Author
Ewa Majchrzak
Other affiliations: Częstochowa University of Technology
Bio: Ewa Majchrzak is an academic researcher from Silesian University of Technology. The author has contributed to research in topics: Boundary element method & Heat transfer. The author has an hindex of 22, co-authored 198 publications receiving 1424 citations. Previous affiliations of Ewa Majchrzak include Częstochowa University of Technology.
Papers published on a yearly basis
Papers
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TL;DR: The inverse problems consisting in the simultaneous estimation of unknown thermophysical and/or geometrical parameters of the tumor region are solved and the evolutionary algorithm coupled with the multiple reciprocity boundary element method has been applied.
72 citations
TL;DR: In this paper, the applications of the BEM for numerical simulation of different foundry processes are presented, in particular, the algorithms as a composition of the bEM for parabolic equations with certain procedures taking into account the course of solidification process.
Abstract: A typical task from the range of thermal theory of foundry consists in the computation of solidification and cooling processes in the system casting-mould environment. From the technological point of view one can consider the following processes: • solidification of casting in moulding sand • solidification of casting in permanent mould • solidification of ingot in ingot mould • continuous casting process The physical features characterizing each of the above-mentioned technologies as well as a sort of casting material (pure metals, alloys, etc.) determine the adequate mathematical description of thermal processes, the admissible simplifications, the significance of certain technological parameters, etc. In this paper the applications of the BEM for numerical simulation of different foundry processes will be presented, in particular, the algorithms as a composition of the BEM for parabolic equations with certain procedures taking into account the course of solidification process will be discussed.
60 citations
TL;DR: In this article, the problem of heat transfer in the 3D domain of heating tissue is described by dual-phase lag equation supplemented by adequate boundary and initial conditions, and the general boundary element method is proposed.
Abstract: Heat transfer processes proceeding in the 3D domain of heating tissue are discussed. The problem is described by dual-phase lag equation supplemented by adequate boundary and initial conditions. To solve the problem the general boundary element method is proposed. The examples of computations are presented in the final part of the paper. The efficiency and exactness of the algorithm proposed are discussed and the conclusions are also formulated.
46 citations
TL;DR: In this article, a numerical analysis of thermal processes proceeding in a soft tissue subjected to a laser irradiation is presented, where the transient bioheat transfer in the 3D domain considered is described by the generalized dual-phase lag equation.
42 citations
TL;DR: In this paper, the problem of biological tissue freezing is discussed and the model of the freezing process is based on the introduction of a parameter called "substitute thermal capacity" to the dual-phase lag equation.
39 citations
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Book•
12 May 1997
TL;DR: In this paper, the basic concepts of Nonlinear Quasi-Static Problems at Regular States are discussed. And the concepts of Shape Sensitivity and Post-Buckling are discussed as well.
Abstract: PRELIMINARIES. Motivation: Sensitivity and Large-Scale Systems. Nonlinear Solid Mechanics: Continuous and Semi-Discretized Formulation. Concepts of Sensitivity Analysis for Linear Systems.THE SENSITIVITY OF NONLINEAR SYSTEMS. The Basic Concepts of Nonlinear Quasi-Static Problems at Regular States. Inelastic Systems. Shape Sensitivity. Buckling and Post-Buckling. Nonlinear Dynamics. Metal Forming Using the Flow Approach. Nonlinear Thermal Systems. Appendices. References. Index. Glossary of Symbols.
242 citations
TL;DR: Tarzia et al. as discussed by the authors presented a bibliografía on moving and free boundary problems for the heatdiffusion equation, particularly regarding the Stefan and related problems, which contains 5869 titles referring to 588 scientific journals, 122 books, 88 symposia, 30 collections, 59 thesis and 247 technical reports.
Abstract: We present a bibliography on moving and free boundary problems for the heatdiffusion equation, particularly regarding the Stefan and related problems. It contains 5869 titles referring to 588 scientific Journals, 122 books, 88 symposia (having at least 3 contributions on the subject), 30 collections, 59 thesis and 247 technical reports. It tries to give a comprehensive account of the western existing mathematicalphysical-engineering literature on this research field. RESUMEN Se presenta una bibliografía sobre problemas de frontera móvil y libre para la ecuación del calor-difusión, en particular sobre el problema de Stefan y problemas relacionados. Contiene 5869 títulos distribuidos en 588 revistas científicas, 122 libros, 88 simposios (teniendo al menos 3 contribuciones en el tema), 30 colecciones, 59 tesis y 247 informes técnicos o prepublicaciones. Se da un informe amplio de la bibliografía matemática, física y de las ingenierías existente en occidente sobre este tema de investigación. Primary Mathematics Subject Classification Number (*): 35R35, 80A22 Secondary Mathematics Subject Classification Number (*): 35B40, 35C05, 35C15, 35Kxx, 35R30, 46N20, 49J20, 65Mxx, 65Nxx, 76R50, 76S05, 76T05, 93C20. (*) Following the 1991 Mathematics Subject Classification compiled by Mathematical Reviews and Zentralblatt fur Mathematik. Primary key words: Enthalpy formulation or method, Filtration, Free boundary problems, Freezing, Melting, Moving boundary problems, Mushy region, Phase-change problem, Solidification, Stefan problem. Secondary key words: Continuous mechanics, Diffusion process, Functional analysis, Heat conduction, Mathematical methods, Numerical methods, Partial differential equations, Variational inequalities, Weak solutions. Palabras claves primarias: Método o formulación en entalpía, Filtración, Problemas de frontera libre, Congelación, Derretimiento, Problemas de frontera móvil, Región pastosa, Problema de cambio de fase, Solidificación, Problema de Stefan. Palabras claves secundarias: Mecánica del continuo, Procesos difusivos, Análisis funcional, Conducción del calor, Métodos matemáticos, Métodos numéricos, Ecuaciones diferenciales a derivadas parciales, Inecuaciones variacionales, Soluciones débiles. El manuscrito fue recibido y aceptado en octubre de 1999. D.A. Tarzia, A bibliography on FBP. The Stefan problem, MAT Serie A, # 2 (2000). 3
224 citations
01 Jan 1986
TL;DR: In this paper, a new approach to the modeling of the equiaxed solidification of dendritic alloys is proposed, which is based on the assumption that microstructure formation is primarily controlled by solute diffusion (i.e. there is complete thermal mixing at the scale of one grain), and that the dendrite interface is an iso-concentrate at all times.
Abstract: Abstract A new approach to the modeling of the equiaxed solidification of dendritic alloys is proposed. It is assumed that, in metallic alloys, microstructure formation is primarily controlled by solute diffusion (i.e. there is complete “thermal mixing” at the scale of one grain), and that the dendrite interface is an iso-concentrate at all times. The evolution of one dendritic grain is therefore modelled as follows: (i) complete mixing of solute within the interdendritic liquid; (ii) no back-diffusion in the solid; (iii) spherical solute diffusion in the liquid around the grain envelope; (iv) overall solute balance; (v) overall thermal balance; (vi) growth velocity, υg, of dendrite tips governed by the kinetic equation derived for the isolated dendrite case. By using an explicit finite difference scheme to solve these coupled equations, the concentration profiles, cooling curve, fraction of solid and evolution of dendritic grain envelope can be calculated. The intitial conditions used to start the calculation are provided by two parameters related to nucleation: the initial undercooling and the density of gains. The effect of nucleation and thermal conditions on equiaxed growth are studied. The theoretical predictions of recalescence and of the distribution of an interdendritic eutectic phase are in good agreement with experimental observations.
197 citations
30 Jun 2015
TL;DR: In this paper, the authors describe light-tissue interactions themselves that caused by tissue dispersion, scattering, and absorption properties, including light reflection and refraction, absorption, elastic, and quasi-elastic scattering.
Abstract: This is the second section of the review-tutorial paper describing fundamentals of tissue optics and photonics. As the first section of the paper was mostly devoted to description of biological tissue structures and their specificity related to interactions with light [1], this section 3 describes light-tissue interactions themselves that caused by tissue dispersion, scattering, and absorption properties, including light reflection and refraction, absorption, elastic, and quasi-elastic scattering. The major tissue absorbers and modes of elastic scattering, including Rayleigh and Mie scattering, will be presented.
148 citations
TL;DR: The current work reviews the progress that has been made in using thermal imaging to detect breast cancer over the past three decades and identifies aspects that need further refinement for it to become a reliable tool to diagnose breast cancer.
137 citations