Symbolic computation in structural engineering

MN Pavlović - Computers & structures, 2003 - Elsevier
Nowadays computers can perform symbolic calculations––in addition to mere numerical
computations for which they were originally designed––and this opens up exciting …

Neural network-assisted design: a study of multiscale topology optimization with smoothly graded cellular structures

S Rastegarzadeh, J Wang… - Journal of …, 2023 - asmedigitalcollection.asme.org
Integration of machine learning (ML) with topology optimization (TO) has been attempted in
many works. However, most works employ ML in a data-driven paradigm, which requires …

Two-scale topology optimization with isotropic and orthotropic microstructures

S Rastegarzadeh, J Wang, J Huang - Designs, 2022 - mdpi.com
Advances in additive manufacturing enable the fabrication of complex structures with
intricate geometric details, which bring opportunities for high-resolution structure design and …

Data-driven synchronization-avoiding algorithms in the explicit distributed structural analysis of soft tissue

GG Tong, DE Schiavazzi - Computational Mechanics, 2023 - Springer
We propose a data-driven framework to increase the computational efficiency of the explicit
finite element method in the structural analysis of soft tissue. An encoder–decoder long short …

Improvement on the 10-node tetrahedral element for three-dimensional problems

SH Lo, C Ling - Computer Methods in Applied Mechanics and …, 2000 - Elsevier
By decomposing the strain part of the conforming 10-node tetrahedral element T10 and
relaxing the compatibility condition for the constant strain term, the performance of the …

A ten node tetrahedral Cosserat Point Element (CPE) for nonlinear isotropic elastic materials

M Jabareen, E Hanukah, MB Rubin - Computational Mechanics, 2013 - Springer
It is known that the standard full integration ten node tetrahedral element is inaccurate for
thin nearly incompressible structures. Also, the commercial code ABAQUS recommends …

Two-scale topology optimization with parameterized cellular structures

S Rastegarzadeh, J Wang… - … and Information in …, 2021 - asmedigitalcollection.asme.org
Advances in additive manufacturing enable the fabrication of complex structures with
intricate geometric details. It also escalates the potential for high-resolution structure design …

Closed-form expressions for the linear and quadratic strain tetrahedral finite elements

PS Shiakolas, KL Lawrence, RV Nambiar - Computers & structures, 1994 - Elsevier
The use of closed-form expressions in a finite element code significantly reduces the time
required to evaluate the element stiffness matrix as compared to Gaussian quadrature. The …

Multi-scale topology optimization with neural network-assisted optimizer

S Rastegarzadeh, J Wang… - … and Information in …, 2022 - asmedigitalcollection.asme.org
High-resolution structural designs attracts researchers to multi-scale topology optimizations
(TO) paradigms. With the advances of machine learning (ML) methods, the integration of ML …

Automatic adaptive refinement finite element procedure for 3D stress analysis

CK Lee, SH Lo - Finite elements in analysis and design, 1997 - Elsevier
An automatic adaptive refinement procedure for 3D finite element analysis is presented.
Based on a carefully designed procedure to eliminate the instability of the superconvergent …