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Advances in Numerical Computation and Mathematical Modeling for Geotechnical Mechanics and Dynamics

This special issue belongs to the section “C2: Dynamical Systems“.

Special Issue Information

Dear Colleagues,

We are pleased to invite you to contribute to the Special Issue “Advances in Numerical Computation and Mathematical Modeling for Geotechnical Mechanics and Dynamics”. With the rapid development of geotechnical engineering toward deep burial and complex geological environments, engineering challenges such as rock/soil dynamic failure, rockbursts, geothermal damage, and microseismic hazards have become increasingly prominent. These problems are characterized by the nonlinearity, time dependence, and multi-field coupling of rock/soil mechanical behaviors, making traditional analytical methods difficult to meet the demands of accurate analysis, evaluation, and design. The integration of advanced numerical computation techniques, mathematical modeling theories, and engineering practice has become an indispensable approach to solving these complex issues. This research area not only bridges mathematics, mechanics, and geotechnical engineering but also provides critical technical support for the safety, efficiency, and sustainability of infrastructure projects such as tunnels, mines, and underground storage facilities, highlighting its important academic value and practical significance.

This Special Issue aims to gather high-quality original research articles, review papers, and case studies that focus on the latest advances in numerical computation and mathematical modeling for geotechnical mechanics and dynamics. It seeks to promote academic exchange and innovation in this interdisciplinary field, summarize cutting-edge research achievements, and explore future development directions.

In this Special Issue, original research articles and reviews are welcome. Research areas may include (but are not limited to) the following:

  • Novel mathematical models and constitutive relations for rock/soil nonlinear dynamic behaviors;
  • Advanced numerical computation methods (e.g., FEM/DEM) for geotechnical engineering;
  • Multi-physical field coupling simulation (thermo–hydro–mechanical–chemical interactions) in rock/soil systems;
  • Application of nonlinear dynamics and stability theory in geotechnical engineering;
  • AI-driven analysis and predictive modeling for rock/soil dynamic/static responses;
  • Stability evaluation and optimization design of underground structures under complex loads;
  • Case studies on numerical computation and mathematical modeling in practical geotechnical projects.

I look forward to receiving your contributions.

Dr. Hao Xiong
Guest Editor

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 250 words) can be sent to the Editorial Office for assessment.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Mathematics is an international peer-reviewed open access semimonthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • geotechnical mechanics and dynamics
  • numerical computation methods
  • mathematical modeling
  • multi-physical field coupling simulation
  • nonlinear dynamics
  • constitutive relations
  • AI-driven geotechnical analysis

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Mathematics - ISSN 2227-7390