Range of the Applicability of the Wilkins Method to the Investigation of the Dynamic Stress-Strain State of Anisotropic Elastic Axisymmetric Shells

The exactness and stability of the Wilkins method in the investigation of the stress-strain state of axisymmetric anisotropic elastic shells, including thick-walled ones, have been studied for different values of artificial viscosity, pulse load rise and fall time, and different deformation process durations. A comparison of numerical calculations, performed by means of an application software package developed by V. A. Romashchenko on the basis of the Wilkins method, with experimental results, known numerical data, and with calculations using the computation kernel LS-DYNA 3D has been carried out.     

Computational Investigation of the Effect of Reinforcement Schemes and Angles on the Stress-Strain State and Strength of Composite Cylinders Under Axisymmetric Internal Explosion. Part 2. Calculation Results for Single- and Two-Layer Cylinders with Symmetrical Reinforcement of the Layers

Strength of Materials - The effect of reinforcement schemes and angles on the stress-strain state and strength of single- and two-layer wound composite cylinders of finite length with symmetrical...     

Computational Investigation of the Effect of Reinforcement Schemes and Angles on the Stress-Strain State and Strength of Composite Cylinders Under Axisymmetric Internal Explosion. Part 3. Results of Calculations for Two-Layer Cylinders with Orthogonal and Combined Reinforcement of the Layers

Strength of Materials - The effect of reinforcement patterns and angles on the stress-strain state and strength of two-layer wound composite cylinders of finite length with orthogonal reinforcement...     

Numerical studies on the dynamic behavior of multilayer thick-walled cylinders with helical orthotropy

The Wilkins two-dimensional algorithm-based method of numerical studies on the dynamic behavior of multilayer thick-walled cylindrical shells with different spiral reinforcement structures is developed. Test calculations are in good agreement with known solutions. The dynamic behavior of a two-layer cylinder with different spiral reinforcement structures is investigated.Translated from Problemy Prochnosti, No. 6, pp. 99–110, November–December, 2004     

Modification of the Wilkins Method to Study the Dynamics of Axisymmetric Thick-Wall Shells with a Spiral Orthotropy

Modification of the Wilkins method has been performed for numerical investigation into dynamics of thick-wall cylindrical shells with a spiral orthotropy. Test calculations are shown to agree well with the known solutions. New physical effects have been found, which are absent from isotropic and cylindrically orthotropic bodies.     

Computational Investigation of the Effect of Reinforcement Schemes and Angles on the Stress-Strain State and Strength of Composite Cylinders Under Axisymmetric Internal Explosion. Part 1. Effect of the Discretization Spacings of the Computational Domain on the Accuracy of Determination of Stress-Strain State and Strength

Strength of Materials - The effect of two-dimensional regular finite-difference mesh spacings on the accuracy of calculation of the dynamic axisymmetric stress-strain state and strength of hollow...     

The elastic theory dynamic problem for a transtropic multilayer sphere

The analytical solution is obtained in quadratures of the elastic theory dynamic centrally-symmetric boundary problems of the same class for multilayer transtropic spheres, the sonic speed in the radial direction of which tends to infinity. Convergence and accuracy of the derived solutions are analyzed. It is shown that the analytical solutions obtained can be used as the first approximation for the cases where the sonic speed in materials is finite.