We are thrilled to share that Prof. Aldakheel #book
🚀 Virtual Element Methods in Engineering Sciences 🚀
🔥 Soon available #ONLINE! 🔥
The #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, we 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.
You can find more info here: https://www.amazon.com/Virtual-Element-Methods-Engineering-Sciences/dp/303139254X
