SUMMARY In this paper, a method to analyse and predict crack propagation in thin‐walled structures subjected to large plastic deformations when loaded at high strain rates—such as impact and/or blast—has been proposed. To represent the crack propagation independently of the finite element discretisation, an extended finite element method based shell formulation has been employed. More precisely, an underlying 7‐parameter shell model formulation with extensible directors has been extended by locally introducing an additional displacement field, representing the displacement discontinuity independently of the mesh. Of special concern in the paper has been to find a proper balance between, level of detail and accuracy when representing the physics of the problem and, on the other hand, computational efficiency and robustness. To promote computational efficiency, an explicit time step scheme has been employed, which however has been discovered to generate unphysical oscillations in the response upon crack propagation. Therefore, special focus has been placed to investigate these oscillations as well as to find proper remedies. The paper is concluded with three numerical examples to verify and validate the proposed model.Copyright © 2013 John Wiley & Sons, Ltd.

Human body models with biofidelic kinematics in vehicle pre-crash and crash simulations require a constitutive model of muscle tissue with both passive and active properties. Therefore, a transversely isotropic viscohyperelastic continuum material model with element-local fiber definition and activation capability is suggested for use with explicit finite element codes. Simulations of experiments with New Zealand rabbit's tibialis anterior muscle at three different strain rates were performed. Three different active force-length relations were used, where a robust performance of the material model was observed. The results were compared with the experimental data and the simulation results from a previous study, where the muscle tissue was modeled with a combination of discrete and continuum elements. The proposed material model compared favorably, and integrating the active properties of the muscle into a continuum material model opens for applications with complex muscle geometries.

Summary In the present paper, we address the delicate balance between computational efficiency and level of detailing at the modelling of ductile fracture in thin‐walled structures. To represent the fine‐scale nature of the ductile process, we propose a new extended finite element method‐based enrichment of the displacement field to allow for crack tips that end or kink within an element. The idea is to refine the crack tip element locally in a way such that the macroscale node connectivity is unaltered. This allows for a better representation of the discontinuous kinematics without affecting the macroscale solution procedure, which would be a direct consequence of a regular mesh refinement. The method is first presented in a general 3D setting, and thereafter, it is specialised to shell theory for the modelling of crack propagation in thin‐walled structures. The paper is concluded by a number of representative examples showing the accuracy of the method. We conclude that the ideas proposed in the paper enhance the current methodology for the analysis of ductile fracture of thin‐walled large‐scale structures under high strain rates. Copyright © 2016 John Wiley & Sons, Ltd.