Static And Dynamic Crack Propagation In Brittle Materials With Xfem

Author : Fleming Petri, Wagner Carlos
Publisher : kassel university press GmbH
ISBN 13 : 3862194361
Total Pages : 233 pages
Book Rating : 4.60/5 ( download)

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Download or read book Static and Dynamic Crack Propagation in Brittle Materials with XFEM written by Fleming Petri, Wagner Carlos and published by kassel university press GmbH. This book was released on 2013-01-01 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : George C. Sih
Publisher : Springer Science & Business Media
ISBN 13 : 9401092532
Total Pages : 707 pages
Book Rating : 4.31/5 ( download)

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Download or read book Proceedings of an international conference on Dynamic Crack Propagation written by George C. Sih and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 707 pages. Available in PDF, EPUB and Kindle. Book excerpt: The planning meeting for a conference on Dynamic Crack Propagation was held at M.LT. in February 1971 and attended by research workers from several industrial, governmental and academic organizations. It was felt that a more specialized meeting would provide a better opportunity for both U.S. and foreign researchers to exchange their ideas and views on dynamic fracture, a subject which is seldom emphasized in national or international fracture conferences. Dynamic crack propagation has been a concern to specialists in many fields: continuum mechanics, metallurgy, geology, polymer chemistry, orthopedics, applied mathematics, as well as structural design and testing. It impinges on a wide variety of problems such as rock breaking and earthquakes, pressure vessels and line pipes, comminution and the per formance of armament and ordnance, etc. Advances have been numerous, covering theories and experiments from both the microscopic and macro scopic points of view. Hence, the need for comparing the theoretical and experimental results and bridging the gaps between the atomistic and continuum approaches must be constantly emphasized. It also appeared that the overall problem of dynamic fracture could benefit from a con solidation of crack models proposed for the various types of materials: metals, ceramics, composites, rocks, glasses, polymers and biomaterials.

Author : Arun Shukla
Publisher : World Scientific
ISBN 13 : 9812773320
Total Pages : 374 pages
Book Rating : 4.26/5 ( download)

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Download or read book Dynamic Fracture Mechanics written by Arun Shukla and published by World Scientific. This book was released on 2006 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Jean Lemaitre
Publisher : Cambridge University Press
ISBN 13 : 9780521477581
Total Pages : 588 pages
Book Rating : 4.81/5 ( download)

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Download or read book Mechanics of Solid Materials written by Jean Lemaitre and published by Cambridge University Press. This book was released on 1994-08-25 with total page 588 pages. Available in PDF, EPUB and Kindle. Book excerpt: Translation of hugely successful book aimed at advanced undergraduates, graduate students and researchers.

Author : K. Ravi-Chandar
Publisher : Elsevier
ISBN 13 : 9780080472553
Total Pages : 264 pages
Book Rating : 4.59/5 ( download)

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Download or read book Dynamic Fracture written by K. Ravi-Chandar and published by Elsevier. This book was released on 2004-10-16 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dynamic fracture in solids has attracted much attention for over a century from engineers as well as physicists due both to its technological interest and to inherent scientific curiosity. Rapidly applied loads are encountered in a number of technical applications. In some cases such loads might be applied deliberately, as for example in problems of blasting, mining, and comminution or fragmentation; in other cases, such dynamic loads might arise from accidental conditions. Regardless of the origin of the rapid loading, it is necessary to understand the mechanisms and mechanics of fracture under dynamic loading conditions in order to design suitable procedures for assessing the susceptibility to fracture. Quite apart from its repercussions in the area of structural integrity, fundamental scientific curiosity has continued to play a large role in engendering interest in dynamic fracture problems In-depth coverage of the mechanics, experimental methods, practical applications Summary of material response of different materials Discussion of unresolved issues in dynamic fracture

Author : J.R. Klepaczko
Publisher : Springer
ISBN 13 : 3709128242
Total Pages : 499 pages
Book Rating : 4.44/5 ( download)

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Download or read book Crack Dynamics in Metallic Materials written by J.R. Klepaczko and published by Springer. This book was released on 2014-05-04 with total page 499 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an up-to-date knowledge on theory and experimental results of rate-dependent fracture processes in metallic materials. The objective is to expose the current status of a growing branch of fracture mechanics called generally "Dynamic Fracture". Crack dynamics takes into account not only the effects of inertia but also rate sensitivity of a material under consideration. This volume has been prepared by four leading authorities in fracture dynamics: D.R. Curran, J.F. Kalthoff, J.R. Klepaczko and F. Nilsson. A broad range of problem is covered: dynamic fracture theory, application of dynamic fracture mechanics, dynamic crack inition and microstatistical fracture mechanics in dynamic fracture. The book in its present format may serve as a text supplement in lecturing on fracture mechanics. On the other hand, it may serve as an instructional aid in engineering of fracture prevention.

Author : Schröder, Bettina Anna Barbara
Publisher : kassel university press GmbH
ISBN 13 : 3737607737
Total Pages : 259 pages
Book Rating : 4.35/5 ( download)

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Download or read book Consistent Higher Order Accurate Time Discretization Methods for Inelastic Material Models written by Schröder, Bettina Anna Barbara and published by kassel university press GmbH. This book was released on 2020-01-20 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Gleim, Tobias
Publisher : kassel university press GmbH
ISBN 13 : 3737602506
Total Pages : 339 pages
Book Rating : 4.01/5 ( download)

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Download or read book Simulation of Manufacturing Sequences of Functionally Graded Structures written by Gleim, Tobias and published by kassel university press GmbH. This book was released on 2017-02-10 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Shankar Krishnapillai
Publisher : Springer Nature
ISBN 13 : 9811641382
Total Pages : 530 pages
Book Rating : 4.81/5 ( download)

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Download or read book Composite Materials for Extreme Loading written by Shankar Krishnapillai and published by Springer Nature. This book was released on 2021-11-06 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Erdogan Madenci
Publisher : Springer Science & Business Media
ISBN 13 : 1461484650
Total Pages : 297 pages
Book Rating : 4.53/5 ( download)

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Download or read book Peridynamic Theory and Its Applications written by Erdogan Madenci and published by Springer Science & Business Media. This book was released on 2013-10-21 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the peridynamic theory, which provides the capability for improved modeling of progressive failure in materials and structures, and paves the way for addressing multi-physics and multi-scale problems. The book provides students and researchers with a theoretical and practical knowledge of the peridynamic theory and the skills required to analyze engineering problems. The text may be used in courses such as Multi-physics and Multi-scale Analysis, Nonlocal Computational Mechanics, and Computational Damage Prediction. Sample algorithms for the solution of benchmark problems are available so that the reader can modify these algorithms, and develop their own solution algorithms for specific problems. Students and researchers will find this book an essential and invaluable reference on the topic.