Elasticplastic analysis of ocenter cracks in cylindrical. Onat, the theory of elasticplastic deformation at finite strain with induced anisotropy modeled as combined isotropickinematic hardening, metal forming report, rensselaer polytechnic institute, troy, new york, 1986. Abstractthe finite elementboundary element alternating method is extended to the analysis of a crack in a bimaterial test specimen. Elasticplastic analysis of a collinear array of cracks on. A crack perpendicular to, and initially with the tip on, a bimaterial interface is studied. Analysis suitable tsplines are used for the modeling and analyzing of cracks in bimaterial interfaces within the framework of an extended isogeometric analysis xiga. In previous analyses 1, 2, and fullfield computational investigations, we found that the near tip plastic fields of cracks on a bimaterial interface do not have a separable form of the hrr type. The stress fields near the tip of a crack in the interfaces between viscoelastic solids were determined by knauss 5. The modified gursons constitutive equation and the element vanish technique are used to model the final formation of an open crack. There, problem considered is the plane strain interfacial crack.
The crack tip enrichment functions of bimaterial interface cracks are implemented to reproduce singular fields, and the signed distance functions are used to treat the crack. Effect of material nonlinearity of adherents on the behaviour of interface cracks. Perspectives on cracks at bimaterial interfaces 21 overview of results for linear elastic mcdin a number of solutions for the stress and displacement fields for cracks lying along bimaterial interfaces have been obtained for isotropic materials by, for example, williams. Elasticplastic stress investigation for an arcshaped interface crack in composite material. Elasticplastic and asymptotic fields of interface cracks. Part iistructure of small scale yielding fields, in press journal of applied mechanics 1989.
The total plastic dissipation per cycle is obtained by 2d elasticplastic finite element analysis of a stationary crack in a general mixedmode specimen geometry under constant amplitude loading. Mechanisms of bimaterial attachment at the interface of. Nov 30, 2017 the main difference in the two is the point on stress strain curve of steel, that you wish to load your steel to. Nevertheless they appear to be nearly separable in an annular region well within the plastic zone. An example of crack growth in the presence of both a hard and soft inclusion is given below. The change in neartip stress field in small scale yielding ssy for cracks located at an interface between two materials with different plastic work hardening is investigated. Analysis of an interface crack of arbitrary shape in a.
Read 3d elastic plastic finite element analysis of interface cracks under mixed mode load, international journal of pressure vessels and piping on deepdyve, the largest online rental service for scholarly research with thousands of academic publications available at your fingertips. Crack analysis in bimaterial interfaces using tspline based. The influence of plastic deformation on interface fracture. The use of sif evaluation based on a singular stress field equation is found to. Received june 1, 1988 abstract in previous studies, we found that although the neartip fields of cracks on a bimaterial i nterface do not have a. The elasticplastic fields near bimaterial crack tip under small scale yielding conditions were investigated by shih and asaro 3, and zywicz and parks 4. The paper presents an exact analytic solution for a class of elastic plastic models with damage evolution.
Based on the internal variable theory of thermodynamics, a continuum interface constitutive relation between interface traction and interface. Read elastic plastic analysis of a crack parallel to the interface, engineering fracture mechanics on deepdyve, the largest online rental service for scholarly research with thousands of academic publications available at your fingertips. Plasticity aspects, in proceedings of the actascripta metallurgica conference on bonding, structure and mechanical properties of metalceramic interfaces, 1989. Elastic plastic analysis of crack on bimaterial interface. To our knowledge there are no solutions for the fields of interface cracks in elasticplastic materials and this makes it difficult to analyze the legion of interface fracture phenomena alluded to above. The purpose of this paper is to investigate the influence of plastic deformation on the mixed mode fracture toughness of an interface crack. Interfaces with structure, materials science and engineering a, vol. An analyticalnumerical alternating method for elastic plastic analysis of cracks crack line then coefficients b, are the solution of the linear algebraic system no \ml ml 9 in the publication of atluri and nishioka 1986 it is proposed to perform integration instead of. Numerical assessments of cracks in elastic plastic materials lecture notes in applied and computational mechanics yuan, huang on. The xfem is an extension to the classical finite element method fem, using the concepts of partition of unity and meshless approaches. Comparison of elastic and elastic plastic structural analyses for cooled turbine blade airfoils albert kaufman lewis research ce rz ter cleveland, ohio p nasa national aeronautics and space administration scientific and technical information office 1980.
An account of a pragmatic engineering methodology, which allows the fracture resistance of interfaces to be measured and utilized, has appeared in a proceeding edited by ruhle, evans, ashby and hirth 1 and in a comprehensive article by hutchinson and suo 2. Each crack begins from a scribed scratch at the lower section of the image and is guided through straight tracks to each letter. The extended displacement discontinuity boundary integraldifferential equation method is developed for the analysis of an interface crack of arbitrary shape in a threedimensional 3d, transversely isotropic magnetoelectrothermoelastic bimaterial. Cut and paste procedure for constructing solution to interface crack driven by residual stress. Nikolic and others published dynamic crack growth along the elasticplastic bimaterial interface find, read and cite all the research you need on researchgate. An approach to analysis of dynamic crack growth at. Different orientations of the crack according to the bimaterials interface were examined such as cracks parallel and perpendicular to the interface and inclined cracks. A finite strain elasticplastic finite element analysis is performed on a crack which lies on an interface between two dissimilar materials. Shih c f and asaro r j 1988 elasticplastic analysis of cracks on bimaterial interfaces. In part i we found that although the near tip fields of cracks on bimaterial interfaces do not have a separable form of the hrr type, they appear to be nearly separable in an annular zone within the plastic. Elasticplastic analysis of a crack growing perpendicularly to a bimaterial interface delfin, p. In this paper are presented solutions for the stress and displacement fields for a crack that lies along the interface of an elastic and elastic plastic material and for a crack between two.
The effect of residual stresses on bimaterial structure with initial crack located near interface m. Mechanisms of bimaterial attachment at the interface of tendon to bone. Goel, shihho chao encyclopedia of life support systems eolss central to the idea of all plastic analysis methods is an implicit assumption that the structure being analyzed is made from ductile materials. Fernando cordisco simulia solution consultant, boeing on. Materials science and engineering, ai07 1989 145157 145 elasticplastic analysis of a collinear array of cracks on a bimaterial i nterface c. Abstractn exact asymptotic analysis for a crack lying on the interface of an elastic plastic material and a linear elastic material is presented in this paper. A crack very close to a bimaterial interface this paper presents the plane elastostatics analysis of a semiinfnite crack perpendic ular to a perfectly bonded bimaterial interface. Universality of periodicity as revealed from interlayer. Both cases of the crack approaching the interface and penetrating the interface are addressed. Elasticplastic analysis of cracks on bimaterial interfaces. Elasticplastic analysis of interaction between an interface and crack in bimaterials. For bimaterial cases, the j ic of a crack between two elasticplastic materials which have identical elastic properties with different yield strength is lower than that of a crack between an elasticplastic material and a rigid substrate. Part ismall scale yielding fullfield numerical solutions for a crack which lies along the interface of an elasticplastic medium and a rigid substrate are presented. The use of sif evaluation based on a singular stress field equation is found to be inadequate for the problems considered.
The effect of residual stresses on bimaterial structure. An elasticplastic finite element analysis of a blunting. Elasticplastic analysis of crack on bimaterial interface. Marshall space flight center huntsville, alabama 35812. The behaviour is analyzed by the determination of the j integral and the plastic zone at the crack tip using the finiteelement methods. Plastic dissipation energy in mixedmode fatigue crack. Mode iii crack propagation in a bimaterial plane driven by a channel of small line defects. Slit and elliptical cracks under uniaxial tensile loading, international journal of fracture, vol. The materials on both sides of the interface are elastic perfectly. Boundary element analysis of interface cracks in dissimilar orthotropic materials using a path independent contour integral f.
The crack is perpendicular to, and terminates at, the interface between two dissimilar materials. It seems that the difference in yield strength between the dissimilar materials has more significant influence on the void nucleation and crack growth than the difference in. Partition of unity enrichment for bimaterial interface cracks. The difference in hardening is termed hardening mismatch, and is. Pdf constraint effect on the near tip stress fields due. Elastic plastic analysis of cracks on bimaterial interfaces.
Dynamic crack growth along the elasticplastic bimaterial. The paper presents a preliminary experimental investigation of cracktip deformation fields near quasistatically and dynamically growing cracks in bimaterial interfaces. Shih division of engineering, brown university, providence, ri 02912. Elasticplastic analysis of ocenter cracks in cylindrical structures robert firmaturea, sharif rahmanb, aibm printing systems company, boulder, co 80301, usa bdepartment of mechanical engineering, the university of iowa, iowa city, ia 52242, usa. Odowd division of engineering and applied sciences, california institute of technology, pasadena, ca 91125 usa c. Division of engineering, brown university, providence, ri 02912. Pdf constraint effect on the near tip stress fields due to.
Materials science and engineering, a162 1993 175192 175 elasticplastic analysis of cracks on bimaterial interfaces. Elasticplastic jintegral solutions for surface cracks in. The neartip asymptotic stress fields around an interface crack between an elasticperfectly plastic solid and a rigid substrate are members of a family parameterized by. Smith, comparison of the criteria for mixed mode brittle fracture based on the preinstability stressstrain field, part i. Comparison of elastic and elasticplastic structural analyses. An analyticalnumerical alternating method for elastic. An improvement of a new technique for modelling cracks in the finite element framework is presented. What is the main difference between elastic design and. Quasistatic and dynamic crack growth along bimaterial. Elasticplastic asymptotic fields for cracks on bimaterial. Partition of unity enrichment for bimaterial interface cracks 1077 2831 to the analysis of cracks that lie at the interface of two elastically homogeneous isotropic materials.
Shih division of engineering, brown university, providence, r. Elasticplastic analysis of interaction between an interface. Plastic dissipation energy in mixedmode fatigue crack growth. Asaro division of engineering, brown university, providence, r102912 u. The elastic plastic fields near bimaterial crack tip under small scale yielding conditions were investigated by shih and asaro 3, and zywicz and parks 4. Asaro, elasticplastic analysis of cracks on bimaterial interfaces.
Major advances have been made in the mechanics of interface fracture. A new family of threesector slipline solutions is found in addition to the existing twosector field and. Fullfield numerical solutions for a crack which lies along the interface of an elasticplastic medium and a rigid substrate are presented. Analysis of bimaterial interface cracks within the con. Qualitative behaviour of elasticplastic solutions for a. Aliabadi wessex institute of technology, as hurst lodge, ashurst. Electroelastic stress analysis for a zenerstroh crack at.
The results of this thesis are of interest in soldering, welding, coating. Crack growth on elasticplastic bimaterial interfaces. Finite element study of an interface crack between an. The finite element method is used to model the finitesize specimen without the crack. Gursons constitutive equation for porous plastic materials is used in order to take into account the effect of the. Jul 21, 2018 in order to predict crack growth, it is necessary to predict the direction and magnitude of crack growth at each iteration. Structral engineering and geomechanics plastic versus elastic design of steel structures sutat leelataviwat, subhash c. A finite element calculation based on finite strain theory is carried out to simulate crack growth on bimaterial interfaces under the assumption of small scale yielding and plane strain. Asaro rj, odowd np, shih cf, 1993, elastic plastic analysis of cracks on bimaterial interfaces.
A detailed description of the numerical implementation of the xfem for 2d crack modelling in isotropic media and for a crack normal to a bimaterial interface is given. Pdf elasticplastic analysis of crack on bimaterial interface. By considering the material gradients near the tip of the interface crack, the inadmissible oscillating behavior of the interface is removed. Read elasticplastic analysis of a crack parallel to the interface, engineering fracture mechanics on deepdyve, the largest online rental service for scholarly research with thousands of academic publications available at your fingertips.
Fischer3,6,d 1 faculty of technology and metallurgy, university of belgrade, 1 belgrade, serbia 2 erich schmid institute of materials science, austrian academy of sci. A threepointbend bimaterial specimen with a relatively large stiffness mismatch between the two materials is studied. Effect of material nonlinearity of adherents on the. Finite element calculation based on finite strain theory is carried out to simulate the crack growth on bimaterial interfaces under the assumption of small scale yielding and plane strain condition. Read electroelastic stress analysis for a zenerstroh crack at the metalpiezoelectric bimaterial interface, international journal of solids and structures on deepdyve, the largest online rental service for scholarly research with thousands of academic publications available at your fingertips. Oct 07, 2017 fem simulation for elasticplastic analysis cae. We present design maps in which the sinusoidal aspect ratio arises as a natural design variable that can be manipulated to increase the resistance to crack propagation in bimaterial interfaces. Wang division of engineering, brown university, providence, rhode island 02912, u. Mixedmode interfacial fracture mechanics springer for. Pan department of mechanical engineering and applied mechanics. This technique allows the entire crack to be represented independently of the mesh, and so remeshing is not necessary to model crack growth.
A bimaterial brazillian disc with a central interface crack is selected as the model for study as different mode mixities could be easily simulated by changing the crack orientation angle. Mixedmode iii crack initiation direction for elasticplastic materials based on cracktip plastic zone. In ultimate limit state you may choose to restrict your steel to be only loaded to elastic limit, but in reality the steel can be loa. A new theory of fatigue crack growth in ductile solids has recently been proposed based on the total plastic energy dissipation per cycle ahead of the crack. The boundary value problem consists of a planar deformation comprising the simultaneous shearing and expansion of a hollow cylindrical specimen of material and involves a bimaterial interface at which the materials stick to each other. The materials above and below the interface are assumed to be different from each other in yield stress or in strainhardening exponent. Elasticplastic stress investigation for an arcshaped.
In this paper are presented solutions for the stress and displacement fields for a crack that lies along the interface of an elastic and elastic plastic material and for a crack between two different elastic plastic materials. An asymptotic analysis is performed and crack growth proceeds straight ahead at constant remote load. Evaluation of stress field parameters for an interface. Wells marshall space flight center, huntsville, alabama april 20 national aeronautics and space administration is20 george c. Elastic plastic analysis of crack on bimaterial interface ruzica r. An approach to analysis of dynamic crack growth at bimaterial interface r. The modified gursons constitutive equation and the element vanish technique introduced by tvergaard et al.
Shih, crack tip and associated domain integrals from momentum and energy balance, eng. Evaluation of stress field parameters for an interface crack. Pdf elasticplastic analysis of crack on bimaterial. Elastic plastic jintegral solutions for surface cracks in tension using an interpolation methodology p. Numerical assessments of cracks in elasticplastic materials.
338 451 915 4 751 1114 861 960 612 958 905 1225 361 1308 365 87 164 1180 609 1072 1095 579 937 73 209 1488 892 1396 550 1435 147 491 984