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Supplemental Material S1: Finite-Difference Discretization and Joint-Node Derivations for Longitudinal Time-dependent Response of Existing Pipelines Triggered by Tunnel Down-crossing Considering Pipeline-soil Interface Gap Evolution

Year: 2026

Type: supplementary-materials

Abstract: This supplemental material provides detailed finite-difference discretization formulas, joint-node derivations, virtual-node treatments, and global matrix definitions supporting the time-dependent pipeline response analysis presented in the associated manuscript entitled “Longitudinal Time-dependent Response of Existing Pipelines Triggered by Tunnel Down-crossing Considering Pipeline-soil Interface Gap Evolution.” The material is intended to supplement the theoretical formulations in the main manuscript and to improve the reproducibility of the proposed analytical framework.

Source: Zenodo (CERN European Organization for Nuclear Research)

DOI: 10.5281/zenodo.21032911

Authors: Zhang, Shuiliang, Zhang, Yunpeng, El Naggar, M. Hesham, Wu, Wenbing

Institutions: China University of Geosciences, Western University

Language: English

Topic: Geotechnical Engineering and Underground Structures

Subfield: Civil and Structural Engineering

Field: Engineering

Domain: Physical Sciences

SDG: Industry, innovation and infrastructure

Open Access status: green

OpenAlex ID: W7166558978

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