29 citations · 49 across the 9 of their papers we have counts for
12 papers
The maximal dimensions of path and graph algebras
Piotr M. Hajac, Elizabeth A. Pacheco, Łukasz Kaczmarczyk +1
We consider the class of acyclic connected directed graphs with . In this paper we find the optimal upper bound for the number of paths amongst acyclic, connected graphs w…
A multiphysics model for triboelectric nanogenerator design with explicit surface roughness representation
MD Tanzib Ehsan Sanglap, Jack Perris, Rudra Mukherjee +5
The design of triboelectric nanogenerators (TENGs) for efficient energy harvesting requires predictive models that capture the interplay between surface roughness, real contact are…
Conservative data-driven finite element framework
Adriana Kuliková, Andrei G. Shvarts, Łukasz Kaczmarczyk +1
This paper presents a new data-driven finite element framework that is applicable to a broad range of engineering simulation problems. In the data-driven approach, the conservation…
A p-adaptive, implicit-explicit mixed finite element method for reaction-diffusion problems
Mebratu Wakeni, Ankush Aggarwal, Lukasz Kaczmarczyk +4
A new class of implicit-explicit (IMEX) methods combined with a p-adaptive mixed finite element formulation is proposed to simulate the diffusion of reacting species. Hierarchical…
Solid shell prism elements based on hierarchical, heterogeneous, and anisotropic shape functions
Lukasz Kaczmarczyk, Hoang Nguyen, Zahur Ullah +2
The formulation of a new prism finite element is presented for the nonlinear analysis of solid shells subject to large strains and large displacements. The element is based on hier…
Numerical investigation into fracture resistance of bone following adaptation
Karol Lewandowski, Łukasz Kaczmarczyk, Ignatios Athanasiadis +2
Bone adapts in response to its mechanical environment. This evolution of bone density is one of the most important mechanisms for developing fracture resistance. A finite element f…
Three-dimensional nonlinear micro/meso-mechanical response of the fibre-reinforced polymer composites
Zahur Ullah, Lukasz Kaczmarczyk, Chris J. Pearce
A three-dimensional multi-scale computational homogenisation framework is developed for the prediction of nonlinear micro/meso-mechanical response of the fibre-reinforced polymer (…
Multi-scale computational homogenisation to predict the long-term durability of composite structures
Zahur Ullah, Lukasz Kaczmarczyk, Sotirios Grammatikos +2
A coupled hygro-thermo-mechanical computational model is proposed for fibre reinforced polymers, formulated within the framework of Computational Homogenisation (CH). At each macro…
Energy consistent framework for continuously evolving 3D crack propagation
Lukasz Kaczmarczyk, Zahur Ullah, Chris J. Pearce
This paper presents a formulation for brittle fracture in 3D elastic solids within the context of configurational mechanics. The local form of the first law of thermodynamics provi…
Mesh Improvement Methodology for 3D Volumes with non-Planar Surfaces
Alan Kelly, Lukasz Kaczmarczyk, Chris Pearce
A mesh improvement methodology is pre- sented which aims to improve the quality of the worst elements in 3D meshes with non-planar surfaces which cannot be improved using tradition…
A Galerkin least-square stabilisation technique for hyperelastic biphasic soft tissue
Julien Vignollet, Chris J. Pearce, Lukasz Kaczmarczyk
An hyperelastic biphasic model is presented. For slow-draining problems (permeability less than 1\times10-2 mm4 N-1 s-1), numerical instabilities in the form of non-physical oscill…
A micromechanics-enhanced finite element formulation for modelling heterogeneous materials
J. Novák, Ł. Kaczmarczyk, P. Grassl +2
In the analysis of composite materials with heterogeneous microstructures, full resolution of the heterogeneities using classical numerical approaches can be computationally prohib…