Showing papers on "von Mises yield criterion published in 1994"
01 Apr 1994
TL;DR: In this article, the elastic problem for a heterogeneous material is formulated with the help of a homogeneous reference medium and written under the form of a periodic Lippman-Schwinger equation.
Abstract: This Note is devoted to a new iterative algorithm to compute the local and overall response of a composite from images of its (complex) microstructure. The elastic problem for a heterogeneous material is formulated with the help of a homogeneous reference medium and written under the form of a periodic Lippman-Schwinger equation. Using the fact that the Green's function of the pertinent operator is known explicitely in Fourier space, this equation is solved iteratively.The method is extended to the case where the individual constituents are elastic-plastic Von Mises materials with isotropic hardening
427 citations
TL;DR: In this paper, it was shown that amorphous metal alloys obey a Von Mises yield criterion, which has implications in determining the micromechanisms of plastic deformation in these materials.
Abstract: Mechanical tests have been performed on bulk amorphous metal alloys to determine their constitutive behavior. Based on the experimental results, it appears that amorphous metal alloys obey a Von Mises yield criterion. This result has implications in determining the micromechanisms of plastic deformation in these materials.
380 citations
TL;DR: In this paper, the dual plastic potentials were used to derive convenient formulas for calculating yield loci of rate insensitive anisotropic materials, where equipotential surfaces are obtained instead of yield surfaces.
98 citations
TL;DR: In this paper, a post processor is described which allows the calculation of the crack initiation conditions from the history of strain components taken as the output of a finite element calculation, based upon damage mechanics using coupled strain damage constitutive equations.
95 citations
TL;DR: In this paper, the von Mises criterion is applied to multiaxial stress fields, and a finite element implementation is proposed to evaluate the damage with a model of random fatigue.
Abstract: This paper extends the classical theory of random fatigue to multiaxial stress fields, using a quadratic criterion. An equivalent uniaxial random process is constructed by combining the power spectral densities of the normal and tangential stresses according to the von Mises criterion. This process, that we call the von Mises stress, is used to evaluate the damage with a uniaxial model of random fatigue. A finite element implementation is proposed. 17 refs.
79 citations
TL;DR: In this article, a polar coordinate representation of the yield surface in principal stress space is used to formulate constitutive equations for plane-stress plasticity of orthotropic sheets, and conditions for internal consistency of the model are derived.
74 citations
TL;DR: In this article, the effect of stress state on the time and strain to failure has been considered in terms of currently accepted models of cavity growth, and it is shown that the increasing contributions of compressive stress cause changes in cavity growth mechanisms which lead to increases in ductility.
Abstract: — The effect of stress state on the time and strain to failure has been considered in terms of currently accepted models of cavity growth. It is shown that the increasing contributions of compressive stress cause changes in cavity growth mechanisms which lead to increases in ductility. A tensile component of stress is necessary to provide the driving force for cavity growth by diffusion of vacancies and hence only strains in the presence of a tensile stress can lead to creep-dominated failure in creep-fatigue.
Equivalent stress functions for isochronous stress rupture have been derived in terms of the cavity growth models and their corresponding relationships for calculating damage in terms of strain fractions developed. It is shown that it is difficult to discriminate between the various models on the basis of available experimental data. However, the analysis allows data to be assessed within the framework of physically based mechanisms and suggests methods which lead to conservative lower bound estimates of endurance.
It is concluded that the shape of the isochronous creep rupture locus depends on the controlling process of cavity growth and that a detailed analysis of uniaxial creep ductility is necessary to obtain a complete description of the multiaxial behaviour. In many instances such an analysis will prove more valuable than simply performing creep tests over a limited range of stress states. Increasing contribution of principal stress to the failure process leads to a greater value for the equivalent stress in the presence of a compressive component compared with the von Mises equivalent value. However, the equivalent stress is reduced in the tensile quadrant of bi-axial stress. Hence the degree of conservatism arising from using the von Mises equivalent stress will vary with stress and may become slightly non-conservative. The relationship between equivalent stress functions for application in a time fraction assessment of creep and the calculation of creep damage by a strain fraction method has been demonstrated. Finally, guidance is given on how a limited data base of uniaxial rupture properties can be used to obtain a conservative estimate of behaviour under multiaxial loading.
62 citations
TL;DR: In this article, the authors analyzed the stress field arising in the single-fiber pull-out test within the framework of the linear theory of elasticity, and showed that the stress distribution in the vicinity of the fiber is strongly inhomogeneous and exhibits severe concentrations of shear and radia stresses at fiber entry and at the fiber end.
50 citations
TL;DR: In this article, the plane strain elastoplastic stress field around an interface crack in adhesively bonded joints deforming in shear was determined from a large strain, incremental plasticity finite element analysis.
48 citations
TL;DR: In this article, an iterative and incremental algorithm is presented for the design sensitivity analysis (DSA) of elastoplastic structures, where the yield time is considered to be a function of the design variables.
Abstract: An iterative and incremental algorithm is presented for the Design Sensitivity Analysis (DSA) of elastoplastic structures. Geometrical non-linearity is included in the formulation, and the structure may be subjected to a cyclic loading. The key concept is discussed using an elastoplastic truss. It is shown that the Design Sensitivity Coefficients (DSCs) are path-dependent and discontinuous at the time at which yielding takes place in a member (yield time). In the proposed algorithm, the yield time is considered to be a function of the design variables. In this way, the discontinuity in the DSCs at the material transition points can be overcome in a simple and routine way. Incremental response analysis and DSA are carried out simultaneously using the Newton–Raphson type iterative procedure. Since the proposed algorithm is completely consistent with the analysis procedure, it can be implemented into an existing code for structural analysis. Application to distributed parameter structures with kinematic and/or isotropic hardening is discussed using the von Mises yield condition and the elastic-predictor radial-return method. DSA is carried out for a ten-bar truss with a piecewise linear constitutive relation. It is shown that the DSCs found using the proposed method agree quite well with those calculated by the central difference method. Finally, an alternate method without any iteration for DSA is proposed and the results from the two methods are compared.
44 citations
TL;DR: In this article, a boundary element/finite element method (BEM/FEM) hybrid scheme was developed for dynamic analysis of elastoplastic structures under plane strain or plane stress conditions.
Abstract: A boundary element/finite element method (BEM/FEM) hybrid scheme in the time domain is developed for the dynamic analysis of elastoplastic structures under plane strain or plane stress conditions. The FEM employs eight-noded isoparametric quadrilateral elements and discretizes the boundary as well as the interior of that portion of the structure, which is expected to become plastic. The BEM employs three-noded qudratic boundary line elements and discretizes only the boundary portion of the structure, which is expected to stay elastic during the whole time history. The FEM part can take into account Tresca, Von Mises, Drucker-Prager and Mohr-Coulomb isotropic hardening plasticity models. The BEM and FEM domains of the structure are connected at their interface through equilibrium and compatibility. The applied loads can have any transient time variation. The solution procedure follows the step-by-step implicit time integration algorithm of Newmark and employs iterations at every time step. Numerical examples are presented to illustrate the proposed scheme and assess its advantages.
TL;DR: In this article, an axisymmetric model for the thermally induced stresses and strains in a deformable matrix continuous fiber-reinforced composite is developed, which allows for a temperature and strain-dependent matrix flow stress and is numerically implemented using a von Mises flow law.
Abstract: An axisymmetric model for the thermally induced stresses and strains in a deformable matrix continuous fiber-reinforced composite is developed. The model allows for a temperature- and strain-dependent matrix flow stress and is numerically implemented using a von Mises flow law. The model implementation permits the study of an arbitrary number of temperature cycles. This model is compared to a simple one-dimensional model that has been used in several pre-vious analyses. The models show good qualitative agreement, but there are important differ-ences, and the magnitude of the discrepancy depends sensitively on the properties of the composite. These models can be applied in analyzing experimentally measured strainvs tem-perature hysteresis loops to reveal thein situ mechanical properties of the deformable matrix. The models can also be applied to the design of continuous fiber-reinforced composites that will not suffer thermally induced cyclic-plastic deformation.
TL;DR: In this paper, the von Mises stress distributions in a hard coating and in elastic sliding contact are analyzed by the finite element method and a local yield map is introduced in relation to the yield strength ratio of the coating to the substrate and the ratio of coating thickness to the half-contact width.
TL;DR: In this paper, a covariant theory of finite elastoplasticity is developed in principal axes of a pair of deformation tensors for deformed lattice, whose reference and current configurations can be arbitrary space-curved surfaces.
TL;DR: An exact elasto-plastic analytical solution for a finitely deformed, internal-pressurized, thick-walled spherical shell made of elastic linear-hardening material is derived in this article.
TL;DR: In this paper, a 2-D axisymmetric finite element model and a 3-D solid finite element (SFE) model of a high pressure bolted flange joint were generated to investigate the stress behaviors.
TL;DR: A quadrilateral finite element formulation for modeling finite strain elasto-plastic deformation processes is presented in this article, which is based on Lee's multiplicative decomposition of the deformation gradient and on the hyperelastic expression of the associated Von Mises flow rule.
TL;DR: In this article, the authors studied the stress field around a rubber particle and a cavitated particle in a nylon/rubber blend using an analytical and a finite element approach, focusing on the influence of the mechanical properties of the dispersed phase and the applied stress state.
Abstract: The stress field around a rubber particle and a cavitated particle in a nylon/rubber blend has been studied using an analytical and a finite element approach. Attention was paid to the influence of the mechanical properties of the dispersed phase and the applied stress state. The results show that the choice of the bulk modulus of the elastomer is crucial. It appeared that especially with a triaxial stress, the Von Mises stress increased strongly upon cavitation (a more than five-fold increase close to the particle) while the hydrostatic stress only increased slightly. Also, the stresses in particles in the neighbourhood of a cavity have been calculated. Stresses in particles lying in or close to the equatorial plane of the cavity were higher than stresses in the other particles
TL;DR: An exact elasto-plastic analytical solution for a finitely deformed plane strain wide plate of elastic linear-hardening material subjected to pure bending is derived in this article using a tensorial formulation.
TL;DR: In this article, a new criterion responsible for the first yielding of a material is presented: the Yeh-Stratton criterion (the Y-S criterion), which requires three yield strengths in simple tension, compression and torsion.
TL;DR: In this article, the authors presented an efficient algorithm based on the mathematical programming formula of the classical kinematic theorem of plasticity theory for limit analysis of rigid perefectly plastic body under the combined action of initial constant loadings and proportional loadings.
Abstract: This paper deals with the limit analysis of rigid perefectly plastic body under the combined action of initial constant loadings and proportional loadings. Using the von Mises yielding condition and the finite element technique, we present an efficient algorithm based on the mathematical programming formula of the classical kinematic theorem of plasticity theory. This algorithm includes an iterative procedure which produces a monotonically decrescent sequence converging to an upper bound of the real limit load. The results of some numerical examples are presented and show the stable convergency of the new algorithm.
TL;DR: In this paper, an asymptotic solution was obtained for the magnitude of the crack tip stress singularity ν and for the stress field associated with a semi-infinite crack impinging on an interface.
Abstract: This paper presents the results of an investigation of the effects of elastic mismatch on the size of the plastic zone at the tip of cracks terminating at a bimaterial interface. Using the Williams technique, an asymptotic solution is obtained for the magnitude of the crack tip stress singularity ν and for the stress field associated with a semi-infinite crack impinging on an interface. This solution, together with the Von Mises yield criterion, is used to estimate the location of the plastic zone boundary r 0 for various levels of the elastic mismatch, which are expressed in terms of the Dundurs constants. Results are expressed in terms of the non-dimensional quantity% MathType!MTEF!2!1!+-% feaafiart1ev1aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn% hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr% 4rNCHbGeaGak0Jf9crFfpeea0xh9v8qiW7rqqrFfpeea0xe9Lq-Jc9% vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x% fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaamOCamaaBa% aaleaacaaIWaaabeaakmaadmaabaWaaSaaaeaacaaIXaaabaWaaOaa% aeaacaaIYaGaeqiWdahaleqaaaaakmaalaaabaGaam4AamaaBaaale% aacaqGjbaabeaaaOqaaiabeo8aZnaaBaaaleaacaaIWaaabeaaaaaa% kiaawUfacaGLDbaadaahaaWcbeqaaiabgkHiTiaaigdacaGGVaGaeq% 4UdWgaaaaa!4832!\[r_0 \left[ {\frac{1}{{\sqrt {2\pi } }}\frac{{k_{\text{I}} }}{{\sigma _0 }}} \right]^{ - 1/\lambda }\]where k i is the stress intensity factor and σ 0 is the yield stress. These results, together with an integral equation solution for k i , are used to calculate the size of the plastic zone of a crack of length 2a loaded by uniform pressure. It is shown that the location of the boundary of the plastic zone depends strongly on the elastic mismatch.
TL;DR: In this paper, four different methods of calculating retained stresses are presented and compared, based on the following assumed yield criteria and deformation conditions: (1) Tresca's yield criterion, (2)Tresca yield criterion × 2 √3, (3) Mises' yield criterion in plane-stress, and (4) Mise' yield criteria in planestrain.
TL;DR: In this article, a thin-walled closed-end cylinder of isotropic, homogeneous and strain-hardening material is considered, and a generalized plane strain case in which the material obeys Von Mises yield criterion is studied.
Abstract: A thick-walled closed-end cylinder of isotropic, homogeneous and strain-hardening material is considered in this study. Loading is assumed to consist of a temperature gradient as well as an internal pressure. Unloading is completely elastic without considering a Bauschinger effect. A generalized plane strain case in which the material obeys Von Mises yield criterion is studied. Using the yield criterion, critical conditions for a wide range of loading combinations and thickness ratios are investigated. After the critical condition is established, load is increased beyond the critical values and calculations are made for plastic stresses and strains and progress of plastic zone using an incremental theory of plasticity. Residual stresses are obtained as the cylinder is unloaded from a 25 and 50-percent overstrained condition. Reverse yielding is not considered while the residual stresses at the onset of reverse yielding are cal culated. Loading function is assumed to follow the stress-strain curve of SUS 304 at a constant temperature of 400° C, which is selected from the experimental work of earlier researchers.
TL;DR: In this paper, the analysis of thin-walled beams of arbitrary open or closed cross section undergoing elastoplastic deformations is concerned with the problem of shear deformation.
Abstract: The present paper is concerned with the analysis of thin‐walled beams of arbitrary open or closed cross section undergoing elastoplastic deformations The general approach to the solution of the problem is based on the finite‐element method and incremental solution techniques A new model of describing the warping of a cross section that allows for shear deformation is applied Linear and elastoplastic stiffness matrices are given using Von Mises yield condition with isotropic hardening Numerical examples are given to demonstrate the accuracy and efficiency of the present method The numerical results show excellent agreement with experimental results A shear lag phenomenon, as special case of general analysis, is considered as well
01 Jan 1994
TL;DR: In this paper, the authors investigated the effect of various soil models for the prediction of surface settlement profiles due to the excavation of a single tunnel in soft ground using both analytical and numerical methods.
Abstract: The investigation of various soil models for the prediction of surface settlement profiles due to the excavation of a single tunnel in soft ground is described in this thesis. Both analytical and numerical methods are used. Emphasis is placed on the establishment of the width of the predicted settlement trough.
In the analytical analysis the ground is assumed to be an elastic halfspace. The problem is approached using two methods: (i) the application of a line load to model the uplift of soil caused by the excavation; (ii) the application of Sagaseta's method which models the soil deformation due to ground loss.
For the numerical analysis of the tunnelling problem, the finite element program OXFEM is used. Finite element modelling for the simulation of tunnelling is investigated. The mesh size used in the analysis found to have an important impact on the computed results. Parametric studies using linear elastic and elastic-plastic models are carried out. The effect of stress and strain amplitudes on the behaviour of soil is also investigated. The non-linear elastic model assumes a power law between the elastic moduli and the mean effective stress, and represents the increase of stiffness with increasing stress amplitudes in the elastic region of the soil. The effect of strain amplitudes on the behaviour of soil is considered using an elastic-plastic model with nested yield loci and an outer von Mises surface. Both models have been implemented in OXFEM, and parametric studies on tunnelling are carried out using both models. Comparison between the computed results and existing empirical values of the widths of settlement troughs were carried out.
01 Jan 1994
TL;DR: In this paper, the elastic-plastic buckling conditions for thin shallow cylindrical shell panels are presented, and an imperfect, reduced stiffness, model is shown to provide a conservative estimation to the elastoplastic lower bound pressures.
Abstract: Pressures providing elastic-plastic buckling conditions for thin shallow cylindrical shell panels are presented. Classical simple support boundary conditions have been adopted for the shells. First surface yield analysis using the elastic, fully non-linear, Ritz method and the von Mises hypothesis of plastic yield, has indicated broadly two types of failure: a mid-shell failure which is very sensitive to imperfections, and; a corner failure which can be closely approximated from a linear bending stress analysis. For mid-shell failure an imperfect, reduced stiffness, model is shown to provide a conservative estimation to the elasto-plastic lower bound pressures.
TL;DR: In this paper, a comparison of implementations of consistent tangent operators that arise in implicit integration of Von Mises and Drucker-Prager yield criteria is made, and the consequences of different formulations of the tangent operator on the numerical accuracy are assessed.
Abstract: A comparison is made of implementations of consistent tangent operators that arise in implicit integration of Von Mises and Drucker-Prager yield criteria. When computing the consistent tangent operator a matrix inversion has to be performed at integration point level. The consequences of different formulations of the consistent tangent operator on the numerical accuracy are assessed.
TL;DR: In this paper, a generalised trapezoidal rule is proposed and discussed in detail for the integration of the von Mises linear kinematic and isotropic hardening constitutive equations.
TL;DR: In this paper, a rate-dependent model for a material with inelastic behavior governed by a von Mises (J2) yield function is presented, which has the feature of being bounded by two plasticity models.