Pavement Mechanistic-Empirical Design & Damage Modeling: Multi-Layer Elastic Kinetics, Miner’s Fatigue Accumulation, and Permanent Rutting Mechanics
Mechanistic-Empirical Pavement Design (MEPD) evaluates the structural responses—specifically critical strains and stresses—of flexible and rigid pavement structures subjected to repeated dynamic traffic loading and environmental fluctuations. Moving beyond empirical structural number (SN) methods, MEPD integrates multi-layer elastic wave kinetics, viscoelastic material characterization, climate-adjusted dynamic modulus functions, and empirical damage accumulation models to mitigate fatigue cracking and rutting distresses over design life horizons. Under multi-layer linear elastic theory, the horizontal tensile strain ($\epsilon_t$) at the bottom of the bound asphalt layer and vertical compressive strain ($\epsilon_v$) at the top of the subgrade soil layer are computed using Burmister’s Layered Boundary Field Equations for axisymmetric wheel load pressure ($q$): $$\sigma_z = q \cdot a \int_0^\infty J_0(m \cdot r) \cdot J_1(m \cdot a) \cdot f(z, m, E_i, \nu_i) \, dm$$ Where $a$ i...