Virtual Element Methods in Engineering Sciences by Peter Wriggers, Fadi Aldakheel, Blaz Hudobivnik
- Virtual Element Methods in Engineering Sciences
- Peter Wriggers, Fadi Aldakheel, Blaz Hudobivnik
- Page: 452
- Format: pdf, ePub, mobi, fb2
- ISBN: 9783031392542
- Publisher: Springer International Publishing
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This book provides a comprehensive treatment of the virtual element method (VEM) for engineering applications, focusing on its application in solid mechanics. Starting with a continuum mechanics background, the book establishes the necessary foundation for understanding the subsequent chapters. It then delves into the VEM's Ansatz functions and projection techniques, both for solids and the Poisson equation, which are fundamental to the method. The book explores the virtual element formulation for elasticity problems, offering insights into its advantages and capabilities. Moving beyond elasticity, the VEM is extended to problems in dynamics, enabling the analysis of dynamic systems with accuracy and efficiency. The book also covers the virtual element formulation for finite plasticity, providing a framework for simulating the behavior of materials undergoing plastic deformation. Furthermore, the VEM is applied to thermo-mechanical problems, where it allows for the investigation of coupled thermal and mechanical effects. The book dedicates a significant portion to the virtual elements for fracture processes, presenting techniques to model and analyze fractures in engineering structures. It also addresses contact problems, showcasing the VEM's effectiveness in dealing with contact phenomena. The virtual element method's versatility is further demonstrated through its application in homogenization, offering a means to understand the effective behavior of composite materials and heterogeneous structures. Finally, the book concludes with the virtual elements for beams and plates, exploring their application in these specific structural elements. Throughout the book, the authors emphasize the advantages of the virtual element method over traditional finite element discretization schemes, highlighting its accuracy, flexibility, and computational efficiency in various engineering contexts.
Virtual finite elements for polygonal meshes
The virtual element method is a new procedure that is used to solve boundary value problems with polygonal meshes whose elements are not necessarily convex.
Amazon | Virtual Element Methods in Engineering Sciences
This book provides a comprehensive treatment of the virtual element method (VEM) for engineering applications, focusing on its application in solid
Virtual element methods for general linear elliptic interface
One of the critical features of the proposed virtual element method is to allow the generation of fitted meshes which are independent of the
Virtual Element Methods in Engineering Sciences -
This book provides a comprehensive treatment of the virtual element method (VEM) for engineering applications, focusing on its application in solid
Virtual element methods on meshes with small edges or
Russo, Stability analysis for the virtual element method, Math. Models Methods Appl. Sci.27 (2017) 2557–2594] for the original two-dimensional virtual element
Virtual Element Methods in Engineering Sciences
This book provides a comprehensive treatment of the virtual element method (VEM) for engineering applications, focusing on its application in solid
Some Estimates for Virtual Element Methods in Three
Some estimates on virtual element methods (VEMs), including inverse inequalities, norm equivalence, and interpolation error estimates,
Virtual Elements for Problems in Dynamics | Request PDF
In book: Virtual Element Methods in Engineering Sciences (pp.185-207). Authors: Peter Wriggers · Peter Wriggers. This person is
Virtual Element Formulation for Finite Strain Elastodynamics
It allows meshes with highly irregular shaped elements, including concave shapes. So far the virtual element method has been applied to various engineering
Virtual element method for computational homogenization
The VEM has recently emerged as a powerful generalisation of the Finite Element Method capable of dealing with very general polygonal mesh
Award # 2136075 - Novel Virtual Element Methods
To approximate the governing mathematical equations of these systems, Virtual element method (VEM) is an emerging powerful tool in the scientific computing
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