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
Book database download 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 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.
A multiscale virtual element method for the analysis of
To this end, the multiscale finite element method is revisited and originally upgraded by introducing virtual element discretizations at 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
The Virtual Element Method and its Applications (SEMA
The book is intended for graduate students and researchers in mathematics and engineering fields, interested in learning novel numerical techniques for the
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.
Numerical recipes for elastodynamic virtual element
All Science Journal Classification (ASJC) codes · Numerical Analysis · Engineering(all) · Applied Mathematics
Numerical recipes for elastodynamic virtual element
We present a general framework to solve elastodynamic problems by means of the virtual element method (VEM) with explicit time integration.
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