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 equivalent properties. Compare and discuss the results. Whenever possible, compare with analytical 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.
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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
equivalent properties. Compare and discuss the results. Whenever possible, compare with analytical
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
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 5º/10 and the
RVE is subjected to deformation 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
equivalent properties. Compare and discuss the results. Whenever possible, compare with analytical
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 3 Aluno Nº 76781 Nome: Miguel Ruiz Calle Lucas
Aluno Nº 76964 Nome: João Miguel Andrade Tudela Martins
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 10º/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
equivalent properties. Compare and discuss the results. Whenever possible, compare with analytical
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 4 Aluno Nº 75441 Nome: José Augusto Mendes Ribeiro
Aluno Nº 77025 Nome: Nuno de Sousa Mendes Moita
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 15º/10 and the
RVE is subjected to deformation 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
equivalent properties. Compare and discuss the results. Whenever possible, compare with analytical
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 5 Aluno Nº 75195 Nome: João Maria de Afonseca Portela Roseira Muralha
Aluno Nº 76250 Nome: André Miguel Correia de Sousa
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 20º/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
equivalent properties. Compare and discuss the results. Whenever possible, compare with analytical
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 6 Aluno Nº 75687 Nome: Ana Catarina Garbacz Gomes
Aluno Nº 75873 Nome: Nuno Maria Mota Paiva de Andrada
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 25º/10 and the
RVE is subjected to deformation 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
equivalent properties. Compare and discuss the results. Whenever possible, compare with analytical
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 7 Aluno Nº 73330 Nome: Daniel Firnhaber Beckers
Aluno Nº 83377 Nome: Francisco Miguel Ribeiro Mangerona
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 30º/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
equivalent properties. Compare and discuss the results. Whenever possible, compare with analytical
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.