The effect of lateral inertia on the propagation of plastic strain in a cylindrical rod

Abstract

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A non-collocated method to quantify plastic deformation caused by impact pile driving

“…in which σ denotes the axial stress. This set of equations closely resembles the model equations presented in the paper by DeVault [10] based on the Rayleigh-Love rod theory. For a solid cylindrical rod with radius R, the expression for the axial stress becomes:…”

“…Since the system of equations (10) is not yet complete, auxiliary relations for the plastic axial strain, ε p (x, t), are needed. Assuming uni-axial plasticity with linear isotropic hardening, one obtains [25]:…”

“…The propagation of elasto-plastic stress waves in solid metal cylinders has been studied already from the 1940s onwards; validated against high velocity impact experiments, rate-independent theories based on the classical wave equation were developed [8,9]. More advanced models included lateral inertia of the cross-section [10] and rate-dependency of the material [11]. Using these models, the dynamic properties of metals can be determined from experimental data [12].…”

Plasticity Detection and Quantification in Monopile Support Structures Due to Axial Impact Loading

“…The monopile is modelled by the one-dimensional rod theory [4], which includes the Rayleigh-Love correction term [5] to account for stress wave dispersion expected for piles of large diameter. The model relates the axial displacement u(x, t) and the axial stress σ(x, t) as follows:…”