232 Works

Cattaneo-Vernotte bio-heat transfer equation. Identificaton of external heat flux and relaxation time in domain of heated skin tissue

Bohdan MOCHNACKI & Marek PARUCH

The Role of the Bone Strength on the Cyst Growth in the Mandible

Justyna MIODOWSKA, Jan BIELSKI & Magdalena KROMKA-SZYDEK
Intracystic fluid pressure is discussed as a potentially important factor influencing a bone cyst growth. This process can develop in the course of months. However, the exact mechanism remains speculative. In this paper, we use an established mathematical model to evaluate whether the presence of pressurized fluid in bone cavities may result in cyst growth. A continuous function of bone density rate vs. mechanical stimulus is used. The numerical model of the mandible with the...

p-Extension of C0 continuous mixed finite elements for plane strain gradient elasticity

S. Markolefas, T.K. Papathanasiou & S.K. Georgantzinos
A mixed finite element formulation is developed for the general 2D plane strain, linear isotropic gradient elasticity problem. Form II of the dipolar strain gradient theory for micro-structured solids is considered. The main variables are the double stress tensor μ and the displacement field vector u. Standard C0−continuous, high polynomial order hierarchical basis functions are employed for the finite element solution spaces (p-extension). The formulation is numerically validated against the standard axial tension patch test...

Reconstruction of selected operating parameters of a thermoelectric device

Iwona NOWAK, Ryszard BUCHALIK & Grzegorz NOWAK

Preface to Computer Assisted Methods in Engineering and Science, 26

Tadeusz BURCZYŃSKI

Comparison Between Numerical Analysis and Actual Results for a Pull-Out Test

Jakub GONTARZ, Jerzy PODGÓRSKI, Józef JONAK, Marek KALITA & Michał SIEGMUND
The paper describes a computer analysis of the pull-out test used to determine the force needed to pull out a fragment of rock and the shape of this broken fragment. The analyzed material is sandstone and porphyry. The analysis included a comparison of different methods of propagation of cracks in the Abaqus computer program using the Finite Element Method. The work also contains a description of laboratory tests and analytical considerations.

Fast GPU simulation of reinforced concrete at the scale of reinforcement ribs by the discrete element method

B. Berisha, S. Hirsiger, H. Hippke, P. Hora, A. Mariaux, D. Leyvraz & C. Bezençon
Modeling of anisotropic behavior as well as hardening behavior based on micromechanical quantities in combination with a spectral solver is the focus of this study. A deep drawing steel as well as two different aluminum alloys are investigated. Prediction capabilities of the proposed modeling strategy are discussed and the benefits of the micromechanical model are highlighted. Further, a comparison of the crystal plasticity (CP) results with the well established macroscopic model YLD2000-2d underlines the importance...

A backup orientation system based on inverse problems technique

Aleksey V. NENAROKOMOV, Evgeny V. CHEBAKOV, Irina V. KRAINOVA, Dmitry L. REVIZNIKOV & Alena V. MORZHUKHINA

Use of the higher-order plate theory of I. N. Vekua type in problems of dynamics of heterogeneous plane waveguides

O.V. Egorova, L.N. Rabinskiy & S.I. Zhavoronok
The dynamics of elastic plane waveguides is studied on the basis of the extended formulation of the plate theory of N^th order. The plate model is based on the Lagrangian formalism of analytical dynamics combined with the dimensional reduction approach and the biorthogonal expansion of the spatial distribution of the displacement. The boundary conditions shifted from the faces onto the base plane are interpreted as constraints for the variational formulation of two-dimensional plate models. The...

Three-Dimensional Analysis of Laminated Plates with Functionally Graded Layers by Two-Dimensional Numerical Model

Piotr PLUCIŃSKI & Jan JAŚKOWIEC
This work presents a three-dimensional (3D) numerical analysis of multi-layered laminated plates in which selected layers may be made of functionally graded material (FGM), in which the Young’s modulus may change along the thickness as a consequence of a continuous and graded mixture of two materials. For the analysis, the method, known as FEM23, is applied, which uses a two-dimensional (2D) mesh, yet enables obtaining full 3D results for the layered structure. In FEM23, the...

Description of large deformations of continuum and shells and their visualisation with Mathematica

Ryszard WALENTYŃSKI

Image segmentation and classification with application to dietary assessment using BMI-calorie calculator

S. Jasmine MINIJA & W.R. Sam EMMANUEL

Three-phase parabolic inhomogeneities with internal uniform stresses in plane and anti-plane elasticity

X. Wang & P. Schiavone
We examine the in-plane and anti-plane stress states inside a parabolic inhomogeneity which is bonded to an infinite matrix through an intermediate coating. The interfaces of the three-phase parabolic inhomogeneity are two confocal parabolas. The corresponding boundary value problems are studied in the physical plane rather than in the image plane. A simple condition is found that ensures that the internal stress state inside the parabolic inhomogeneity is uniform and hydrostatic. Furthermore, this condition is...

Thermal buckling and free vibration of Euler–Bernoulli FG nanobeams based on the higher-order nonlocal straingradient theory

G. JANEVSKI, N. DESPENIĆ & I. PAVLOVIĆ
A size-dependent Euler–Bernoulli beam modelis derived within the framework of the higher-order nonlocal strain gradient theory. Nonlocal equations of motion are derived by applying Hamilton’s principle and solved withan analytical solution. The solution is obtained using the Navier solution procedure. In the case of simply supported boundary conditions, the analytical solutions of natural frequencies and critical buckling temperature for free vibration problems are obtained. The paper investigates the thermal effects on buckling and free vibrational...

In Memoriam – Professor Witold Gutkowski

Bartłomiej BŁACHOWSKI & Paweł HOŁOBUT

Mechanical characterization of millimetric agarose spheres using a resonant technique

J. Yescas, P. Mandal, J. Sinha, R. Snook, J. Hawkes, P. Moreno Garibaldi & R. Carrera-Espinoza
This paper presents a methodology for the mechanical characterization of agarose millimetric spheres using resonant principles. Detection of the modes of vibration was conducted using a low-cost experimental setup based on an electret microphone adapted with a thin latex elastic membrane for the sensing stage and a piezoelectric actuator driven by a conventional transformer for the excitation stage. The identification of vibration modes is supported through an ANSYS Finite Element model of the experimental setup....

Michell Structures within L-Shaped Domains

Karol BOŁBOTOWSKI, Tomasz LEWIŃSKI & Tomasz SOKÓŁ

Nanofluid flow and heat transfer of carbon nanotube and graphene platelette nanofluids in entrance region of microchannels

M.E. Fuller & J.T.C. Liu
Suspensions of nano-scale particles in liquids, dubbed nanofluids, are of great interest for heat transfer applications. Nanofluids potentially offer superior thermal conductivity to alternative, pure fluids and are of particular interest in applications where active cooling of power-dense systems is required. In this work, the thermophysical properties of carbon nanotube nanofluids (CNTNf) and those of graphene nanoplatelette nanofluids (GNPNf) as functions of particle volume fraction are deduced from published experiments. These properties are applied to...

Applications of Michell’s Theory in Design of High-Rise Buildings, Large-Scale Roofs and Long-Span Bridges

Cezary GRACZYKOWSKI & Tomasz LEWIŃSKI

Formulas for the slowness of Stoneley waves with sliding contact

P.T.H. Giang, P.C. Vĩnh & V.T.N. Anh
The main aim of this paper is to derive formulas for the slowness of Stoneley waves traveling along the sliding interface of two isotropic elastic half-spaces. These formulas have been obtained by employing the complex function method. From the derivation of them, it is shown that if a Stoneley wave exists, it is unique. Based on the obtained formulas, it is proved that a Stoneley wave is always possible for two isotropic elastic half-spaces with...

The Overview of Optimization Methods Applied to Truss-Z Modular System

Machi ZAWIDZKI

Integro-differential form of the first-order dual phase lag heat transfer equation and its numerical solution using the Control Volume Method

M. Ciesielski, B. Mochnacki & E. Majchrzak
The start point of the dual phase lag equation (DPLE) formulation is the generalized Fourier law in which two positive constants (the relaxation and thermalization times) appear. This type of equation can be used (among others) to describe the heat conduction processes proceeding in micro-scale. Depending on the number of components in the development of the generalized Fourier law into a power series, one can obtain both the first-order DPLE and the second-order one. In...

A quadrature-free Legendre polynomial approach for the fast modelling guided circumferential wave in anisotropic fractional order viscoelastic hollow cylinders

X. Zhang, S. Liang, S. Shao & J. Yu
Compared to the traditional integer order viscoelastic model, a fractional order derivative viscoelastic model is shown to be advantageous. The characteristics of guided circumferential waves in an anisotropic fractional order Kelvin–Voigt viscoelastic hollow cylinder are investigated by a quadrature-free Legendre polynomial approach combining the Weyl definition of fractional order derivatives. The presented approach can obtain dispersion solutions in a stable manner from an eigenvalue/eigenvector problem for the calculation of wavenumbers and displacement profiles of viscoelastic...

On Computational Solution of the Dynamic and Static Behaviour of a Coupled Thermoelastic Timoshenko Beam

Theddeus Tochukwu AKANO & Akintoye O. OYELADE
The Timoshenko beam theory caters for transverse shear deformations, which are more pronounced in short beams. Previous works were examined, and Hamilton’s principle was used in deriving the governing equation. This research considers two dimensions (2-D): heat and displacement response. A more comprehensive mathematical expression that incorporates this 2-D model on the vibration of a coupled Timoshenko thermoelastic beam and axial deformation effect is formulated. The significance of this model will be expressed through its...

Segmentation of Aggregate and Asphalt in Photographic Images of Pavements

Angela Marcela MEJÍA, Marco Aurelio ALZATE & Oscar Javier REYES-ORTIZ
Particle size distribution of aggregate in asphalt pavements is used for determining important characteristics like stiffness, durability, fatigue resistance, etc. Unfortunately, measuring this distribution requires a sieving process that cannot be done directly on the already mixed pavement. The use of digital image processing could facilitate this measurement, for which it is important to classify aggregate from asphalt in the image. This classification is difficult even for humans and much more for classical image segmentation...

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  • Data Paper
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Affiliations

  • Poznań University of Technology
    7
  • Tabor (Poland)
    5
  • Stellenbosch University
    4
  • Częstochowa University of Technology
    3
  • Military University Nueva Granada
    3
  • Phetchabun Rajabhat University
    2
  • AGH University of Science and Technology
    2
  • Cracow University of Technology
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  • Vellore Institute of Technology University
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  • University of Alberta
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