Shell-based Peridynamics for the Modelling of Isotropic and Composite Structures PDF Download

Author: Ruqing Bai
Publisher: Cambridge Scholars Publishing
ISBN: 1036404854
Category : Science
Languages : en
Pages : 210

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Book Description
Unveiling improvements in the nonlocal theory of the Peridynamics, this book brings recent developments and new extensions to the standard Peridynamic method, making it capable of solving shell-like structures, while keeping its character of a strong formulation based on the interactions between pairs of material points, called “Peridynamic bonds”. The proposed formulation is a natural extension of the standard continuum Peridynamics, allowing thin structures to be modelled using only one layer of particles at the mid-surface of the structure, contrary to the standard continuum Peridynamics. The book navigates the mechanics formulation of the Peridynamic Timoshenko beam and Reissner-Mindlin plate and presents breakthrough strategies for shear-locking in thin structures. Enhanced methods are introduced for analysing fibre-reinforced composites, offering precision in predicting damage patterns in composite structures when subjected to low and moderate velocity impacts.

Author: Jack R. Vinson
Publisher: Springer Science & Business Media
ISBN: 940158141X
Category : Science
Languages : en
Pages : 569

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Book Description
Shell structures are used in all phases of structures, from space vehicles to deep submergence hulls, from nuclear reactors to domes on sport arenas and civic buildings. With new materials and manufacturing methods, curved thin walled structures are being used increasingly. This text is a graduate course in the theory of shells. It covers shells of isotropic materials, such as metal alloys and plastics, and shells of composite materials, such as fibre reinforced polymer, metal or ceramic matrix materials. It provides the essential information for an understanding of the underlying theory, and solution of some of the basic problems. It also provides a basis to study the voluminous shell literature. Beyond being primarily a textbook, it is intended also for self study by practising engineers who would like to learn more about the behaviour of shells. The book has two parts: Part I deals with shells of isotropic materials. In this part the mathematical formulations are introduced involving curvilinear coordinates. The techniques of solutions and resulting behavior is compared to planar thin walled isotropic structures such as plates and beams. Part II then treats the behavior of shells, involving anisotropic composite materials, so widely used today. The analysis involves the complications due to the many elastic constants, effects of transverse shear deformation, thermal thickening and offer effects arising from the properties of composite materials.

Author: Jun Lin
Publisher:
ISBN:
Category :
Languages : en
Pages : 0

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Book Description
The objective of this thesis is the development and the extension of the SPH method for the analysis of isotropic and multilayered composite shell structures, undergoing dynamic loading. Major defects of the classical SPH method such as the lack of consistency, the tensile instability are solved by "Corrective Smoothed Particle Method", the use of the Total Lagrangian Formulation and artificial viscosity. Mindlin-Reissner Theory is employed for the modeling of thick shells, by using only one layer of particles in the mid-plane. The strong form of the governing equations for shell structures are discretized directly by the modified SPH method and solved using the central difference time integration scheme. An extension of the method has been introduced for the modeling of low-velocity impact of shells by rigid impactors. The contact force is calculated based on the Hertzian contact law. A last extension of the SPH method concerns the integration of Tsai-Wu failure criterion for the modeling of progressive degradation of multilayered structures.

Author: Erdogan Madenci
Publisher: Springer
ISBN: 3030026477
Category : Science
Languages : en
Pages : 287

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Book Description
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.

Author: Florin Bobaru
Publisher: CRC Press
ISBN: 1315355949
Category : Mathematics
Languages : en
Pages : 646

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Book Description
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.

Author: Erdogan Madenci
Publisher: Springer Science & Business Media
ISBN: 1461484650
Category : Science
Languages : en
Pages : 297

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Book Description
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.

Author: Liviu Librescu
Publisher: Springer Science & Business Media
ISBN: 1402042035
Category : Technology & Engineering
Languages : en
Pages : 627

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Book Description
Annotation This is the first monograph devoted to the foundation of the theory of composite anisotropic thin-walled beams and to its applications in various problems involving the aeronautical/aerospace, helicopter, naval and mechanical structures. Throughout the theoretical part, an effort was made to provide the treatment of the subject by using the equations of the 3-D elasticity theory. Non-classical effects such as transverse shear, warping constraint, anisotropy of constituent materials yielding the coupling of twist-bending (lateral), bending (transversal)-extension have been included and their implications have been thoroughly analyzed. Thermal effects have been included and in order to be able to circumvent their deleterious effects, functionally graded materials have been considered in their construction. Implications of the application of the tailoring technique and of the active feedback control on free vibration, dynamic response, instability and aeroelasticity of such structures have been amply investigated. Special care was exercised throughout this work to address and validate the adopted solution methodologies and the obtained results against those available in the literature and obtained via numerical or experimental means.

Author: P Camanho
Publisher: Elsevier
ISBN: 0857094920
Category : Technology & Engineering
Languages : en
Pages : 537

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Book Description
The growing use of composites over metals for structural applications has made a thorough understanding of the behaviour of composite joints in various applications essential for engineers, but has also presented them with a new set of problems. Composite joints and connections addresses these differences and explores the design, modelling and testing of bonded and bolted joints and connections.Part one discusses bolted joints whilst part two examines bonded joints. Chapters review reinforcement techniques and applications for composite bolted and bonded joints and investigate the causes and effects of fatigue and stress on both types of joint in various applications and environments. Topics in part one include metal hybridization, glass-reinforced aluminium (GLARE), hybrid fibre metal laminates (FML), glass fibre reinforced polymer (GFRP) and carbon fibre reinforced polymer (CFRP) composites. Topics in part two include calculation of strain energy release rates, simulating fracture and fatigue failure using cohesive zone models, marine and aerospace applications, advanced modelling, stress analysis of bonded patches and scarf repairs.Composite joints and connections is a valuable reference for composite manufacturers and composite component fabricators, the aerospace, automotive, shipbuilding and civil engineering industries and for anyone involved in the joining and repair of composite structures. - Explores the design, modelling and testing of bonded and bolted joints and connections - Reviews reinforcement techniques and applications for composite bolted and bonded joints - Investigates the causes and effects of fatigue and stress on bolted and bonded joints in various applications and environments

Author: Martin H. Sadd
Publisher: Elsevier
ISBN: 008047747X
Category : Technology & Engineering
Languages : en
Pages : 474

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Book Description
Although there are several books in print dealing with elasticity, many focus on specialized topics such as mathematical foundations, anisotropic materials, two-dimensional problems, thermoelasticity, non-linear theory, etc. As such they are not appropriate candidates for a general textbook. This book provides a concise and organized presentation and development of general theory of elasticity. This text is an excellent book teaching guide. - Contains exercises for student engagement as well as the integration and use of MATLAB Software - Provides development of common solution methodologies and a systematic review of analytical solutions useful in applications of

Author: Ellad B. Tadmor
Publisher: Cambridge University Press
ISBN: 1107008263
Category : Science
Languages : en
Pages : 373

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Book Description
Treats subjects directly related to nonlinear materials modeling for graduate students and researchers in physics, materials science, chemistry and engineering.