Seismic slope permanent displacement calculation based on improved Newmark model using upper bound solution of...

Area of Science:

• Geotechnical Engineering
• Seismology
• Computational Mechanics

Background:

• The Newmark sliding displacement method is a fundamental tool for seismic slope analysis.
• Accurate calculation of permanent seismic displacements is critical for slope engineering safety and design.

Purpose of the Study:

• To propose an improved Newmark method incorporating plastic mechanics and specific kinematic conditions.
• To develop a C++ program for precise calculation of permanent slope displacements under seismic loads.

Main Methods:

• The improved method utilizes the upper bound solution of plastic mechanics and integrates variable acceleration-based integration domains.
• The inclined strip method is employed to construct velocity fields for enhanced displacement calculations.
• Validation involved ideal slope models and real-world case studies with various seismic wave inputs.

Main Results:

• The improved Newmark program demonstrated high accuracy and applicability when compared with pseudo-static methods and commercial software for ideal slopes.
• Calculations for a real-world colluvial deposit slope model closely matched observed data using different seismic waves and amplification factors.

Conclusions:

• The enhanced Newmark program offers a more accurate method for calculating permanent seismic displacements.
• This improved approach has significant implications for the design and safety assessment of slope engineering projects.