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Three-dimensional analysis of laminated plates with functionally graded layers by two-dimensional numerical model

Pluciński Piotr, Jaśkowiec Jan

Engineering Transactions

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2020

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Vol. 68, iss. 1

21--45

EN

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 layered structure may be a combination of thin and thick layers made of materials with significantly different properties. This paper presents two examples comparing the results to other numerical or analytical solutions. The examples confirm the correctness and flexibility of FEM23 for laminated plates with functionally graded layers.

2

Convergence Analysis of Finite Element Approach to Classical Approach for Analysis of Plates in Bending

Niyonyungu Ferdinand, Karangwa Jules

Advances in Science and Technology. Research Journal

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2019

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Vol. 13, no 4

170--180

EN

Classical approach is a popular method used in the analysis of structures including bending plates, but these plates can have highly irregular geometry and contain holes or may be subjected to loading irregularity. Hence, the analysis is further complicated and the classical approaches are not valid. Thus, the Finite Element Method is used to control the accuracy and it is needed for more difficult problems. In the present study Fourier series theory as classical approach and finite element method of analysis were discussed and the numerical examples of a simply supported and fixed supported square steel plate were used to compare them. The results obtained with general public software LISA that uses FEM was plotted according to the element types, both quadrangular and triangular. Their convergence was verified with the values obtained from classical approach to validate the results of FEM from LISA. The results showed the conformity with the existing theories that the greater discretization the more the reality is approached. The convergence error of 5% was taken as the maximum for the element types and meshes to be used for highly sophisticated plate systems. The ratios of element size to the size of the whole square plate to be used for general cases of square plate dimensions were established.

3

Swarm optimization of stiffeners locations in 2-D structures

Szczepanik M., Burczyński T.

Bulletin of the Polish Academy of Sciences. Technical Sciences

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2012

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Vol. 60, nr 2

241-246

EN

The paper is devoted to the application of the swarm methods and the finite element method to optimization of the stiffeners location in the 2-D structures (plane stress, bending plates and shells). The structures are optimized for the stress and displacement criteria. The numerical examples demonstrate that the method based on the swarm computation is an effective technique for solving the computer aided optimal design. The additional comparisons of the effectiveness of the particle swarm optimizer (PSO) and evolutionary algorithms (EA) are presented.

4

Numeryczne aspekty analizy uszkodzeń konstrukcji w warunkach pełzania

Bodnar A., Chrzanowski M., Lebica M., Nowak K.

Zeszyty Naukowe Politechniki Świętokrzyskiej. Mechanika

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2003

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Z. 78

19-26

PL

Silnie nieliniowe równania opisujące początkowo-brzegowe zagadnienia rozwoju uszkodzeń w konstrukcjach pracujących w warukach pełzania są przyczyną braku zamkniętych rowiązań analitycznych i koniecznością poszukiwania rozwiązań na drodze numerycznej. Praca dotyczy doświadczeń autorów związanych z zastosowaniem komercyjnego systemu elementów skończonych ABAQUS do analizy rozwoju pola uszkodzeń w pełzających płytach pracujących w warunkach pełzania. Zagadnienie rozwiązywane jest w ramach Kontynualnej Mechaniki Uszkodzeń, w której skalarna miara uszkodzeń sprzęgnięta jest z odkształceniami pełzania. Przedmiotem badania jest wyznaczenie miejsca i czasu pojawienia sie pierwszego makroskopowego defektu w analizowanych płytach.

EN

The paper deals with the problem of damage growth in plates under creep conditions. Material properties are assumed to obey a non-stationary creep theory coupled with damage. The main interest was focused implementation of the computer system ABAQUS to analyse damage development prior to the first crack appearance.