Search results for "Cauchy elastic material"

showing 3 items of 3 documents

Constitutive equations for no-tension materials

1988

For a material which is incapable of sustaining tensile stresses (no-tension material, NTM), the local stability postulate is utilized in order to derive the appropriate equations which relate, within general 3D situations, cracking strain states and stress states to each other. Several alternative forms of these equations are discussed, either in terms of stress and strain components, or in terms of stress and strain invariants. The results obtained improve known results regarding the NTM's.

Stress (mechanics)Cauchy elastic materialStrain (chemistry)Mechanics of MaterialsTension (physics)Mechanical EngineeringConstitutive equationUltimate tensile strengthStress–strain curveLevy–Mises equationsMechanicsCondensed Matter PhysicsMathematicsMeccanica
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Nonlinear finite element analysis of no-tension masonry structures

1995

A numerical approach for structural analysis of masonry walls in plane stress conditions is presented. The assumption of a perfectly no-tension material (NTM) constitutive model, whose relevant equations are in the form of classical rate-independent associated flow laws of elastoplastic material, allows one to adopt numerical procedures commonly used in computational plasticity. An accuracy analysis on the integration algorithm employed in the solution of constitutive relations has been carried out. The results obtained for some relevant case-studies and their comparison with data, available in the literature show the effectiveness of the proposed method.

Tension (physics)business.industryComputer scienceMechanical EngineeringConstitutive equationStructural engineeringPlasticityMasonryCondensed Matter PhysicsNonlinear finite element analysisCauchy elastic materialFlow (mathematics)Mechanics of MaterialsStress conditionsbusinessMeccanica
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Testing of a constitutive equation with free volume dependent relaxation spectrum

1979

A model of non-linear viscoelasticity with relaxation times dependent upon free volume is here proposed. The free volume is related to the isotropic part of the stress tensor by means of a simple differential equation. The model predictions are compared with a large amount of experimental results taken on polymeric melts or concentrated solutions and reported in the literature. The single parameter of the model is determined, within each set of data, by fitting of the viscosity curve. A satisfactory agreement is obtained with data taken under both elongation and shear for which also the relaxation behavior after single and double strain steps is considered.

ViscosityCauchy elastic materialMaterials scienceCauchy stress tensorDifferential equationConstitutive equationIsotropyRelaxation (physics)ThermodynamicsGeneral Materials ScienceCondensed Matter PhysicsViscoelasticityMathematical physicsRheologica Acta
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