Joris J. C. Remmers

Non-Linear Finite Element Analysis of Solids and Structures: de Borst/Non-Linear Finite Element Analysis of Solids and Structures

Built upon the two original books by Mike Crisfield and their own lecture notes, renowned scientist Rene de Borst and his team offer a thoroughly updated yet condensed edition that retains and builds upon the excellent reputation and appeal amongst students and engineers alike for which Crisfields first edition is acclaimed. Together with numerous additions and updates, the new authors have retained the core content of the original publication, while bringing an improved focus on new developments and ideas. This edition offers the latest insights in non-linear finite element technology, including non-linear solution strategies, computational plasticity, damage mechanics, time-dependent effects, hyperelasticity and large-strain elasto-plasticity. The authors integrated and consistent style and unrivalled engineering approach assures this books unique position within the computational mechanics literature.

Application of the Discontinuous Solid-Like Shell Element to Delamination

A possible failure mechanism in layered composite materials is delamination. This mechanism can be analysed numerically using the discontinuous solid-like shell element. In this element, the delamination crack can occur at arbitrary locations and is incorporated as a jump in the displacement field by using the partition-of-unity property of finite element shape functions. The performance of the element is demonstrated by a small example.

Numerical Modelling of Fibre Metal Laminates Under Thermomechanical Loading

1 General Introduction A thermo-mechanical finite element model, based on a solid-like shell element, has been developed. The use of standard continuum elements to model thinwalled structures, such as a fuselage skin, may lead to problems as they tend to show Poisson-thickness locking for high aspect ratios. Therefore a solid-like shell element has been extended to include the temperature field and thermal expansion. The coupled system of equations is solved simultaneously. This numerical model is used to characterise the behaviour of fibre metal laminates under thermo-mechanical loadings. A bi-material strip subjected to a heat source is presented as a benchmark test to demonstrate the performance of the thermo-mechanical solid-like shell element. With a minimum amount of elements and a high aspect ratio the results are accurate and in agreement with the analytical solution.

A Cohesive Segments Approach For Dynamic Crack Growth

In the cohesive segments method, a crack is represented by a set of overlapping cohesive segments which are inserted into finite elements as discontinuities in the displacement field using the partition-of-unity property of shape functions. The evolution of decohesion of the segments is governed by a relation between the displacement jump and traction across the segment. The formulation permits both crack nucleation and discontinuous crack growth to be modelled. Here, the cohesive segments formulation for dynamic crack growth is presented and application of the methodology is illustrated in two numerical examples.

An Evaluation of the Accuracy of Discontinuous Finite Elements in Explicit Dynamic Calculations

The use of partition of unity based discontinuous finite element formulations for the simulation of crack propagation with implicit simulations is now well established. However, in explicit simulations the accuracy is still a point of concern. Some outstanding issues will be addressed in this paper.