IUTAM Symposium on Theoretical and Numerical Methods in Continuum Mechanics of Porous Materials

During the last decades, continuum mechanics of porous materials has achieved great attention, since it allows for the consideration of the volumetrically coupled behaviour of the solid matrix deformation and the pore-fluid flow. Naturally, applications of porous media models range from civil and environmental engineering, where, e. g. , geote- nical problems like the consolidation problem are of great interest, via mechanical engineering, where, e. g. , the description of sinter materials or polymeric and metallic foams is a typical problem, to chemical and biomechanical engineering, where, e. g. , the complex structure of l- ing tissues is studied. Although these applications are principally very different, they basically fall into the category of multiphase materials, which can be described, on the macroscale, within the framework of the well-founded Theory of Porous Media (TPM). With the increasing power of computer hardware together with the rapidly decreasing computational costs, numerical solutions of complex coupled problems became possible and have been seriously investigated. However, since the quality of the numerical solutions strongly depends on the quality of the underlying physical model together with the experimental and mathematical possibilities to successfully determine realistic material parameters, a successful treatment of porous materials requires a joint consideration of continuum mechanics, experimental mechanics and numerical methods. In addition, micromechanical - vestigations and homogenization techniques are very helpful to increase the phenomenological understanding of such media.

Autorentext
Prof. Dr.-Ing. Wolfgang Ehlers studierte Bauingenieurwesen an der Universität Hannover, promovierte und habilitierte an der Universität Essen und war 1991-95 Professor für Mechanik an der TU Darmstadt. Seit 1995 ist er Professor für Technische Mechanik an der Universität Stuttgart. Seine Arbeitsgebiete umfassen die Kontinuumsmechanik, die Materialtheorie, die Experimentelle und die Numerische Mechanik. Dabei ist er insbesondere an der Modellierung mehrphasiger Materialen bei Anwendungen im Bereich der Geomechanik und der Biomechanik interessiert.

Klappentext

This volume presents the Proceedings of the IUTAM Symposium on 'Theoretical and Numerical Methods in Continuum Mechanics of Porous Materials' held at the University of Stuttgart, Germany, September 5-10, 1999. It contains 57 articles showing the state of the art in the field of porous media research. The goal of the Symposium was to bring together the scientific results of leading experts in the field. Thus, the volume provides the whole range of modelling empty, partially saturated and fully saturated porous materials, such as soil, concrete, sinter materials, metallic and polymeric foams, glacier and rock ice, living tissues, etc. In addition to the macroscopic continuum mechanical view of porous materials and the numerical computations of fully coupled solid-fluid problems, micro-to-macro homogenization strategies are presented and material parameters are compared to experimental data to optimize the geometrically linear and finite approaches for the description of the elastic, viscous and plastic properties of the solid matrix and the viscous properties of the pore-fluids. In addition to these general topics, several contributions are included concerning the fields of wave propagation, localization phenomena, Biot's approach to porous media, fracture and damage, swelling, drying and shrinkage, as well as composite materials. Like a state-of-the-art volume, this book allows researchers and engineers to get an excellent overview of the theoretical and numerical description of porous materials, including various applications to practical engineering problems.

Inhalt
Opening.- to the Porous Media Theory.- 2-D Localisation Analysis of Saturated Porous Media.- Constitutive Modelling.- Evolution of the Volume Fractions in Compressible Porous Media.- Constitutive Relations for Thermo-elastic Porous Solids within the Framework of Finite Deformations.- A Generalized Cam-clay Model.- Experiments and Parameter Identification.- Theoretical and Experimental Investigation into Mechanical Properties of High Density Foam Plastics.- A Unified Sensitivity Analysis Approach for Parameter Identification of Material Models in Fluid-saturated Porous Media.- Numerical Aspects.- Numerical Solution of Soil Freezing Problem by a New Finite Element Scheme.- Space-time Finite Elements and Adaptive Strategy for the Coupled Poroelasticity Problem.- Poster Session A.- Packed-to-fluidized Bed Transition and Origin of Particle-free Regions.- h-Adaptive Strategies Applied to Multi-phase Models.- A Viscoelastic Two-phase Model for Cartilage Tissues.- A Poroelastic Material with a Scale Independent Pressure-volume Relation.- Numerical modelling of Cartilage as a Deformable Porous Medium.- Numerical Description of Elastic-plastic Behavior of Saturated Porous Media.- Homogenization.- Effective Physical Properties of Sandstones.- Perspective of Computational Micro-macro-transition for the Posteritical Analysis of Localized Failure.- Micromechanics of Unsaturated Porous Media.- Influence of Porosity on the Response of Fibrous Composites.- Biot's Theory.- Non Linear Thermomechanical Couplings in Unsaturated Clay Barriers.- Porothermoelasticity in Transversely Isotropic Porous Materials.- Constitutive Description of Fluid-porous Solid Immiscible Mixtures. Derivation of the Effective Stress-strain Relation.- Flow in Porous Media.- Two-phase Flow Modelling of FloodDefense Structures.- A Sand Erosion Problem in Axial Flow Conditions on the Example of Contact Erosion due to Horizontal Groundwater Flow.- Waves in Porous Media I.- Rayleigh Waves in Porous Media Saturated with Liquid.- Geometry Effects on Sound in Porous Media.- Mechanics of Liquefaction in Saturated Granular Soils.- Poster Session B.- Fluid Mechanics in Minkowski Space. Modelling of Fluid Motion in Porous Materials with Anisotropic Pore Space Structure.- Modelling of Soils by Use of the Theory of Porous Media.- Integration and Calibration of a Plasticity Model for Granular Materials.- Mechanical Properties of Modified Wood.- Water Transport in Phase-changing Snowpacks.- Localization.- Modelling of Localisation at Finite Inelastic Strains in Fluid Saturated Porous Media.- Influence of Density and Pressure on Spontaneous Shear Band Formations in Granular Materials.- Localization Analysis of a Saturated Elastic Plastic Porous Medium Based on Regularized Discontinuity.- Extended Models.- Shear Band Localization in Frictional Geomaterials: Basic Modelling and Adaptive Computations.- Analysis of Instability Conditions for Normally Consolidated Soils.- Structure and Elastic Properties of Reinforced Cellular Plastics.- Micromechanics.- Effective Stress and Capillary Pressure in Unsaturated Porous Media.- Porous Medium Mechanics and the Skin Barrier.- Discrete Element Modelling of Compaction of Cylindrical Powder Particles.- Fracture and Damage.- Modeling of In-situ Solution Mining Processes.- Coupling of Damage and Fluid-solid Interactions in Quasi-brittle Unsaturated Porous Materials.- An Influence of Initial Porosity on Damage Process in Semi-brittle Polycrystalline Ceramics under Compression.- Swelling, Drying and Shrinkage.- The Physical Role of Crack Rate Dependence inthe Long-term Behaviour of Cementitious Materials.- Macroscopic Swelling of Clays Derived from Homogenization.- Extending Griffiths Theory to Cohesive Types of Dried Materials.- Waves in Porous Media II.- Reflection and Transmission of Waves at a Fluid/Porous-medium Boundary.- Poroelasto-electric Longitudinal Waves in Porous Wet Long Bones - a Transmission Line Model.- Scattering of SH-waves by a Porous Slab - Approximate Solution.- Applications.- A Three-dimensional Nonlinear Model for Soil Consolidation.- Poster Session D.- Drying Induced Stresses in Vis…