Dr. Zhen Liu is a faculty member at Michigan Technological University in Houghton, Michigan. Dr. Liu has over ten years of experience in various multiphysics topics including thermomechanics, thermohydromechanical processes, poroelasticity, electrokinetics, fluid-structure interaction, non-isothermal buoyancy-driven flow, mechanical and electromagnetic waves, heating with electromagnetics, piezoelectric and triboelectric applications, and so on. His work has been applied to the safety, sustainability, energy, and artificial intelligence aspects of geosystems consisting of porous materials such as soils and cement-based materials. In addition, Dr. Liu has been focusing on the scientific understanding of couplings between physical fields in porous materials such as the stress formulation, thermally-induced water flux, wettability and adsorption of minerals, electrokinetic fluxes, and phase changes. Besides research, Dr. Liu has been offering one of the first graduate-level multiphysics courses with a focus on the mathematics, physics, application, and implementations of multiphysics around the world. He has also been leading a community-level education and outreach effort for developing a general learning and networking website for multiphysics.

This book summarizes, defines, and contextualizes multiphysics with an emphasis on porous materials. It covers various essential aspects of multiphysics, from history, definition, and scope to mathematical theories, physical mechanisms, and numerical implementations. The emphasis on porous materials maximizes readers' understanding as these substances are abundant in nature and a common breeding ground of multiphysical phenomena, especially complicated multiphysics. Dr. Liu's lucid and easy-to-follow presentation serve as a blueprint on the use of multiphysics as a leading edge technique for computer modeling. The contents are organized to facilitate the transition from familiar, monolithic physics such as heat transfer and pore water movement to state-of-the-art applications involving multiphysics, including poroelasticity, thermohydro-mechanical processes, electrokinetics, electromagnetics, fluid dynamics, fluid structure interaction, and electromagnetomechanics. This volume serves as both a general reference and specific treatise for various scientific and engineering disciplines involving multiphysics simulation and porous materials.

Part 1 Introduction.- History and Future.- What is Multiphysics.- How to Do Multiphysics.- Multiphysics in Porous Materials.- How to Use this Book.- Part 2 Mathematical Background.- Tensor and Field.- Tensor Analysis.- Index Notation and Tensor Notation.- Partial Differential Equations.- Numerical Solution of PDEs.- Part 3 Monolithic Physics.- Thermo: Heat Transfer.- Hydro: Pore Water Movement.- Concentrato: Transport of Dispersed Mass.- Mechano: Stress and Strain.- Dyno: Dynamics.- Chemico: Chemical Reaction.- Electro: Electrostatics.- Magneto: Magnetostatics.- Part 4 Multiphysics.- Thermomechanics: Non-Isothermal Mechanics.- Hydromechanics: Poroelasticity as a Simple Case.- Thermohydromechanics.- Electrokinetics.- Electromagnetics.- Fluid Dynamics.- Hydrodynomechanics: Fluid-Structure Interaction.- Thermoelectromagnetics.- Electromagnetomechanics.- Part 5 Implementation Methods.- Finite Difference Method.- Finite Volume Method.- Finite Element Method.- References.- Index.