Reprint

Mathematical Problems in Rock Mechanics and Rock Engineering

Edited by
January 2023
262 pages
  • ISBN978-3-0365-6091-5 (Hardback)
  • ISBN978-3-0365-6092-2 (PDF)

This is a Reprint of the Special Issue Mathematical Problems in Rock Mechanics and Rock Engineering that was published in

Computer Science & Mathematics
Engineering
Physical Sciences
Public Health & Healthcare
Summary

With increasing requirements for energy, resources and space, rock engineering projects are being constructed more often and are operated in large-scale environments with complex geology. Meanwhile, rock failures and rock instabilities occur more frequently, and severely threaten the safety and stability of rock engineering projects. It is well-recognized that rock has multi-scale structures and involves multi-scale fracture processes. Meanwhile, rocks are commonly subjected simultaneously to complex static stress and strong dynamic disturbance, providing a hotbed for the occurrence of rock failures. In addition, there are many multi-physics coupling processes in a rock mass. It is still difficult to understand these rock mechanics and characterize rock behavior during complex stress conditions, multi-physics processes, and multi-scale changes. Therefore, our understanding of rock mechanics and the prevention and control of failure and instability in rock engineering needs to be furthered. The primary aim of this Special Issue “Mathematical Problems in Rock Mechanics and Rock Engineering” is to bring together original research discussing innovative efforts regarding in situ observations, laboratory experiments and theoretical, numerical, and big-data-based methods to overcome the mathematical problems related to rock mechanics and rock engineering. It includes 12 manuscripts that illustrate the valuable efforts for addressing mathematical problems in rock mechanics and rock engineering.

Format
  • Hardback
License and Copyright
© 2022 by the authors; CC BY-NC-ND license
Keywords
cemented rock sample; SHPB impact; PSD; fractal dimension; rock; rock thin-section image; image classification; convolutional neural network; deep learning; CT scan; 3D displacement field; 3D stress field; meshfree numerical simulation; high-temperature marble; SEM; dynamic properties; crack propagation; predictive models; damage factor; thermal treatment; computer simulations; ANNs; ANFIS; rock acoustic emission; apparent amplitude distribution; b value; completeness amplitude; bootstrap; rock-blasting; smoke-dust pollution; digital image processing; fractal dimension; grayscale average; hazards classification; uniaxial compressive strength; prediction model; extreme learning machine; metaheuristic algorithm; tunnel; dynamic disturbance; strain energy; damage; distribution; crack; freeze-and-thaw weathering cycles; confining pressure; confining pressure increase factor (CPIF); strength evolution model; nuclear magnetic resonance (NMR); angle of internal friction; cohesion; geotechnical parameters; support vector machine; intelligent prediction; dynamic tensile mechanical property; outburst coal; crack extension; strain energy density; impact loading; n/a