3 papers
math.NA2026
Buckling Prediction for Nonlinear Elastic Beams with Soft Inclusions
Thien Tran-Duc, J. E. Bunder, A. J. Roberts
We develop an efficient and accurate multiscale computational framework for predicting the buckling and post-buckling behaviour of elastic beams containing periodically distributed…
math.DS2024
Efficient prediction of static and dynamical responses of functional graded beams using sparse multiscale patches
Thien Tran-Duc, J. E. Bunder, A. J. Roberts
We develop a multiscale patch scheme for studying the system level characteristics of heterogeneous functional graded beams. The algorithm computes the detailed beam dynamics on th…
cs.CE2023
Efficient computational homogenisation of 2D beams of heterogeneous elasticity using the patch scheme
Thien Tran-Duc, J. E. Bunder, A. J. Roberts
Modern 'smart' materials have complex heterogeneous microscale structure, often with unknown macroscale closure but one we need to realise for large scale engineering and science.…