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Virtual Element Methods in Engineering Sciences. Peter Wriggers, Fadi Aldakheel, Blaz Hudobivnik

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ISBN: 9783031392542 | 452 pages | 12 Mb

• Virtual Element Methods in Engineering Sciences
• Peter Wriggers, Fadi Aldakheel, Blaz Hudobivnik
• Page: 452
• Format: pdf, ePub, fb2, mobi
• 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.

An engineering perspective to the virtual element method
Michael Mengolini, M. Benedetto, A. M. Aragón; Published 1 June · Published 1 June 2019; Computer Science · Computer Science · Computer Methods in Applied 
An engineering perspective to the virtual element method
In order to deal with arbitrarily shaped polygonal elements, VEM uses general finite element spaces that may contain non-polynomial functions.
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 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 
The mixed virtual element method on curved edges in two
In this work, we propose an extension of the mixed Virtual Element Method (VEM) for bi-dimensional computational grids with curvilinear edge elements.
An engineering perspective to the virtual element method
The Virtual Element Method (VEM) is a numerical technique designed for polytopal discretizations (polygons in 2-D or polyhedra in 3-D). Its mathematical 
The Virtual Element Method for the Dam Foundation With
The test space and trial space in the virtual element method (VEM) do not need to be accurately calculated, avoiding mesh dependence. In this 
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 in Engineering Sciences
This book provides a comprehensive treatment of the virtual element method (VEM) for engineering applications, focusing on its application 
Virtual element method for a frictional contact problem with
As a generalization of the finite element method, the virtual element method (VEM) can handle general polygonal meshes with hanging nodes, which are very 
A virtual element formulation for general element shapes
The virtual element method is a lively field of research, in which engineering. The method allows ansatz function of arbitrary polynomial 
The Virtual Element Method with curved edges
In this paper we initiate the investigation of Virtual Elements with curved faces. We consider the case of a fixed curved boundary in two dimensions, as it 

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