Continuum and Computational Mechanics for Geomechanical Engineers

Rock mechanics and rock engineering utilize continuum mechanics and computational mechanics to understand the behavior of rock/rock masses. This book covers the fundamental concepts, preparation for computational mechanics, and approximate solution methods for solving ordinary and partial differential equations. It also includes applications to real-world problems in geomechanics.

Format: Paperback / softback
Length: 326 pages
Publication date: 31 May 2023
Publisher: Taylor & Francis Ltd

The realm of rock mechanics and rock engineering harnesses the fundamental principles of continuum mechanics and the methodologies derived from computational mechanics. Within this comprehensive volume, readers are introduced to the core concepts underlying these fundamental laws, their practical applications regardless of whether rock or rock mass exhibits discontinuities. Comprising nine chapters and six appendices, this book offers a thorough exploration of the subject matter.

The first four chapters delve into the realm of continuum mechanics, encompassing essential operations, the definition of stress and strain tensors, and the derivation of four fundamental conservation laws in a concise yet precise manner. These chapters serve as a solid foundation for the subsequent chapters, which focus on computational mechanics.

In the next two chapters, readers are prepared for the realm of computational mechanics, which involves the utilization of constitutive laws of geomaterials tailored to each conservation law and the methodologies for determining the necessary parameters of these constitutive laws. Computational mechanics then resolves the resulting ordinary and partial differential equations.

Chapter 7 delves into the methods of exact (closed-form) solutions, elucidating how they can be applied to ordinary/partial differential equations with solvable boundary and initial conditions. Chapter 8 extends these principles to one dimension, providing a foundational understanding, and subsequently demonstrates how to extend them to multi-dimensional problems. It is expected that readers will gain a deep comprehension of these methods and their application to diverse geomechanics-related challenges.

The final chapter of the book focuses on the practical applications of the approximate solution methods to real-world geomechanical engineering problems. This chapter encompasses the continuum to discontinuum realm, encompassing the stress state of the earth and the ground motions induced by earthquakes. Six appendices are provided to enhance the readers' understanding of continuum mechanics operations and procedures.

In conclusion, this book serves as a valuable resource for students, researchers, and practitioners in the field of rock mechanics and rock engineering. It provides a comprehensive and in-depth exploration of the fundamental laws and methodologies, equipping readers with the knowledge and skills necessary to address complex geomechanical problems with confidence and efficiency.

Weight: 635g
Dimension: 246 x 174 (mm)
ISBN-13: 9780367680541