Multiscale Modelling of Flexible Pipes With Nonlinear Homogenisation Available to Purchase

A multi-scale framework for the analysis of flexible pipes and risers is presented, consisting of (1) a new corotational, elastoplastic beam element for flexible pipe modelling, (2) a representative volume element (RVE) consisting of a detailed shell-element model with interlaminar friction, and (3) a scale-linking scheme for a multiscale analysis using (1) and (2), justified using homogenisation theory. This enables wire stress-history data to be recovered by postprocessing the results of a large-scale dynamic analysis using (1). We develop a form of nonlinear homogenisation appropriate for flexible pipe RVEs, recognising the primacy of curvatures and handling the discontinuities in the local displacement field due to interlaminar slip. The enforcement of the Hill-Mandel condition and attention to appropriate boundary conditions ensure that the micro- and macro-scale models are dynamically compatible. We demonstrate the effectiveness of the method with a simple analysis.