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PL
Artykuł przedstawia krótki przegląd działalności naukowej pracowników Instytutu Metod Komputerowych w Inżynierii Lądowej Politechniki Krakowskiej w latach 1992-2006 w zakresie metod obliczeniowych w mechanice materiałów i konstrukcji.
EN
The paper presents a short overview of the scientific activity at the Institute of Computer Methods in Civil Engineering, Cracow University of Technology, in years 1992-2006 in the field of computational methods in structural and material mechanics.
EN
A survey of three forms (strong, weak and variational) of mathematical models is presented using expressive diagrams [1,2]. The primary and intermediate variables, governing field equations, constraint equations and variables specified by boundary conditions are components of the graphic representation of various FE (finite element) formulations. The attention is focused on linearly elastic plate element QUAD for Mindlin–Reissner theory and shell elements EAS4-ANS, EAS7-ANS based on CBRST (Continuum Based Resultant Shell Theory). In both cases the mixed FE models with the EAS (enhanced assumed strain) and ANS (assumed natural strain) concepts are used.
3
Content available remote A survey of various FE models with conceptual diagrams for linear analysis
EN
In the paper a general survey of existing finite element (FE) models is presented using a conceptual description in diagram form, which was initiated in paper [1]. The analysis is focused on the description of FE models, which is uniform in its concept but specific for each FE type. All FE models are associated with certain variational principles (and their stationarity conditions) in their original or modified versions. The diagrams are used to visualize the equations which are satisfied inside an individual FE and on interelement boundaries. The use of conceptual diagrams is very convenient in the presentation of finite element method (FEM), it simplifies the understanding and teaching of this method.
PL
W pracy skonfrontowano trzy wariacyjne sformułowania dla napreżeniowo-przemieszczeniowych elementów skończonych, służących do analizy płaskiego stanu naprężenia. Podprogramy stworzone w środowisku MATLAB z użyciem pakietu CALFEM umożliwiły numeryczną analizę, w której zbadano zachowanie się modeli skończenie-elementowych z różnymi wariantami statycznych i kinematycznych warunków brzegowych.
EN
In this paper three variational formulations for stress-displacement finite elements for pianę stress ana-lysis arę compared. Finite element procedures have been implemented in the environment of MATLAB with its toolbox called CALFEM. The numerical analysis and examination of finite element models with yarious kinds of static and kinematic boundary conditions have been performed.
5
Content available remote Computational problems of FE-analysis of elastic-plastic surface structures
EN
The paper contains a review of problems connected with numerical analysis of elastic-plastic surface structures. Given is detailed information about finite elements as well as about the algorithm of physically non-linear analysis using the incremental-iterative Newton-Raphson method with the consistent modular matrix. The main goal of the paper is to compare numerical results obtained with elements based on either the volume or area approach to the formulation of physical relations. The presented examples are obtained with the use of computer code MANKA. They illustrate some numerical problems induced by elastic-plastic deformation of chosen types of plates.
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