Difference schemes for numerical solutions of lagging models of heat conduction

Non-Fourier models of heat conduction are increasingly being considered in the modeling of microscale heat transfer in engineering and biomedical heat transfer problems. The dual-phase-lagging model, incorporating time lags in the heat flux and the temperature gradient, and some of its particular cases and approximations, result in heat conduction modeling equations in the form of delayed or hyperbolic partial differential equations. In this work, the application of difference schemes for the numerical solution of lagging models of heat conduction is considered. Numerical schemes for some DPL approximations are developed, characterizing their properties of convergence and stability. Examples of numerical computations are included.

A simple method to predict elastic settlements in foundations resting on two soils of differing deformability

This paper shows the analysis results obtained from more than 200 finite element method (FEM) models used to calculate the settlement of a foundation resting on two soils of differing deformability. The analysis considers such different parameters as the foundation geometry, the percentage of each soil in contact with the foundation base and the ratio of the soils’ elastic moduli. From the described analysis, it is concluded that the maximum settlement of the foundation, calculated by assuming that the foundation is completely resting on the most deformable soil, can be correlated with the settlement calculated by FEM models through a correction coefficient named “settlement reduction factor” (α). As a consequence, a novel expression is proposed for calculating the real settlement of a foundation resting on two soils of different deformability with maximum errors lower than 1.57%, as demonstrated by the statistical analysis carried out. A guide for the application of the proposed simple method is also explained in the paper. Finally, the proposed methodology has been validated using settlement data from an instrumented foundation, indicating that this is a simple, reliable and quick method which allows the computation of the maximum elastic settlement of a raft foundation, evaluates its suitability and optimises its selection process.

A Finite Element Numerical Algorithm for Modelling and Data Fitting in Complex Systems

Numerical modelling methodologies are important by their application to engineering and scientific problems, because there are processes where analytical mathematical expressions cannot be obtained to model them. When the only available information is a set of experimental values for the variables that determine the state of the system, the modelling problem is equivalent to determining the hyper-surface that best fits the data. This paper presents a methodology based on the Galerkin formulation of the finite elements method to obtain representations of relationships that are defined a priori, between a set of variables: y = z(x1, x2,...., xd). These representations are generated from the values of the variables in the experimental data. The approximation, piecewise, is an element of a Sobolev space and has derivatives defined in a general sense into this space. The using of this approach results in the need of inverting a linear system with a structure that allows a fast solver algorithm. The algorithm can be used in a variety of fields, being a multidisciplinary tool. The validity of the methodology is studied considering two real applications: a problem in hydrodynamics and a problem of engineering related to fluids, heat and transport in an energy generation plant. Also a test of the predictive capacity of the methodology is performed using a cross-validation method.

Fire resistance of wooden cellular slabs with rectangular perforations

This paper presents a numerical approach with finite element method in order to predict both the behaviour and the performance of the wooden slabs with rectangular perforations under fire exposure. These typical constructions have good sound absorption, thermal insulation and relevant architectonic features, they are used in many civil engineering applications. These slabs are normally installed at lower level in building constructions essentially due to an easy maintenance requisite. Depending on the installation requirement, the perforated wooden slabs could have an additional insulation material inside the cavities. The proposed numerical model could be applied to different design constructive slab solutions. For this purpose a 3D numerical simulation was conducted with particular attention to the wood thermal properties variation with temperature. The numerical results were compared with those obtained experimentally in laboratory, for two wooden slabs. The fire resistance (performance criteria related to the insulation (I) and integrity (E)) was evaluated, as well as the effect of rectangular perforations into the residual cross section of the slab. This study was conducted in accordance with European Standard EN 1365-2 and using a fire resistance furnace which complies the requirements of EN 1363-1 in the experimental test.

Caraterização e modelação do comportamento mecânico da resina fotopolimerizada V-Flash FTI-GN

A utilização de tecnologias de prototipagem em objetos e estruturas do dia-a-dia é cada vez maior. Porém, os componentes que é possível fabricar estão em geral associados a protótipos demonstrativos não funcionais. Para ultrapassar estas limitações têm vindo a ser desenvolvidos novos materiais, procurando a melhoria das suas características mecânicas. A presente dissertação insere-se no projeto Firend®, que se tem vindo a desenvolver numa parceria entre a Academia Militar e outras instituições como o Instituto Superior Técnico e procura avaliar a viabilidade da utilização da técnica de deposição de resina fotopolimerizável por ultra-violeta no fabrico de projéteis para o transporte especial de agentes extintores, procurando caracterizar o desempenho deste material em condições operativas simulativas do disparo real. A pesquisa bibliográfica da presente dissertação baseou-se numa breve introdução aos materiais poliméricos. O trabalho teórico consistiu na modelação numérica através do método dos elementos finitos do ensaio de compressão utilizando o programa Deform® e na respetiva validação do modelo através de comparação dos resultados das simulações com dados experimentais existentes na literatura da especialidade. O trabalho experimental fundamentou-se no fabrico e preparação de provetes através da tecnologia de impressão 3D, na descrição das ferramentas utilizadas e do plano experimental. No final verificou-se a fratura de todos os provetes ensaiados e uma grande dispersão dos resultados, conseguindo-se apenas retirar uma tensão de segurança que não deve ser ultrapassada. De acordo com o estudo realizado o material ensaiado demonstrou-se não ser apropriado para a aplicação pretendida e recomenda-se a avaliação de outros materiais igualmente utilizados pelas técnicas de prototipagem rápida, tais como uma mistura de uma resina polimérica com um outro material com características mecânicas mais adequadas.

Survey of fire modeling efforts with application to transportation vehicles. Final report.

Transportation Department, Secretary of Transportation, Washington, D.C.

Highway maintenance simulation model. Final report.

Louisiana Department of Transportation and Development, Research and Development Section, Baton Rouge

Automated highway systems precursor systems analyses interim results workshop. Conference proceedings.

Turner-Fairbank Highway Research Center, Office of Safety Research and Development, McLean, Va.

Finite element model of a small automobile impacting a rigid pole. Final report.

Federal Highway Administration, Office of Safety and Traffic Operations Research Development, McLean, Va.

Traffic safety demonstration program modeling system. Volume III: citizens band radio model. Final report.

National Highway Traffic Safety Administration, Washington, D.C.

Traffic safety demonstration program modeling system. Volume IV: appendices.

National Highway Traffic Safety Administration, Washington, D.C.

Corporate strategies of automotive manufacturers. Volume IV: adaptation of a computer simulation model of the industry. Final report.

National Highway Traffic Safety Administration, Washington, D.C.

Traffic safety demonstration program modeling system. Volume I: technical summary. Final report.

National Highway Traffic Safety Administration, Washington, D.C.

Maximum likelihood as an operational tool in socio-economic modeling: as outlined in a recent thesis of D. W. Peterson. Final report.

Transportation Department, Office of Systems Engineering, Washington, D.C.

Traffic safety demonstration program modeling system. Volume II: system manual. Final report.

National Highway Traffic Safety Administration, Washington, D.C.