solve for nodal displacement of 2d plate in tension in matlab

To solve for the nodal displacement of a 2D plate in tension using MATLAB, you can follow these steps:

1. Define the plate geometry, material properties, and boundary conditions.
2. Generate the finite element model of the plate.
3. Assemble the global stiffness matrix.
4. Apply the boundary conditions to the stiffness matrix and load vector.
5. Solve the system of equations to obtain the nodal displacements.

Here is a simple example code snippet that demonstrates how you can perform these steps in MATLAB:

main.m
% Define plate properties
E = 210e9; % Young's modulus in Pa
nu = 0.3; % Poisson's ratio
t = 0.01; % plate thickness in meters

% Define plate dimensions
L = 1; % length in meters
W = 1; % width in meters

% Create mesh
nx = 10; % number of elements in x-direction
ny = 10; % number of elements in y-direction

% Generate finite element model
model = createPlateModel(L, W, t, nx, ny);

% Assemble global stiffness matrix
K = assembleStiffnessMatrix(model, E, nu);

% Apply boundary conditions
[fixedDofs, freeDofs] = applyBoundaryConditions(model);

% Solve for nodal displacements using direct solver
U = solveDisplacements(K, model, fixedDofs);

% Display nodal displacements
disp(U);
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In this code snippet, you would need to implement the functions createPlateModel, assembleStiffnessMatrix, applyBoundaryConditions, and solveDisplacements to set up and solve the finite element model of the 2D plate.

This is a high-level overview and you may need to implement additional details depending on the specific requirements of your problem.