Mathematical Modeling and Numerical Simulation of Geomechanics
A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Engineering Mathematics".
Deadline for manuscript submissions: closed (1 September 2021) | Viewed by 847
Special Issue Editors
Interests: mathematical modeling in continuum mechanics; constitutive modeling; coupled multiscale and multiphysics models in soil mechanics; numerical and analytical solutions of partial differential equations
Interests: numerical analysis and soft computation methods in geotechnics; advanced constitutive modeling; system identification and probabilistic analysis in geomechanics; hydromechanical behavior of geosynthetic reinforced geostructures; numerical simulations in underground space engineering
Interests: constitutive models for soils under high- and low-cycle loading; calibration and verification of constitutive models for cohesive soils with focus to cyclic loading; modeling long-term deformations and soil structure interaction for offshore wind power plant foundations
Special Issue Information
In the past few decades, the use of state-of-the art mathematical and numerical models in the field of geomechanics has become a common approach, attracting researchers from different scientific fields. It is well recognized that the numerical and analytical assessment of nonlinear geomechanical problems along with the variability of the properties and characteristics of the geomaterials require solutions involving sophisticated mathematical models and numerical algorithms. Considering the various types of geomaterials and possible coupled thermo-hydromechanical interactions from micro to macro scales, the material behavior of geomaterials has been essentially described by advanced constitutive models. In addition to the complexities involved in the solution of the mathematical equations for the numerical simulation of deterministic systems, one of the recent challenges deals with an extension of the mathematical formulations to analyze the geomechanical systems in a probabilistic frame in order to assess the corresponding uncertainties. Most recently, advanced mathematical approaches such as sensitivity analysis, optimization algorithms, and surrogate modeling techniques have been adopted to incorporate advanced computational methods into probabilistic and deterministic modeling in geomechanics.
The key objective of this Special Issue is to collect and disseminate the latest developments in application to geomechanics of advanced mathematical modeling and numerical simulation techniques to enhance the quality of predictions by reducing the numerical error as well as model uncertainties.
We cordially invite you to submit to this Special Issue of the Journal of Mathematics your high-quality manuscripts on mathematical and numerical modeling in geomechanics. The theme of the paper may relate to any of the fascinating problems in geomechanics, such as settlements, stability of excavations, tunnels and offshore platforms, landslides, earthquakes, liquefaction, wellbore stability, sand production, hydraulic fracturing, energy storage facilities, etc.
Prof. Dr. Maria Datcheva
Dr. Arash Alimardani Lavasan
Prof. Dr. Torsten Wichtmann
Guest Editors
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Keywords
- Constitutive models for soils and rocks
- Unsaturated soil mechanics
- Elastoplasticity, viscoplasticity, bounding surface plasticity, hypoplasticity
- Wave propagation
- Time dependent and cyclic loading
- Heterogeneous particulate media
- Micro–meso–macro scale modeling
- Coupled thermo-hydro-mechanical simulations
- Multiscale analysis
- Metamodeling
- Sensitivity analysis and optimization
- Probabilistic geomechanical analysis
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