Static And Dynamic Crack Propagation In Brittle Materials With Xfem

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Static And Dynamic Crack Propagation In Brittle Materials With Xfem

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Author : Fleming Petri, Wagner Carlos
language : en
Publisher: kassel university press GmbH
Release Date : 2013-01-01

Static And Dynamic Crack Propagation In Brittle Materials With Xfem written by Fleming Petri, Wagner Carlos and has been published by kassel university press GmbH this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-01-01 with Mathematical models categories.

The aim of this thesis is the simulation of progressive damage in brittle materials due to cracking. With this aim, the mathematical crack model will be solved using the eXtended Finite Element Method for the spatial discretization and time integration schemes for the numerical integration in the time domain. The time integration schemes considered are the Generalized-? method, the continuous GALERKIN method and the discontinuous GALERKIN method.

The Scaled Boundary Finite Element Method

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Author : Chongmin Song
language : en
Publisher: John Wiley & Sons
Release Date : 2018-09-04

The Scaled Boundary Finite Element Method written by Chongmin Song and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-09-04 with Science categories.

An informative look at the theory, computer implementation, and application of the scaled boundary finite element method This reliable resource, complete with MATLAB, is an easy-to-understand introduction to the fundamental principles of the scaled boundary finite element method. It establishes the theory of the scaled boundary finite element method systematically as a general numerical procedure, providing the reader with a sound knowledge to expand the applications of this method to a broader scope. The book also presents the applications of the scaled boundary finite element to illustrate its salient features and potentials. The Scaled Boundary Finite Element Method: Introduction to Theory and Implementation covers the static and dynamic stress analysis of solids in two and three dimensions. The relevant concepts, theory and modelling issues of the scaled boundary finite element method are discussed and the unique features of the method are highlighted. The applications in computational fracture mechanics are detailed with numerical examples. A unified mesh generation procedure based on quadtree/octree algorithm is described. It also presents examples of fully automatic stress analysis of geometric models in NURBS, STL and digital images. Written in lucid and easy to understand language by the co-inventor of the scaled boundary element method Provides MATLAB as an integral part of the book with the code cross-referenced in the text and the use of the code illustrated by examples Presents new developments in the scaled boundary finite element method with illustrative examples so that readers can appreciate the significant features and potentials of this novel method—especially in emerging technologies such as 3D printing, virtual reality, and digital image-based analysis The Scaled Boundary Finite Element Method: Introduction to Theory and Implementation is an ideal book for researchers, software developers, numerical analysts, and postgraduate students in many fields of engineering and science.

Consistent Higher Order Accurate Time Discretization Methods For Inelastic Material Models

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Author : Schröder, Bettina Anna Barbara
language : en
Publisher: kassel university press GmbH
Release Date : 2020-01-20

Consistent Higher Order Accurate Time Discretization Methods For Inelastic Material Models written by Schröder, Bettina Anna Barbara and has been published by kassel university press GmbH this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-01-20 with Technology & Engineering categories.

The present thesis investigates the usage of higher order accurate time integrators together with appropriate error estimators for small and finite dynamic (visco)plasticity. Therefore, a general (visco)plastic problem is defined which serves as a basis to create closed-form solution strategies. A classical access towards small and finite (visco)plasticity is integrated into this concept. This approach is based on the idea, that the balance of linear momentum is formulated in a weak sense and the material laws are included indirectly. Thus, separate time discretizations are implemented and an appropriate coupling between them is necessary. Limitations for the usage of time integrators are the consequence. In contrast, an alternative multifield formulation is derived, adapting the principle of Jourdain. The idea is to assume that the balance of energy - taking into account a pseudopotential representing dissipative effects – resembles a rate-type functional, whose stationarity condition leads to the equations describing small or finite dynamic (visco)plasticity. Accordingly, the material laws and the balance of linear momentum can be solved on the same level and only one single time discretization has to be performed. A greater freedom in the choice of time integrators is obtained and the application of higher order accurate schemes - such as Newmark’s method, fully implicit as well as diagonally implicit Runge-Kutta schemes, and continuous as well as discontinuous Galerkin methods - is facilitated. An analysis and a comparison of the classical and the multifield formulation is accomplished by means of distinct examples. In this context, a dynamic benchmark problem is developed, which allows to focus on the effect of different time integrators. For this investigation, a variety of time discretization error estimators are formulated, evaluated, and compared.

Simulation Of Manufacturing Sequences Of Functionally Graded Structures

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Author : Gleim, Tobias
language : en
Publisher: kassel university press GmbH
Release Date : 2017-02-10

Simulation Of Manufacturing Sequences Of Functionally Graded Structures written by Gleim, Tobias and has been published by kassel university press GmbH this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-02-10 with categories.

The current paper establishes an axisymmetric model for an inductive heating process. Therein, the fully coupled MAXWELL equations, assuming a temperature dependent permeability, are combined with the non-linear heat conduction equation to yield a monolithic solution strategy. The latter is based on a consistent linearization together with a higher order finite element discretization using GALERKIN'S method in space. For the temporal discretization, the generalized Newmark-? methods, higher order RUNGE-KUTTA methods, and discontinuous and continuous GALERKIN methods are used. Furthermore, the residual error is introduced to open an alternative way to obtain a numerically efficient estimation of the time integration accuracy. Simulation results of the electric, magnetic and thermal fields are provided, together with parameter studies concerning spatial discretization, frequency dependence and penetration depth of the heating zone. Another topic analyzed is the residual error and its estimation quality regarding polynomial degree and time step size. A further aspect of this work is the investigation of the thermal fluid-structure interaction with respect to functionally graded materials. Different coupling strategies for the acceleration of the fixed-point iteration in each time step is in the foreground. Relaxation methods as well as extrapolation methods make it possible to significantly reduce the number of fixed point iterations. At the same time, an adaptive strategy with higher order RUNGE-KUTTA methods can provide a further advantage in combination with acceleration methods.

Composite Materials For Extreme Loading

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Author : Shankar Krishnapillai
language : en
Publisher: Springer Nature
Release Date : 2021-11-06

Composite Materials For Extreme Loading written by Shankar Krishnapillai and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-11-06 with Technology & Engineering categories.

This book presents the select proceedings of the Indo-Korean workshop on Multi Functional Materials for Extreme Loading, 2021. The book mainly focuses on the very important emerging area of response to extreme loading of composites as well as other materials involving characterization studies, failure mechanisms conditions under quasi static to high strain rates, impact loads, blast loads, crash analysis, and other thermal and fatigue loads. The book also includes other important areas related to special materials and techniques such as 3D printing, nano-composites, multifunctional materials, and high temperature materials. The contents of this book are useful for beginners, industrial designers, academic researchers, and graduate students.

Dynamic Fracture Mechanics

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Author : Arun Shukla
language : en
Publisher: World Scientific
Release Date : 2006

Dynamic Fracture Mechanics written by Arun Shukla and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Technology & Engineering categories.

Covering a wide variety of topics in dynamic fracture mechanics, this volume presents state-of-the-art experimental techniques and theoretical analysis on dynamic fracture in standard and exotic materials. Written by world renowned researchers, this valuable compendium contains eleven chapters on crack initiation, crack propagation, crack arrest, crack-stress wave interactions, and experimental, analytical and numerical methods in dynamic fracture mechanics. Contents: Modeling Dynamic Fracture Using Large-Scale Atomistic Simulations (H-J Gao & M J Buehler); Dynamic Crack Initiation Toughness (D Rittel); The Dynamics of Rapidly Moving Tensile Cracks in Brittle Amorphous Material (J Fineberg); Optical Methods for Dynamic Fracture Mechanics (H V Tippur); On the Use of Strain Gages in Dynamic Fracture (V Parameswaran & A Shukla); Dynamic and Crack Arrest Fracture Toughness (R E Link & R Chona); Dynamic Fracture in Graded Materials (A Shukla & N Jain); Dynamic Fracture Initiation Toughness at Elevated Temperatures with Application to the New Generation of Titanium Aluminides Alloys (M Shazly et al.); Dynamic Fracture of Nanocomposite Materials (A Shukla et al.). Readership: Researchers, practitioners, and graduate students in fracture mechanics and materials science.

Quasibrittle Fracture Mechanics And Size Effect

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Author : Z. P. Bažant
language : en
Publisher: Oxford University Press
Release Date : 2021-11-19

Quasibrittle Fracture Mechanics And Size Effect written by Z. P. Bažant and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-11-19 with Science categories.

Designed for graduate and upper-level undergraduate university courses, this book provides a comprehensive treatment of quasibrittle fracture mechanics, including its practical applications across a range of materials and engineering structures, and features exercises and problems to test understanding.

Extended Finite Element Method

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Author : Amir R. Khoei
language : en
Publisher: John Wiley & Sons
Release Date : 2015-02-23

Extended Finite Element Method written by Amir R. Khoei and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-02-23 with Science categories.

Introduces the theory and applications of the extended finite element method (XFEM) in the linear and nonlinear problems of continua, structures and geomechanics Explores the concept of partition of unity, various enrichment functions, and fundamentals of XFEM formulation. Covers numerous applications of XFEM including fracture mechanics, large deformation, plasticity, multiphase flow, hydraulic fracturing and contact problems Accompanied by a website hosting source code and examples

Computational Methods For Fracture

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Author : Timon Rabczuk
language : en
Publisher: MDPI
Release Date : 2019-10-28

Computational Methods For Fracture written by Timon Rabczuk and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-10-28 with Technology & Engineering categories.

This book offers a collection of 17 scientific papers about the computational modeling of fracture. Some of the manuscripts propose new computational methods and/or how to improve existing cutting edge methods for fracture. These contributions can be classified into two categories: 1. Methods which treat the crack as strong discontinuity such as peridynamics, scaled boundary elements or specific versions of the smoothed finite element methods applied to fracture and 2. Continuous approaches to fracture based on, for instance, phase field models or continuum damage mechanics. On the other hand, the book also offers a wide range of applications where state-of-the-art techniques are employed to solve challenging engineering problems such as fractures in rock, glass, concrete. Also, larger systems such as fracture in subway stations due to fire, arch dams, or concrete decks are studied.

Numerical Methods For Strong Nonlinearities In Mechanics

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Author : Jacques Besson
language : en
Publisher: John Wiley & Sons
Release Date : 2025-01-09

Numerical Methods For Strong Nonlinearities In Mechanics written by Jacques Besson and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-01-09 with Mathematics categories.

Numerical Methods for Strong Nonlinearities in Mechanics deals with recent advances in the numerical treatment of contact/friction and damage phenomena. Although physically distinct, these phenomena both lead to a strong nonlinearity in the mechanical problem, therefore limiting the regularity of the problem, which is now non-differentiable. This has two direct consequences: on the one hand, the mathematical characteristics of the problem deviate from wellestablished forms, requiring innovative discretization schemes; on the other hand, the low regularity makes it particularly difficult to solve the corresponding large-scale algebraic systems robustly and efficiently. In addition, neither the uniqueness, nor the existence of solutions, remain assured, resulting in bifurcation points, limit loads and structural instabilities, which are always tricky to overcome numerically.