Multiphysics in Porous Materials

Part 1 IntroductionChapter 1 History and FutureChapter 2 What is MultiphysicsChapter 3 How to Do MultiphysicsChapter 4 Multiphysics in Porous MaterialsChapter 5 How to Use this BookPart 2 Mathematical BackgroundChapter 6 Tensor and FieldChapter 7 Tensor AnalysisChapter 8 Index Notation and Tensor NotationChapter 9 Partial Differential EquationsChapter 10 Numerical Solution of PDEsPart 3 Monolithic PhysicsChapter 11 Thermo: Heat TransferChapter 12 Hydro: Pore Water MovementChapter 13 Concentrato: Transport of Dispersed MassChapter 14 Mechano: Stress and StrainChapter 15 Dyno: DynamicsChapter 16 Chemico: Chemical ReactionChapter 17 Electro: ElectrostaticsChapter 18 Magneto: MagnetostaticsPart 4 MultiphysicsChapter 19 Thermomechanics: Non-Isothermal MechanicsChapter 20 Hydromechanics: Poroelasticity as a Simple CaseChapter 21 ThermohydromechanicsChapter 22 ElectrokineticsChapter 23 ElectromagneticsChapter 24 Fluid DynamicsChapter 25 Hydrodynomechanics: Fluid-Structure InteractionChapter 26 ThermoelectromagneticsChapter 27 ElectromagnetomechanicsPart 5 Implementation MethodsChapter 28 Finite Difference MethodChapter 29 Finite Volume MethodChapter 30 Finite Element MethodReferencesIndex

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.