Mathematical Modelling of a 1-Dimensional Road Deformation

Student: IFEANYICHUKWU CHINEDUDIVINE NWANKWO (Project, 2025)
Department of Industrial Mathematics
Federal University of Technology, Owerri, Imo State

Abstract

Road deformation is a critical issue in transportation infrastructure, influenced by
mechanical stresses from traffic loads and environmental factors. This project
applies the Finite Difference Method (FDM) to model one-dimensional road
deformation under a uniformly distributed load, with a focus on predicting
displacement at various points along the road. The study establishes a Mathematical
Model based on elasticity theory, discretizing the road into finite nodes to
approximate deformation using numerical methods. Key assumptions include static
loading conditions, uniform material properties, and fixed or free boundary
constraints.

Keywords
Road Deformation Finite Difference Method Elasticity Theory Numerical Modeling Boundary Conditions Displacement Analysis Material Elasticity Load Distribution Infrastructure Durability Mechanical Stress
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