![]() This model results in a very low long-term elastic modulus (0.4955 MPa), so the material almost behaves as a viscoelastic fluid. The extensional relaxation function of the viscoelastic material is defined using a six-term Prony series: The mesh is finer toward the inner diameter of the cylinder, where the stresses are highest. The viscoelastic material is represented using 20 elements, while the case is modeled with a single element. The problem is, therefore, modeled with a single row of axisymmetric, second-order, reduced-integration elements (CAX8R). We assume plane strain, with no gradient of the solution, in the axial direction. The viscoelastic cylinder has an inner radius of 10 mm and an outer radius of 50 mm. ![]() The transient response of the structure is sought. The rocket's ignition is simulated by a transient internal pressure load acting at the inner diameter of the viscoelastic cylinder. ![]() The structure is a solid rocket motor, modeled as a long, hollow viscoelastic cylinder encased in a thin steel shell.
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