analysis Of Crack Growth written by Yaoming Mi and has been published by Computational Mechanics this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Technology & Engineering categories.
The engineering applications presented in this text concentrate on the simulation and analysis of general mixed mode crack growth in three dimensions.
Three Dimensional Gear Crack Propagation Studies
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Author :
language : en
Publisher:
Release Date : 1998
Three Dimensional Gear Crack Propagation Studies written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with categories.
Three-dimensional crack growth simulation was performed on a split-tooth gear design using boundary element modeling and linear elastic fracture mechanics. Initial cracks in the fillet of the teeth produced stress intensity factors of greater magnitude (and thus, greater crack growth rates) than those in the root or groove areas of the teeth. Crack growth simulation was performed on a case study to evaluate crack propagation paths. Tooth fracture was predicted from the crack growth simulation for an initial crack in the tooth fillet region. Tooth loads on the uncracked mesh of the split-tooth design were up to five times greater than those on the cracked mesh if equal deflections of the cracked and uncracked teeth were considered. Predicted crack shapes as well as crack propagation life are presented based on calculated stress intensity factors, mixed-mode crack propagation trajectory theories, and fatigue crack growth theories.
Discrete Modeling Of Crack Propagation
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Author : Paul Andrew Wawrzynek
language : en
Publisher:
Release Date : 1991
Discrete Modeling Of Crack Propagation written by Paul Andrew Wawrzynek and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Fracture mechanics categories.
Prediction Of Fatigue Crack Growth Patterns And Lives In Three Dimensional Cracked Bodies
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Author :
language : en
Publisher:
Release Date : 1984
Prediction Of Fatigue Crack Growth Patterns And Lives In Three Dimensional Cracked Bodies written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with categories.
Topological And Geometrical Modeling Approach To Numerical Discretization And Arbitrary Fracture Simulation In Three Dimensions
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Author : Luiz Fernando Campos Ramos Martha
language : en
Publisher:
Release Date : 1989
Topological And Geometrical Modeling Approach To Numerical Discretization And Arbitrary Fracture Simulation In Three Dimensions written by Luiz Fernando Campos Ramos Martha and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Boundary element methods categories.