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2D Elasticity

Validation of XdTd's 2D elasticity solver against classical analytical solutions.


1.1 Thick-Walled Cylinder Under Internal Pressure

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The Lame problem: a cylinder with inner radius 200 mm, outer radius 400 mm, subjected to internal pressure of 100 MPa.


1.2 Rotating Disc

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A solid circular disc subjected to centrifugal body forces due to rotation. The analytical solution provides closed-form expressions for radial and hoop stresses.


1.3 Cantilever Beam Under Gravity

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A cantilever beam clamped at one end and deflecting under self-weight.