Showing papers on "von Mises yield criterion published in 1987"
TL;DR: In this paper, the von Mises criterion for small strain analysis is used for plane stress with mixed hardening, and the elastic predictor-radial return algorithm and a consistent tangent operator satisfy the requirements for a stable and accurate numerical procedure.
93 citations
TL;DR: In this paper, the Azzi-Tsai criterion has been used to evaluate the applicability of the maximum stress tensor failure criterion and to account for coupling effects in various stress components.
61 citations
TL;DR: In this paper, the internal time theory for small deformation deviatoric plasticity is extended to the case of finite elastoplasticity, which leads to rate-type constitutive equations similar to those in the small deformations theory.
60 citations
TL;DR: In this paper, a cylindrical circumferentially notched and fatigue cracked specimen for estimating KIc finite element studies carried out are discussed with specific attention to the comparison between the results obtained to that obtained experimentally.
59 citations
TL;DR: The results showed that the Drücker-Prager criterion is a more suitable criterion for describing failure of composite resins due to multi-axial stress states than are the Von Mises criterion and the modified Von Mise criterion.
Abstract: In previous work (Peters and Poort, 1983), the stress distribution in axisymmetric models of restored teeth was analyzed by finite element analysis (FEA). To compare the tri-axial stress state at different sites, they calculated the Von Mises equivalent stress and used it as an indication for weak sites. However, the use of Von Mises' theory for material failure requires that the compressive and tensile strengths be equal, whereas for composite resin the compressive strength values are, on the average, eight times larger than the tensile strength values. The objective of this study was to investigate the applicability of a modified Von Mises and the Drucker-Prager criterion to describe mechanical failure of composite resin. In these criteria, the difference between compressive and tensile strength is accounted for. The stress criteria applied to an uni-axial tensile stress state are compared with those applied to a tri-axial tensile stress state. The uni-axial state is obtained in a Rectangular Bar (RB) specimen and the tri-axial state in a Single-edge Notched Bend (SENB) specimen with a chevron notch at midspan. Both types of specimens, made of light-cured composite, were fractured in a three-point bend test. The size of the specimens was limited to 16 mm x 2 mm x 2 mm (span, 12 mm). Load-deflection curves were recorded and used for linear elastic FEA. The results showed that the Drucker-Prager criterion is a more suitable criterion for describing failure of composite resins due to multi-axial stress states than are the Von Mises criterion and the modified Von Mises criterion.
49 citations
TL;DR: In this article, the stress-strain rate relation for rigid plastic materials of the Drucker-Prager type under the assumption of the associated flow rule was derived, and it is shown that the dilatancy angle influences the bearing capacity of the soil structure as well.
36 citations
TL;DR: In this article, a new hypoelastic constitutive model for an isotropic elastic solid in finite deformation is developed, which is shown to produce solutions that are independent of the choice of objective stress rate.
35 citations
TL;DR: In this article, a method for determining the rolling load that produced optimum fatigue strength improvement in deep-rolled specimens was presented, based on the surface stresses calculated using Hertzian theory and von Mises distortion energy failure criterion.
29 citations
TL;DR: In this paper, an alternative scheme for the integration of incremental plasticity constitutive equations is presented and discussed, based on a linear inequality theory approach and exploits the idea of the "a posteriori" local linearization of the yield surface.
Abstract: An alternative scheme for the integration of incremental plasticity constitutive equations is presented and discussed. The method is based on a linear inequality theory approach and exploits the idea of the “a posteriori” local linearization of the yield surface. Results of both the flow theory of plasticity and the deformation theory can be obtained with a predetermined maximum violation of both the yield condition and the flow rule. Numerical results are shown, and compared to analytical solutions as well as to the results of other methods for the simple case of the von Mises yield function.
26 citations
TL;DR: In this paper, a general three-dimensional failure criterion for plain concrete is proposed, which is formulated in terms of three normalized stress invariants and includes material parameters which may be obtained from experimental data.
26 citations
TL;DR: In this paper, the initial plastic deformation behavior of zirconium alloy fuel cladding was described quantitatively by the deformation system of single crystal of α-zirconsium, and a model was proposed to simulate the yield behavior of polycrystalline material.
Abstract: Initial plastic deformation behavior of zirconium alloy fuel cladding was described quantitatively by the deformation system of single crystal of α-zirconium, and a model was proposed to simulate the yield behavior of polycrystalline material. Based on the model, effects of crystallographic texture and stress state on the plastic deformation of the cladding were evaluated. Conclusions obtained from this investigation are: (1) The proposed model shows good agreement with the von Mises' yield criteria for a material with isotropic properties. (2) Plastic anisotropy of the cladding decreases when neutron irradiation affects prism slip more strongly than the other deformation systems. (3) Dominant deformation systems for axial tension or internal pressurization of the cladding are predicted to be prism slip or tensile twin, respectively, when the stress state of the cladding reaches the yield condition.
TL;DR: In this paper, the Von Mises stresses have been determined throughout the crystal and the local effective resolved shear stress leading to dislocation generation and movement was determined by subtracting reported values of yield stress and critical resolved Shear stress from the maximum resolved Shears stress, where high dislocation densities occur in the central region and near the outside surface of the crystal in agreement with reported observations of etch pit density distributions in GaAs.
TL;DR: In this article, a Lagrangian formulation is introduced which, for the case of simple shear produces monotonically increasing stress-strain relationships, and the associated flow rule used here preserves the normality rule in the second Piola-Kirchhoff stress space and is equivalent to that of the Cauchy stress space.
TL;DR: In this article, the effectivc-stress-function algorithm for general 2D and 3D thermoelastic-plaslic and creep analysis is specialized to the stress and strain conditions of shell and beam structures.
01 Jan 1987
TL;DR: In this paper, a corrected version of the proof is given, which contains some errors and has been largely ignored, and the corrected version is given in this paper. But it is worth noting that Reeds (1976) argued that this could have been obtained simply as an application of the delta-method, using the tool of compactly differentiating von Mises functionals with respect to the empirical distribution function Fn.
Abstract: Asymptotic normality of M- or maximum likelihood type estimators was established in a classic paper by Huber (1967). Reeds (1976) argued that this could have been obtained simply as an application of the delta-method, using the tool of compactly differentiating von Mises functionals with respect to the empirical distribution function Fn. His proof however contains some errors and has been largely ignored. A corrected version of the proof is given.
TL;DR: In this paper, finite element solutions for the local buckling behaviour of C-shaped lipped channel cold-formed sections, with and without a large web opening, subjected to concentric axial load are presented.
TL;DR: In this article, a nonlinear finite element model that is suitable for the static analysis of shells of revolution with local plasticity is developed, which consists of three different types of shell elements: rotational, general, and transitional.
Abstract: A nonlinear finite element model that is suitable for the static analysis of shells of revolution with local plasticity is developed. Actually, shells of revolution always exhibit local deviations, like a cutout, a junction, and/or an imperfection. The stress concentration caused around a local deviation may make the material plastic in the surrounding region. The analytical model consists of three different types of shell elements: rotational, general, and transitional. The rotational shell elements are used in the region where the shell is axisymmetrical, and the general shell elements are deployed in the region of the deviation. The transitional shell elements are inserted between the two distinctively different types of elements to achieve continuity of displacement fields. Only the general shell element possesses the material nonlinear properties to capture the localized plasticity. A simple description of plastic behavior based on elastic-plastic behavior, the Von Mises criterion, the Prandtl-Reuss flow rule, and a layered structure, developing plastification through the thickness of the general shell, is used. The stress components at appropriately chosen station points covering the entire volume of the element are stored during the computation. A check is made for initial yielding in the general shell elements at the end of each step of loading. The results of three numerical studies elucidate the localized nonlinear material behavior in a rotational shell structure. In the first example, an axisymmetric junction problem is studied to check the technique against published results. Then, in the last two examples, a cylindrical shell with a circumferential line crack and with a circular cutout are studied. Since the selection of the size of the substructure and the number of harmonics are very important for the localized plasticity problem in the rotational shell, detailed convergence studies are presented. It is shown that the local-global analysis is an attractive alternative to the entirely general element style analysis for axisymmetric shell structures with local imperfections.
10 Jun 1987
TL;DR: A method is described to use coarse digital camera data to calculate the shape parameters of a cylinder and an assumed form of the deformed shape is used to provide sub-pixel resolution.
Abstract: The deformation of a cylinder is non-homogeneous in many plastic deformation processes. Examples include bulging in upset forging or compression testing and necking in tensile testing. The deformed shape provides valuable information that can be used to monitor or control the process. Shape can be used to estimate the von Mises equivalent stress and strain, to estimate foldover and the frictional interface conditions in compression, and to predict and possibly avoid fracture. Shape measurements can also be used in a closed loop control system to maintain a constant strain rate during non-homogeneous deformation. In this paper, a method is described to use coarse digital camera data to calculate the shape parameters. An assumed form of the deformed shape is used to provide sub-pixel resolution. Since the method uses moments of the data, which are integrals, the method is insensitive to noise in the data. Because of its simplicity, the moment method is practical for real time computation and control.
TL;DR: In this paper, the applicability of a nonlinear finite element method for the determination of the static strength of tubular joints is examined, and the results are obtained by two different element procedures: three node flat shell element (Ilyushin yield criterion) and eight node isoparametric shell element(von Mises yield criterion).
Abstract: The applicability of a non‐linear finite element method for the determination of the static strength of tubular joints is examined. In order to establish static strength, non‐linear elasto‐plastic models are implemented. Techniques for automatically generating finite element meshes in stress analysis of tubular intersections are used. The analysis is carried out on a typical X‐joint under axial brace loads and the model represents only one‐eighth of the joint. The results are obtained by two different element procedures: three node flat shell element (Ilyushin yield criterion); eight node isoparametric shell element (von Mises yield criterion). The objective of this work is to discuss the modelling and computational aspects which are required for dealing with this elasto‐plastic analysis and to determine the necessary degree of refinement in order to obtain reliably the loads at which ultimate failure occurs.
TL;DR: In this article, sectional capacities of tubular members under the action of combined loads are determined by using various failure criteria, and the results are then compared with those obtained from a recent test for short tubular steel columns.
Abstract: Tubular members in offshore installations are often subjected to the simultaneous action of axial forces, bending moments, and hydrostatic pressure. Thus, the interactions of forces, moments, and external pressure must be considered in the design of these members. In this study, sectional capacities of tubular members under the action of combined loads are determined by using various failure criteria, and the results are then compared with those obtained from a recent test for short tubular steel columns. In examining the influence of hydrostatic pressure, cap-end forces are not included explicitly. For most short tubular steel members of dimensions typically used in offshore construction, the failure mechanism may be characterized by the yielding of the material, followed by a buckling in the plastic or strain-hardening region. Strengths of these members may be predicted by simple equations that are derived from either von Mises or Tresca yield criteria. However, when the members are subjected to relatively high hydrostatic pressure, elastic or inelastic buckling, caused by the presence of residual stresses, may occur before the yield stress is reached.
01 Jan 1987
TL;DR: In this paper, yield stress predictions of a nonlinear viscoelastic constitutive equation for amorphous polymer solids have been obtained and compared with the phenomenological von Mises yield criterion.
Abstract: Yield stress predictions of a nonlinear viscoelastic constitutive equation for amorphous polymer solids have been obtained and are compared with the phenomenological von Mises yield criterion. Linear viscoelasticity theory has been extended to include finite strains and a material timescale that depends on the instantaneous temperature, volume, and pressure. Results are presented for yield and the correct temperature and strain-rate dependence in a variety of multiaxial deformations. The present nonlinear viscoelastic constitutive equation can be formulated in terms of either a Cauchy or second Piola-Kirchhoff stress tensor, and in terms of either atmospheric or hydrostatic pressure.
TL;DR: In this paper, the Von Mises equivalent stress distribution is used to predict notched bar stress rupture behavior. But this method is not suitable for the case of semi-circular notched specimens.
Abstract: Methods of predicting notched bar stress rupture behaviour are reviewed. Two very different types of notched specimens are analysed using the finite element method; one being a circumferentially V-notched test piece, the other having two semi-circular notches in a plane section.A prediction based on the Von Mises equivalent stress distribution is proposed. Predictions using this method are compared with notched specimen test results in a commercially available titanium alloy, Ti5331s, tested at 600°C. The correlation is good for the semi-circular notched specimen and for the V-notched specimen at low stress, long life and can be improved at high stresses by making allowance for time independent plasticity and for the initial high rate of creep strain accumulation at the notch root.
TL;DR: In this article, the theoretical foundation for a finite element analysis of the response of a clamped aluminum cylinder subjected to a nuclear burst environment is outlined, including nonlinear strain-displacement relations as well as a linear isotropic hardening elastoplastic material law which obeys the von Mises yield criterion.
TL;DR: In this article, the effectiveness of the length by which a radial branch pipe extends within a spherical pressure vessel is discussed with reference to the plastic limit pressure of the vessel and the design rules of BS 5500.
Abstract: The effectiveness of the length by which a radial branch pipe extends within a spherical pressure vessel is discussed with reference to the plastic limit pressure of the vessel and the design rules of BS 5500. Lower bound limit pressures are calculated using a non-linear programming method, the stress resultants being expressed in polynomial form. The material was assumed to be rigid-plastic and to obey the von Mises yield criterion.
TL;DR: In this paper, the axisymmetric elastic-plastic torsion of a shaft of general shape subject to the Hencky consistency condition with the von Mises yield function is considered.
TL;DR: In this paper, the behavior of a von Mises elastic-perfectly plastic simply supported plate subjected to steady transverse pressure and cyclic linear radial temperature variation has been investigated using the finite element method.
TL;DR: In this paper, a finite element model employing the "viscoplastic flow rule" and the von Mises yield function was developed for frozen soil in the multiaxial stress state.