A Reproducing Kernel Particle Hydrodynamic Formulation for Modeling Strong Shock Effects in Nonlinear Solids

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Publisher :
ISBN 13 :
Total Pages : 204 pages
Book Rating : 4.:/5 (874 download)

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Book Synopsis A Reproducing Kernel Particle Hydrodynamic Formulation for Modeling Strong Shock Effects in Nonlinear Solids by : Michael Jason Roth

Download or read book A Reproducing Kernel Particle Hydrodynamic Formulation for Modeling Strong Shock Effects in Nonlinear Solids written by Michael Jason Roth and published by . This book was released on 2014 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many of today's challenging engineering and scientific problems involve the response of nonlinear solid materials to high-rate dynamic loading. Accompanying hydrodynamic effects are crucial, where the shock-driven pressure dominates material response. In this work a hydrodynamic meshfree formulation is developed under the Lagrangian reproducing kernel particle method (RKPM) framework. The volumetric stress divergence is enhanced to capture the high-pressure shock response, and the deviatoric portion is retained to describe strength effects of the solid material. A shock modeling formulation for scalar conservation laws is first constructed. In the scalar formulation the reproducing kernel particle method is formulated to address two key shock modeling issues, that is, accurate representation of the essential shock physics and control of the numerical oscillations due to Gibbs phenomenon at the jump. This is achieved by forming a smoothed flux divergence under the meshfree stabilized conforming nodal integration (SCNI) framework, and then enriching the flux divergence with a Riemann solution. The Riemann-enriched flux divergence is embedded into a velocity corrector adaptively applied at the shock front. As a consequence the shock solution is locally corrected while the smooth solution away from the shock is unaffected. For shocks in solids, developments from the scalar formulation were extended to the Cauchy's equation of motion. Shock effects in solids are pressure dominated, so that the shock solution is enhanced through the volumetric stress divergence. The volumetric stress divergence correction is formulated using a Rankine-Hugoniot enriched Riemann solution that introduces the essential shock physics to the formulation. Oscillation control is introduced through the state and field variable approximations that utilize the Riemann problem initial conditions, and therefore non-physical numerical parameters and length scales required in the traditional artificial viscosity technique are avoided. Further, because the proposed method for oscillation control is linked to the essential physics, the two key issues for accurate shock modeling are addressed in a unified and consistent way. For the nonlinear solids formulation, several benchmark problems are solved and the numerical results are verified by comparison to experimental data or analytical solutions. A range of shock conditions are studied to show the versatility of the proposed method for modeling conditions ranging from weak elastic-plastic shocks to strong shocks generated by hypervelocity impact.

Smoothed Particle Hydrodynamics

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Publisher : World Scientific
ISBN 13 : 9812384561
Total Pages : 473 pages
Book Rating : 4.8/5 (123 download)

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Book Synopsis Smoothed Particle Hydrodynamics by : Gui-Rong Liu

Download or read book Smoothed Particle Hydrodynamics written by Gui-Rong Liu and published by World Scientific. This book was released on 2003 with total page 473 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first-ever book on smoothed particle hydrodynamics (SPH) and its variations, covering the theoretical background, numerical techniques, code implementation issues, and many novel and interesting applications. It contains many appealing and practical examples, including free surface flows, high explosive detonation and explosion, underwater explosion and water mitigation of explosive shocks, high velocity impact and penetration, and multiple scale simulations coupled with the molecular dynamics method. An SPH source code is provided and coupling of SPH and molecular dynamics is discussed for multiscale simulation, making this a friendly book for readers and SPH users.

Advances in Meshfree Techniques

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Publisher : Springer Science & Business Media
ISBN 13 : 1402060955
Total Pages : 315 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Advances in Meshfree Techniques by : V.M.A. Leitao

Download or read book Advances in Meshfree Techniques written by V.M.A. Leitao and published by Springer Science & Business Media. This book was released on 2007-05-26 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book collects extended original contributions presented at the first ECCOMAS Conference on Meshless Methods held in 2005 in Lisbon. The list of contributors is a mix of highly distinguished authors as well as promising young researchers. This means that the reader gets a varied and contemporary view on different mesh reduction methods and its range of applications. The material presented is appropriate for researchers, engineers, physicists, applied mathematicians and graduate students interested in this active research area.

Particle Methods for Multi-Scale and Multi-physics

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Publisher : World Scientific
ISBN 13 : 9814571709
Total Pages : 400 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Particle Methods for Multi-Scale and Multi-physics by : Moubin E. T. Al LIU

Download or read book Particle Methods for Multi-Scale and Multi-physics written by Moubin E. T. Al LIU and published by World Scientific. This book was released on 2015-12-28 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multi-scale and multi-physics modeling is useful and important for all areas in engineering and sciences. Particle Methods for Multi-Scale and Multi-Physics systematically addresses some major particle methods for modeling multi-scale and multi-physical problems in engineering and sciences. It contains different particle methods from atomistic scales to continuum scales, with emphasis on molecular dynamics (MD), dissipative particle dynamics (DPD) and smoothed particle hydrodynamics (SPH). This book covers the theoretical background, numerical techniques and many interesting applications of the particle methods discussed in this text, especially in: micro-fluidics and bio-fluidics (e.g., micro drop dynamics, movement and suspension of macro-molecules, cell deformation and migration); environmental and geophysical flows (e.g., saturated and unsaturated flows in porous media and fractures); and free surface flows with possible interacting solid objects (e.g., wave impact, liquid sloshing, water entry and exit, oil spill and boom movement). The presented methodologies, techniques and example applications will benefit students, researchers and professionals in computational engineering and sciences --

International Aerospace Abstracts

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Publisher :
ISBN 13 :
Total Pages : 980 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis International Aerospace Abstracts by :

Download or read book International Aerospace Abstracts written by and published by . This book was released on 1998 with total page 980 pages. Available in PDF, EPUB and Kindle. Book excerpt:

An Introduction to Meshfree Methods and Their Programming

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Publisher : Springer Science & Business Media
ISBN 13 : 1402034687
Total Pages : 497 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis An Introduction to Meshfree Methods and Their Programming by : G.R. Liu

Download or read book An Introduction to Meshfree Methods and Their Programming written by G.R. Liu and published by Springer Science & Business Media. This book was released on 2005-12-05 with total page 497 pages. Available in PDF, EPUB and Kindle. Book excerpt: The finite difference method (FDM) hasbeen used tosolve differential equation systems for centuries. The FDM works well for problems of simple geometry and was widely used before the invention of the much more efficient, robust finite element method (FEM). FEM is now widely used in handling problems with complex geometry. Currently, we are using and developing even more powerful numerical techniques aiming to obtain more accurate approximate solutions in a more convenient manner for even more complex systems. The meshfree or meshless method is one such phenomenal development in the past decade, and is the subject of this book. There are many MFree methods proposed so far for different applications. Currently, three monographs on MFree methods have been published. Mesh Free Methods, Moving Beyond the Finite Element Method d by GR Liu (2002) provides a systematic discussion on basic theories, fundamentals for MFree methods, especially on MFree weak-form methods. It provides a comprehensive record of well-known MFree methods and the wide coverage of applications of MFree methods to problems of solids mechanics (solids, beams, plates, shells, etc.) as well as fluid mechanics. The Meshless Local Petrov-Galerkin (MLPG) Method d by Atluri and Shen (2002) provides detailed discussions of the meshfree local Petrov-Galerkin (MLPG) method and itsvariations. Formulations and applications of MLPG are well addressed in their book.

Relativistic Hydrodynamics

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Publisher : OUP Oxford
ISBN 13 : 0191509914
Total Pages : 752 pages
Book Rating : 4.1/5 (915 download)

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Book Synopsis Relativistic Hydrodynamics by : Luciano Rezzolla

Download or read book Relativistic Hydrodynamics written by Luciano Rezzolla and published by OUP Oxford. This book was released on 2013-09-26 with total page 752 pages. Available in PDF, EPUB and Kindle. Book excerpt: Relativistic hydrodynamics is a very successful theoretical framework to describe the dynamics of matter from scales as small as those of colliding elementary particles, up to the largest scales in the universe. This book provides an up-to-date, lively, and approachable introduction to the mathematical formalism, numerical techniques, and applications of relativistic hydrodynamics. The topic is typically covered either by very formal or by very phenomenological books, but is instead presented here in a form that will be appreciated both by students and researchers in the field. The topics covered in the book are the results of work carried out over the last 40 years, which can be found in rather technical research articles with dissimilar notations and styles. The book is not just a collection of scattered information, but a well-organized description of relativistic hydrodynamics, from the basic principles of statistical kinetic theory, down to the technical aspects of numerical methods devised for the solution of the equations, and over to the applications in modern physics and astrophysics. Numerous figures, diagrams, and a variety of exercises aid the material in the book. The most obvious applications of this work range from astrophysics (black holes, neutron stars, gamma-ray bursts, and active galaxies) to cosmology (early-universe hydrodynamics and phase transitions) and particle physics (heavy-ion collisions). It is often said that fluids are either seen as solutions of partial differential equations or as "wet". Fluids in this book are definitely wet, but the mathematical beauty of differential equations is not washed out.

The Finite Volume Method in Computational Fluid Dynamics

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Publisher : Springer
ISBN 13 : 3319168746
Total Pages : 799 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis The Finite Volume Method in Computational Fluid Dynamics by : F. Moukalled

Download or read book The Finite Volume Method in Computational Fluid Dynamics written by F. Moukalled and published by Springer. This book was released on 2015-08-13 with total page 799 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook explores both the theoretical foundation of the Finite Volume Method (FVM) and its applications in Computational Fluid Dynamics (CFD). Readers will discover a thorough explanation of the FVM numerics and algorithms used for the simulation of incompressible and compressible fluid flows, along with a detailed examination of the components needed for the development of a collocated unstructured pressure-based CFD solver. Two particular CFD codes are explored. The first is uFVM, a three-dimensional unstructured pressure-based finite volume academic CFD code, implemented within Matlab. The second is OpenFOAM®, an open source framework used in the development of a range of CFD programs for the simulation of industrial scale flow problems. With over 220 figures, numerous examples and more than one hundred exercise on FVM numerics, programming, and applications, this textbook is suitable for use in an introductory course on the FVM, in an advanced course on numerics, and as a reference for CFD programmers and researchers.

Advances in Computational Plasticity

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Publisher : Springer
ISBN 13 : 3319608851
Total Pages : 443 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Advances in Computational Plasticity by : Eugenio Oñate

Download or read book Advances in Computational Plasticity written by Eugenio Oñate and published by Springer. This book was released on 2017-09-09 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book brings together some 20 chapters on state-of-the-art research in the broad field of computational plasticity with applications in civil and mechanical engineering, metal forming processes, geomechanics, nonlinear structural analysis, composites, biomechanics and multi-scale analysis of materials, among others. The chapters are written by world leaders in the different fields of computational plasticity.

Microcontinuum Field Theories

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Publisher : Springer Science & Business Media
ISBN 13 : 1461205557
Total Pages : 336 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Microcontinuum Field Theories by : A. Cemal Eringen

Download or read book Microcontinuum Field Theories written by A. Cemal Eringen and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Microcontinuum field theories extend classical field theories to microscopic spaces and short time scales. This volume is concerned with the kinematics of microcontinua. It begins with a discussion of strain, stress tensors, balance laws, and constitutive equations, and then discusses applications of the fundamental ideas to the theory of elasticity. The ideas developed here are important in modeling the fluid or elastic properties of porous media, polymers, liquid crystals, slurries, and composite materials.

Fluid Mechanics and the SPH Method

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Publisher : Oxford University Press
ISBN 13 : 0199655529
Total Pages : 611 pages
Book Rating : 4.1/5 (996 download)

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Book Synopsis Fluid Mechanics and the SPH Method by : Damien Violeau

Download or read book Fluid Mechanics and the SPH Method written by Damien Violeau and published by Oxford University Press. This book was released on 2012-05-03 with total page 611 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the SPH method for fluid modelling from a theoretical and applied viewpoint. It explains the foundations of the method, from physical principles, and will help researchers, students, and engineers to understand how the method should be used and why it works well.

Smooth Particle Applied Mechanics: The State Of The Art

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Publisher : World Scientific
ISBN 13 : 9814477184
Total Pages : 315 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Smooth Particle Applied Mechanics: The State Of The Art by : William Graham Hoover

Download or read book Smooth Particle Applied Mechanics: The State Of The Art written by William Graham Hoover and published by World Scientific. This book was released on 2006-11-02 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book takes readers through all the steps necessary for solving hard problems in continuum mechanics with smooth particle methods. Pedagogical problems clarify the generation of initial conditions, the treatment of boundary conditions, the integration of the equations of motion, and the analysis of the results. Particular attention is paid to the parallel computing necessary for large problems and to the graphic displays, including debugging software, required for the efficient completion of computational projects.The book is self-contained, with summaries of classical particle mechanics and continuum mechanics for both fluids and solids, computer languages, the stability of numerical methods, Lyapunov spectra, and message-passing parallel computing. The main difficulties faced by meshless particle methods are discussed and the means of overcoming them are illustrated with worked examples.

Encyclopedia of Applied and Computational Mathematics

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Publisher : Springer
ISBN 13 : 9783662528723
Total Pages : 0 pages
Book Rating : 4.5/5 (287 download)

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Book Synopsis Encyclopedia of Applied and Computational Mathematics by : Björn Engquist

Download or read book Encyclopedia of Applied and Computational Mathematics written by Björn Engquist and published by Springer. This book was released on 2016-12-16 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: EACM is a comprehensive reference work covering the vast field of applied and computational mathematics. Applied mathematics itself accounts for at least 60 per cent of mathematics, and the emphasis on computation reflects the current and constantly growing importance of computational methods in all areas of applications. EACM emphasizes the strong links of applied mathematics with major areas of science, such as physics, chemistry, biology, and computer science, as well as specific fields like atmospheric ocean science. In addition, the mathematical input to modern engineering and technology form another core component of EACM.

Moving Particle Semi-implicit Method

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Publisher : Academic Press
ISBN 13 : 0128128372
Total Pages : 307 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Moving Particle Semi-implicit Method by : Seiichi Koshizuka

Download or read book Moving Particle Semi-implicit Method written by Seiichi Koshizuka and published by Academic Press. This book was released on 2018-06-01 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: Moving Particle Semi-implicit Method: A Meshfree Particle Method for Fluid Dynamics begins by familiarizing the reader with basic theory that supports their journey through sections on advanced MPH methods. The unique insights that this method provides include fluid-structure interaction, non-Newtonian flow, and cavitation, making it relevant to a wide range of applications in the mechanical, structural, and nuclear industries, and in bioengineering. Co-authored by the originator of the MPS method, this book is the most authoritative guide available. It will be of great value to students, academics and researchers in industry. - Presents the differences between MPH and SPH, helping readers choose between methods for different purposes - Provides pieces of computer code that readers can use in their own simulations - Includes the full, extended algorithms - Explores the use of MPS in a range of industries and applications, including practical advice

Nonlinear Continuum Mechanics for Finite Element Analysis

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Publisher : Cambridge University Press
ISBN 13 : 9780521572729
Total Pages : 272 pages
Book Rating : 4.5/5 (727 download)

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Book Synopsis Nonlinear Continuum Mechanics for Finite Element Analysis by : Javier Bonet

Download or read book Nonlinear Continuum Mechanics for Finite Element Analysis written by Javier Bonet and published by Cambridge University Press. This book was released on 1997-09-28 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: A unified treatment of nonlinear continuum analysis and finite element techniques.

Flowing Matter

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Publisher : Springer Nature
ISBN 13 : 3030233707
Total Pages : 309 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis Flowing Matter by : Federico Toschi

Download or read book Flowing Matter written by Federico Toschi and published by Springer Nature. This book was released on 2019-09-25 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access book, published in the Soft and Biological Matter series, presents an introduction to selected research topics in the broad field of flowing matter, including the dynamics of fluids with a complex internal structure -from nematic fluids to soft glasses- as well as active matter and turbulent phenomena. Flowing matter is a subject at the crossroads between physics, mathematics, chemistry, engineering, biology and earth sciences, and relies on a multidisciplinary approach to describe the emergence of the macroscopic behaviours in a system from the coordinated dynamics of its microscopic constituents. Depending on the microscopic interactions, an assembly of molecules or of mesoscopic particles can flow like a simple Newtonian fluid, deform elastically like a solid or behave in a complex manner. When the internal constituents are active, as for biological entities, one generally observes complex large-scale collective motions. Phenomenology is further complicated by the invariable tendency of fluids to display chaos at the large scales or when stirred strongly enough. This volume presents several research topics that address these phenomena encompassing the traditional micro-, meso-, and macro-scales descriptions, and contributes to our understanding of the fundamentals of flowing matter. This book is the legacy of the COST Action MP1305 “Flowing Matter”.

Numerical Simulation in Molecular Dynamics

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Publisher : Springer Science & Business Media
ISBN 13 : 3540680950
Total Pages : 472 pages
Book Rating : 4.5/5 (46 download)

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Book Synopsis Numerical Simulation in Molecular Dynamics by : Michael Griebel

Download or read book Numerical Simulation in Molecular Dynamics written by Michael Griebel and published by Springer Science & Business Media. This book was released on 2007-08-16 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book details the necessary numerical methods, the theoretical background and foundations and the techniques involved in creating computer particle models, including linked-cell method, SPME-method, tree codes, amd multipol technique. It illustrates modeling, discretization, algorithms and their parallel implementation with MPI on computer systems with distributed memory. The text offers step-by-step explanations of numerical simulation, providing illustrative code examples. With the description of the algorithms and the presentation of the results of various simulations from fields such as material science, nanotechnology, biochemistry and astrophysics, the reader of this book will learn how to write programs capable of running successful experiments for molecular dynamics.