materiais compósitos laminados computational project school … · computational project –...

G 1 Aluno Nº 73872 Nome: Inês Filipa de Castro Machado Sales D´Ávila

Aluno Nº 74325 Nome: Inês Catarino Pereira Sapata

Materiais Compósitos Laminados

Computational project – School year 2016/2017

Consider the composite laminated plate used in the experimental project. Assume that each lamina of the laminated plate

is reinforced by long fibers, with the same volume fraction as in the experimental project, and can be modeled with the

cubic RVE whose cross section is shown in the figure.

Figure 1

1. Compute the equivalent properties using the classical simple expressions of Micro-Mechanics.

2. Using a Finite element program, compute the equivalent material properties assuming that the elastic strain

energy stored in the RVE is the same as the energy stored in the equivalent material, when 0º/10 and the

RVE is subjected to stress boundary conditions

3. Using the same analysis, compute the equivalent material properties using the relation between average stress

and average strain.

4. For the same RVE compute the same properties using PREMAT software.

5. For the laminated plate and for the different sets of properties, using a finite element code obtain:

a. The static solution for the same load situations as the experimental work. Compare the obtained results

with the experimental ones, both in deformation, stress and strain aspects. Find the maximum loading

that you can apply for any of the cases, using the same criteria as in the experimental work. Comment

and discuss the obtained results.

b. For the same loading cases, do a natural frequency analysis (first 10 frequencies) for each set of

equivalent properties. Compare and discuss the results. Whenever possible, compare with analytical

solutions.

c. For the same loading cases, do a buckling load analysis (first 10 buckling loads) for each set of


solutions.

Submit a report (2 students per group) with a maximum of 12 pages, where you show the formulations of the problems

to solve, figures and/or tables of all issues that you think are relevant to address. Comment all results, and present some

conclusions and a reference list. The first page of the report must be this page.

G 2 Aluno Nº 72924 Nome: Ana Mónica Carvalho Fidalgo

Aluno Nº 73769 Nome: Maria Margarida Malveiro Bento das Dores Cheira






Figure 1




RVE is subjected to deformation boundary conditions


and average strain.









solutions.



solutions.




G 3 Aluno Nº 76781 Nome: Miguel Ruiz Calle Lucas

Aluno Nº 76964 Nome: João Miguel Andrade Tudela Martins






Figure 1






and average strain.









solutions.



solutions.




G 4 Aluno Nº 75441 Nome: José Augusto Mendes Ribeiro

Aluno Nº 77025 Nome: Nuno de Sousa Mendes Moita






Figure 1






and average strain.









solutions.



solutions.




G 5 Aluno Nº 75195 Nome: João Maria de Afonseca Portela Roseira Muralha

Aluno Nº 76250 Nome: André Miguel Correia de Sousa






Figure 1






and average strain.









solutions.



solutions.




G 6 Aluno Nº 75687 Nome: Ana Catarina Garbacz Gomes

Aluno Nº 75873 Nome: Nuno Maria Mota Paiva de Andrada






Figure 1






and average strain.









solutions.



solutions.




G 7 Aluno Nº 73330 Nome: Daniel Firnhaber Beckers

Aluno Nº 83377 Nome: Francisco Miguel Ribeiro Mangerona






Figure 1






and average strain.









solutions.



solutions.




G 8 Aluno Nº 75709 Nome: Mariana Lopes Monho Nogueira Freire

Aluno Nº 75862 Nome: Marta Fernandes Pereira Bruxelas






Figure 1






and average strain.









solutions.



solutions.




G 9 Aluno Nº 75183 Nome: José Carlos Felismino Maia Carregado

Aluno Nº 75752 Nome: Diogo Ralha Portugal Bentes






Figure 1






and average strain.









solutions.



solutions.




G 10 Aluno Nº 72987 Nome: João Carlos Marques Correia

Aluno Nº 73144 Nome: Vasco Henrique Reis Franco






Figure 1






and average strain.









solutions.



solutions.




G 11 Aluno Nº 75497 Nome: José Pedro de Sousa Ferreira

Aluno Nº 76265 Nome: Carlos Filipe Lopes Ramos






Figure 1






and average strain.









solutions.



solutions.




G 12 Aluno Nº 73590 Nome: Ivo Miguel Delgado Rocha

Aluno Nº 76110 Nome: Beatriz Almeida Ferreira






Figure 1






and average strain.









solutions.



solutions.




G 13 Aluno Nº 73525 Nome: Pedro Miguel dos Santos Fernandes Marreiro

Aluno Nº 75463 Nome: Pedro Dinis Caseiro Jorge






Figure 1






and average strain.









solutions.



solutions.




G 14 Aluno Nº 85732 Nome: Javier Sánchez Bayona

Aluno Nº 85805 Nome: Ángela Lendinez Torres






Figure 1






and average strain.









solutions.



solutions.




G 15 Aluno Nº 85713 Nome: Simon Cartenet

Aluno Nº 85714 Nome: Francois Malestroit






Figure 1






and average strain.









solutions.



solutions.




G 16 Aluno Nº 85702 Nome: Giuseppe Landolfo

Aluno Nº 85744 Nome: Dario Aresta






Figure 1






and average strain.









solutions.



solutions.




G 17 Aluno Nº 85715 Nome: Jury Mura

Aluno Nº 85716 Nome: Emiliano Manfredonia






Figure 1






and average strain.









solutions.



solutions.




G 18 Aluno Nº 65224 Nome: Lourenço Rocheta de Almeida Fernandes

Aluno Nº 82122 Nome: Rui Filipe Tavares de Assis






Figure 1






and average strain.









solutions.



solutions.




G 19 Aluno Nº 75393 Nome: José Miguel Matos de Araújo

Aluno Nº 75542 Nome: Marcelo António Borralho da Silveira






Figure 1



energy stored in the RVE is the same as the energy stored in the equivalent material, when -5º/10 and the



and average strain.









solutions.



solutions.




G 20 Aluno Nº 75194 Nome: Pedro Filipe Neves Ferreira Lobão da Cruz

Aluno Nº 75341 Nome: Ana Rita Afonso Rebelo






Figure 1






and average strain.









solutions.



solutions.




G 21 Aluno Nº 75345 Nome: Marta Duarte Lopes Gonçalves

Aluno Nº 75445 Nome: João Tiago Pinheiro Fernandes






Figure 1






and average strain.









solutions.



solutions.




G 22 Aluno Nº 68562 Nome: Valter Romeu Vunge Cachinhama

Aluno Nº 69806 Nome: Mykola Zaikin






Figure 1






and average strain.









solutions.



solutions.




G 23 Aluno Nº 75510 Nome: Jorge Miguel Relvas Cordeiro

Aluno Nº 75929 Nome: Eduardo Rebordão Pires






Figure 1






and average strain.









solutions.



solutions.




G 24 Aluno Nº 69334 Nome: Rodrigo Gaspar Pinto Ramos Correia

Aluno Nº 70416 Nome: Gonçalo Miguel Ramalho Brás Pereira






Figure 1






and average strain.









solutions.



solutions.




G 25 Aluno Nº 72634 Nome: Mariana Raposo Oliveira

Aluno Nº 75360 Nome: João Pedro da Fonseca Matos Pragana






Figure 1






and average strain.









solutions.



solutions.




G 26 Aluno Nº 64962 Nome: Diogo Carvalho Rodrigues

Aluno Nº 73480 Nome: Luís Guilherme Figueira Franco






Figure 1






and average strain.









solutions.



solutions.




G 27 Aluno Nº 85802 Nome: Beatriz Fernández-Criado Manjón

Aluno Nº 85946 Nome: Marius Auflem






Figure 1






and average strain.









solutions.



solutions.




G 28 Aluno Nº 85936 Nome: Federico Chueca Azlor

Aluno Nº 86062 Nome: Marvin Javier Angeles Loredo






Figure 1






and average strain.









solutions.



solutions.




G 29 Aluno Nº 67187 Nome: David de Almeida Correia Rodrigues de Melo

Aluno Nº 73643 Nome: Márcio Daniel Rosa Silva






Figure 1






and average strain.









solutions.



solutions.




G 30 Aluno Nº 75886 Nome: Gonçalo da Veiga França Rocha e Castro

Aluno Nº 85730 Nome: Sergio Fontestad Gómez






Figure 1






and average strain.









solutions.



solutions.




G 31 Aluno Nº 73369 Nome: Carlos Francisco Libório Barreira

Aluno Nº 76325 Nome: Pedro Miguel Rodrigues da Costa Simões

Gonçalves






Figure 1






and average strain.









solutions.



solutions.




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