Search results for: peridynamic-theory-and-its-applications

Peridynamic Theory and Its Applications

Author : Erdogan Madenci
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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.

Handbook of Peridynamic Modeling

Author : Florin Bobaru
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This handbook covers the peridynamic modeling of failure and damage. Peridynamics is a reformulation of continuum mechanics based on integration of interactions rather than spatial differentiation of displacements. The book extends the classical theory of continuum mechanics to allow unguided modeling of crack propagation/fracture in brittle, quasi-brittle, and ductile materials; autonomous transition from continuous damage/fragmentation to fracture; modeling of long-range forces within a continuous body; and multiscale coupling in a consistent mathematical framework.

Numerical Modelling of Failure in Advanced Composite Materials

Author : Pedro P. Camanho
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Numerical Modelling of Failure in Advanced Composite Materials comprehensively examines the most recent analysis techniques for advanced composite materials. Advanced composite materials are becoming increasingly important for lightweight design in aerospace, wind energy, and mechanical and civil engineering. Essential for exploiting their potential is the ability to reliably predict their mechanical behaviour, particularly the onset and propagation of failure. Part One investigates numerical modeling approaches to interlaminar failure in advanced composite materials. Part Two considers numerical modelling approaches to intralaminar failure. Part Three presents new and emerging advanced numerical algorithms for modeling and simulation of failure. Part Four closes by examining the various engineering and scientific applications of numerical modeling for analysis of failure in advanced composite materials, such as prediction of impact damage, failure in textile composites, and fracture behavior in through-thickness reinforced laminates. Examines the most recent analysis models for advanced composite materials in a coherent and comprehensive manner Investigates numerical modelling approaches to interlaminar failure and intralaminar failure in advanced composite materials Reviews advanced numerical algorithms for modeling and simulation of failure Examines various engineering and scientific applications of numerical modelling for analysis of failure in advanced composite materials

Computational Methods for Fracture

Author : Timon Rabczuk
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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.

Examples of Applications of the Peridynamic Theory to the Solution of Static Equilibrium Problems

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Abstract: Peridynamics is a recently proposed continuum theory based on a non local approach and formulated with integral equations. The theory is suitable for dealing with crack propagation in solid materials. The original peridynamic formulation regarded dynamic problems and was adapted to the static case mainly using a relaxation method by introducing a substantial amount of numerical damping in the time integration. In the present work the implementation of the theory within an implicit code for static crack propagation phenomena based on the Newton-Raphson method is presented and applied to several examples of static crack propagation equilibrium problems. Results obtained with the newly developed procedure are presented for various structural configurations, with different boundary and load conditions and quantitatively compared to published data.

Peridynamic Differential Operator for Numerical Analysis

Author : Erdogan Madenci
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This book introduces the peridynamic (PD) differential operator, which enables the nonlocal form of local differentiation. PD is a bridge between differentiation and integration. It provides the computational solution of complex field equations and evaluation of derivatives of smooth or scattered data in the presence of discontinuities. PD also serves as a natural filter to smooth noisy data and to recover missing data. This book starts with an overview of the PD concept, the derivation of the PD differential operator, its numerical implementation for the spatial and temporal derivatives, and the description of sources of error. The applications concern interpolation, regression, and smoothing of data, solutions to nonlinear ordinary differential equations, single- and multi-field partial differential equations and integro-differential equations. It describes the derivation of the weak form of PD Poisson’s and Navier’s equations for direct imposition of essential and natural boundary conditions. It also presents an alternative approach for the PD differential operator based on the least squares minimization. Peridynamic Differential Operator for Numerical Analysis is suitable for both advanced-level student and researchers, demonstrating how to construct solutions to all of the applications. Provided as supplementary material, solution algorithms for a set of selected applications are available for more details in the numerical implementation.

A Peridynamic Theory for Linear Elastic Shells

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Abstract: A state-based peridynamic formulation for linear elastic shells is presented. The emphasis is on introducing, possibly for the first time, a general surface based peridynamic model to represent the deformation characteristics of structures that have one geometric dimension much smaller than the other two. A new notion of curved bonds is exploited to cater for force transfer between the peridynamic particles describing the shell. Starting with the three dimensional force and deformation states, appropriate surface based force, moment and several deformation states are arrived at. Upon application on the curved bonds, such states yield the necessary force and deformation vectors governing the motion of the shell. By incorporating a shear correction factor, the formulation also accommodates analysis of shells that have higher thickness. In order to attain this, a consistent second order approximation to the complementary energy density is considered and incorporated in peridynamics via constitutive correspondence. Unlike the uncoupled constitution for thin shells, a consequence of a first order approximation, constitutive relations for thick shells are fully coupled in that surface wryness influences the in-plane stress resultants and surface strain the moments. Our proposal on the peridynamic shell theory is numerically assessed against simulations on static deformation of spherical and cylindrical shells, that of flat plates and quasi-static fracture propagation in a cylindrical shell.

Problems Involving Thermal hydraulics Liquid Sloshing and Extreme Loads on Structures

Author : Frederick J. Moody
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Introduction to Practical Peridynamics

Author : Walter Herbert Gerstle
File Size : 70.1 MB
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Parting with the classical continuum concepts of stress and strain in the computational simulation of solids, this book proposes a peridynamic model that applies the model directly to particle lattices. The model is directly solvable on a computer. Introduction to Practical Peridynamics is both a graduate-level textbook and a treatise. The text provides the necessary foundations to understand and apply the state-based peridynamic lattice model, as well as a guide for the practical use of the model — for solving realistic structural engineering problems (particularly in reinforced concrete structures) in elasticity, plasticity, damage, fracture, and large deformations. Contents in this book include introductory chapters presenting the historical background of the subject; classical elasticity; computational solid modeling; continuum mechanics; fracture mechanics; particle dynamics simulations on parallel computers; as well as example simulations (with model applications). Request Inspection Copy

Mechanical and Aerospace Engineering V

Author : Dashnor Hoxha
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Collection of selected, peer reviewed papers from the 2014 5th International Conference on Mechanical and Aerospace Engineering (ICMAE 2014), July 18-19, 2014, Madrid, Spain. The 146 papers are grouped as follows: Chapter 1. Applied Mechanics and Manufacturing, Chapter 2. Dynamics, Vibration and Acoustics Analysis, Chapter 3. Material Characterisation and Technology, Chapter 4. Aerodynamics, Aeroengineering and Aerospatial Applications, Chapter 5. Fluid Dynamics and CFD Application, Chapter 6. Motors and Engines, Combustion and Propulsion, Chapter 7. Control Systems, Robotics and Automatics, Chapter 8. Thermal Analysis Technologies and Applications, Chapter 9. Computational Techniques and Numerical Methods

Size Dependent Continuum Mechanics Approaches

Author : Esmaeal Ghavanloo
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This book offers a comprehensive and timely report of size-dependent continuum mechanics approaches. Written by scientists with worldwide reputation and established expertise, it covers the most recent findings, advanced theoretical developments and computational techniques, as well as a range of applications, in the field of nonlocal continuum mechanics. Chapters are concerned with lattice-based nonlocal models, Eringen’s nonlocal models, gradient theories of elasticity, strain- and stress-driven nonlocal models, and peridynamic theory, among other topics. This book provides researchers and practitioners with extensive and specialized information on cutting-edge theories and methods, innovative solutions to current problems and a timely insight into the behavior of some advanced materials and structures. It also offers a useful reference guide to senior undergraduate and graduate students in mechanical engineering, materials science, and applied physics.

Advanced Materials for Defense

Author : Raul Fangueiro
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This book covers selected reviewed research papers submitted to AUXDEFENSE 2018 conference, held in Lisbon, Portugal on 3-4 September 2018. These papers discuss the latest research and development in the defense sector, addressing mainly three topics: new materials for enhancing mechanical, chemical and biological protection along with improved comfort of the soldiers, different testing methods to characterize their performance and lastly, modelling and simulation techniques to help product design and prediction of properties. This book will be of great interest for the researchers and scientists working in this area as well as for the industries involved in developing products for the defense sector.

Numerical Simulation of Thermo elasticity Inelasticity and Rupture in Membrane Theory

Author : Michael James Taylor
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Program and Abstracts for the U S National Congress of Theoretical and Applied Mechanics

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Materials Transportation and Environmental Engineering II

Author : Jimmy Chih Ming Kao
File Size : 34.96 MB
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Collection of selected, peer reviewed papers from the 2014 the 2nd International Conference on Materials, Transportation and Environmental Engineering (CMTEE 2014), July 30-31, 2014, Kunming, China. The 587 papers are grouped as follows: Chapter 1: Materials and Chemical Engineering and Technologies, Chapter 2: Environmental Materials, Biomaterials and Technologies, Chapter 3: Energy and Thermal Engineering, Environmental Engineering, Chapter 4: Civil and Building Engineering, Structural and Geotechnical Engineering, Applied Mechanics, Chapter 5: Research and Design of Industrial Facilities and Technologies, Chapter 6: Recent Technologies in Mechatronics, Control and Automation, Chapter 7: Communication and Information Technologies, Algorithms and Numerical Methods of Data Processing, Chapter 8: Traffic, Road and Transportation Engineering, Chapter 9: Biomedical Engineering, Chapter 10: Urban Planning, Sustainable City and Green Building Applications, Chapter 11: Management Engineering, Business and Economics Engineering, Chapter 12: New Technologies in Education and Sports

Advances in Applied Mechanics

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The Advances in Applied Mechanics book series draws together recent significant advances in various topics in applied mechanics. Published since 1948, Advances in Applied Mechanics aims to provide authoritative review articles on topics in the mechanical sciences, primarily of interest to scientists and engineers working in the various branches of mechanics. This content is also relevant to the many who use the results of investigations in mechanics in various application areas, such as aerospace, chemical, civil, environmental, mechanical and nuclear engineering. Covers all fields of the mechanical sciences Highlights classical and modern areas of mechanics that are prime for review Provides comprehensive coverage of applied mechanics for scientists and engineers as well as those in various application areas

Dissertation Abstracts International

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Mathematical Reviews

Author :
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The Continuum Theory of Material Separation CTMS

Author : Lara Daily Leininger
File Size : 27.73 MB
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Advances in Civil Engineering and Transportation IV

Author : Xiang Dong Zhang
File Size : 49.35 MB
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Collection of selected, peer reviewed papers from the 4th International Conference on Civil Engineering and Transportation (ICCET 2014), December 24-25, 2014, Xiamen, China. The 462 papers are grouped as follows: Chapter 1: Structural Engineering; Chapter 2: Geotechnical Engineering and Geological Engineering; Chapter 3: Bridge Engineering; Chapter 4: Earthquake Engineering; Chapter 5: Tunnel, Subway and Underground Facilities; Chapter 6: Hydraulic and Hydrodynamics Engineering, Water Supply and Drainage Engineering; Chapter 7: Coastal Engineering; Chapter 8: Roads and Railway Engineering; Chapter 9: Building Materials and Technology; Chapter 10: Building Technology and Science; Chapter 11: Computational Mechanics and Mathematical Modeling; Chapter 12: Surveying Engineering, Cartography and Geographic Information Systems; Chapter 13: Disaster Prevention and Mitigation Engineering; Chapter 14: Transportation and Traffic Planning, Operation Organization and Management; Chapter 15: Modern Logistics Systems and Supply Chain; Chapter 16: Intelligent Transportation Theory and Application; Chapter 17: Transportation Control, Analysis, Monitoring, Applied Information Technology; Chapter 18: Public Transport Planning and Management; Chapter 19: Transportation and Economic Development, and Low Carbon Transportation; Chapter 20: Architectural Design and Theory; Chapter 21: Urban Planning and Design, Landscape Design, Sustainable City and Regional Development; Chapter 22: Ecological Architecture and Energy Consumption, Energy Saving, Heating, Ventilation and Air Conditioning Works; Chapter 23: Environmental Engineering, Ecological and Environmental Protection