Adaptive analysis using scaled boundary finite element method in 3D
In this paper, an adaptive refinement technique using the scaled boundary finite element
method (SBFEM) is proposed. The salient feature of this technique is that it is not required to …
method (SBFEM) is proposed. The salient feature of this technique is that it is not required to …
Taylor-series expansion based numerical methods: a primer, performance benchmarking and new approaches for problems with non-smooth solutions
We provide a primer to numerical methods based on Taylor series expansions such as
generalized finite difference methods and collocation methods. We provide a detailed …
generalized finite difference methods and collocation methods. We provide a detailed …
'Explicit'and 'implicit'non-local continuous descriptions for a plate with circular inclusion in tension
Increasing application of composite structures in engineering field inherently speed up the
studies focusing on the investigation of non-homogeneous bodies. Due to their capability on …
studies focusing on the investigation of non-homogeneous bodies. Due to their capability on …
Vibration of cracked functionally graded microplates by the strain gradient theory and extended isogeometric analysis
In this study, the vibration behaviours of functionally graded microplates with cracks are
investigated by means of a simple yet rigorous version of Mindlin's generialised continuum …
investigated by means of a simple yet rigorous version of Mindlin's generialised continuum …
Physics-informed kernel function neural networks for solving partial differential equations
This paper proposes an improved version of physics-informed neural networks (PINNs), the
physics-informed kernel function neural networks (PIKFNNs), to solve various linear and …
physics-informed kernel function neural networks (PIKFNNs), to solve various linear and …
Some novel numerical applications of Cosserat continua
Cosserat continua demonstrated to have peculiar mechanical properties, with respect to
classic Cauchy continua, because they are able to more accurately describe heterogeneous …
classic Cauchy continua, because they are able to more accurately describe heterogeneous …
[HTML][HTML] An isogeometric boundary element formulation for stress concentration problems in couple stress elasticity
An isogeometric boundary element method (IGABEM) is developed for the analysis of two-
dimensional linear and isotropic elastic bodies governed by the couple stress theory. This …
dimensional linear and isotropic elastic bodies governed by the couple stress theory. This …
Stress distribution around an elliptic hole in a plate with 'implicit'and 'explicit'non-local models
M Tuna, P Trovalusci - Composite Structures, 2021 - Elsevier
Understanding the effects of defects is crucial due to their deliberate or unintentional
presence in many materials. Classical theory of elasticity may not be the best candidate to …
presence in many materials. Classical theory of elasticity may not be the best candidate to …
[HTML][HTML] Micropolar beam-like structures under large deformation
Results from experimental torsion and bending tests show the existence of a size effect,
which conventional continuum models are unable to describe. Therefore, the incorporation …
which conventional continuum models are unable to describe. Therefore, the incorporation …
FEM-PIKFNN for underwater acoustic propagation induced by structural vibrations in different ocean environments
In this paper, a novel hybrid method based on the finite element method (FEM) and physics-
informed kernel function neural network (PIKFNN) is proposed. The method is applied to …
informed kernel function neural network (PIKFNN) is proposed. The method is applied to …