![]() Furthermore, layer-wise models are needed for accurate results near the free-edge zone. ![]() The results demonstrate that the stress recovery technique effectively calculates stresses and improves the accuracy of equivalent single-layer models. The out-of-plane stresses are compared with references from the existing literature for most cases. Laminated plates and shells subjected to uniaxial tension are considered. The latter is used to refine structural models locally and reduce computational overheads. Lagrange polynomials are implemented in the equivalent single-layer, layer-wise, and variable kinematics approaches. The Carrera Unified Formulation and the finite element method are adopted to derive the governing equations. 1940 40:59–70.This paper compares out-of-plane stresses evaluated with Hooke’s Law and the stress recovery technique, focusing on the free edges of composite plates and shells. Stress-strain data for vulcanised rubber under various types of deformation. A definition of a stable inelastic material. Springer handbook of materials measurement methods. ![]() ![]() New York, NY: Dover Publications 1944.Ĭzichos H. A treatise on the mathematical theory of elasticity. Stress–strain data for vulcanized rubber under various types of deformation. A finite element formulation for nonlinear incompressible elastic and inelastic analysis. Mixed finite element methods-reduced and selective integration techniques: a unification of concept. Finite element methods for constrained problems in elasticity. On the automatic solution of nonlinear finite element equations. Linear and nonlinear stability analysis of cylindrical shells. Lectures on three-dimensional elasticity. Englewood Cliffs, NJ: Prentice-Hall 1969.Ĭiarlet PG. Introduction to the mechanics of a continuous medium. Englewood Cliffs, NJ: Prentice-Hall 1996. Finite element procedures in engineering analysis. Nonlinear finite elements for continua and structures. This process is experimental and the keywords may be updated as the learning algorithm improves.īelytschko T, Moran B, Liu WK. These keywords were added by machine and not by the authors. Section 9 presents curve-fitting methods to identify hyperelastic material parameters using test data. In hyperelastic materials, it is important to identify material parameters. Section 3.8 summarizes the usage of commercial finite element analysis programs to solve nonlinear elastic problems, particularly for hyperelastic materials. 3.6, followed by a MATLAB code for a hyperelastic material model in Sect. The continuum form of the nonlinear variational equation is discretized in Sect. Different ways of representing incompressibility of elastic materials are discussed. 3.4, followed by hyperelastic materials in Sect. Critical load analysis is introduced in Sect. In particular, it is shown that these two formulations are mathematically identical but different in computer implementation and interpreting material behaviors. Section 3.3 shows two different formulations in representing large deformation problems: total Lagrangian and updated Lagrangian. 3.2 discusses stress and strain measures under large deformation. Since nonlinear elastic material normally experience a large deformation, Sect. ![]() Chapter 3 presents theoretical and numerical formulations of nonlinear elastic materials. ![]()
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