Elastic plastic analysis of cracks on bimaterial interfaces. Numerical assessments of cracks in elasticplastic materials. The behaviour is analyzed by the determination of the j integral and the plastic zone at the crack tip using the finiteelement methods. 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. Nikolic and others published dynamic crack growth along the elasticplastic bimaterial interface find, read and cite all the research you need on researchgate.
Division of engineering, brown university, providence, ri 02912. Pdf elasticplastic analysis of crack on bimaterial. Comparison of elastic and elasticplastic structural analyses. Materials science and engineering, a162 1993 175192 175 elasticplastic analysis of cracks on bimaterial interfaces. Odowd division of engineering and applied sciences, california institute of technology, pasadena, ca 91125 usa c. The xfem is an extension to the classical finite element method fem, using the concepts of partition of unity and meshless approaches. The stress fields near the tip of a crack in the interfaces between viscoelastic solids were determined by knauss 5. An elasticplastic finite element analysis of a blunting. Plasticity aspects, in proceedings of the actascripta metallurgica conference on bonding, structure and mechanical properties of metalceramic interfaces, 1989. The paper presents a preliminary experimental investigation of cracktip deformation fields near quasistatically and dynamically growing cracks in bimaterial interfaces. Mechanisms of bimaterial attachment at the interface of tendon to bone.
Dynamic crack growth along the elasticplastic bimaterial. Evaluation of stress field parameters for an interface crack. Qualitative behaviour of elasticplastic solutions for a. Shih division of engineering, brown university, providence, r. 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. Elasticplastic analysis of cracks on bimaterial interfaces. Elasticplastic analysis of crack on bimaterial interface.
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. An asymptotic analysis is performed and crack growth proceeds straight ahead at constant remote load. 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. An analyticalnumerical alternating method for elastic.
Major advances have been made in the mechanics of interface fracture. 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. 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. Plastic dissipation energy in mixedmode fatigue crack. Marshall space flight center huntsville, alabama 35812. Effect of material nonlinearity of adherents on the behaviour of interface cracks. Partition of unity enrichment for bimaterial interface cracks. Shih division of engineering, brown university, providence, ri 02912. Elasticplastic asymptotic fields for cracks on bimaterial. Universality of periodicity as revealed from interlayer. 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. 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. Evaluation of stress field parameters for an interface. Mechanisms of bimaterial attachment at the interface of.
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. 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. An example of crack growth in the presence of both a hard and soft inclusion is given below. Asaro, elasticplastic analysis of cracks on bimaterial interfaces. Elasticplastic analysis of a collinear array of cracks on. Abstractthe finite elementboundary element alternating method is extended to the analysis of a crack in a bimaterial test specimen. Elastic plastic jintegral solutions for surface cracks in tension using an interpolation methodology p. A finite strain elasticplastic finite element analysis is performed on a crack which lies on an 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. Plastic dissipation energy in mixedmode fatigue crack growth. The materials above and below the interface are assumed to be different from each other in yield stress or in strainhardening exponent. Elasticplastic analysis of ocenter cracks in cylindrical. Elasticplastic analysis of interaction between an interface and crack in bimaterials. 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.
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. Analysis suitable tsplines are used for the modeling and analyzing of cracks in bimaterial interfaces within the framework of an extended isogeometric analysis xiga. An approach to analysis of dynamic crack growth at bimaterial interface r. 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. Elasticplastic stress investigation for an arcshaped. 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.
The difference in hardening is termed hardening mismatch, and is. Analysis of bimaterial interface cracks within the con. A new family of threesector slipline solutions is found in addition to the existing twosector field and. Elasticplastic jintegral solutions for surface cracks in. Shih c f and asaro r j 1988 elasticplastic analysis of cracks on bimaterial interfaces. Each crack begins from a scribed scratch at the lower section of the image and is guided through straight tracks to each letter. 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. 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. There, problem considered is the plane strain interfacial crack.
Smith, comparison of the criteria for mixed mode brittle fracture based on the preinstability stressstrain field, part i. 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 growth on elasticplastic bimaterial interfaces. 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. Numerical assessments of cracks in elastic plastic materials lecture notes in applied and computational mechanics yuan, huang on. Slit and elliptical cracks under uniaxial tensile loading, international journal of fracture, vol. The effect of residual stresses on bimaterial structure with initial crack located near interface m.
Fernando cordisco simulia solution consultant, boeing on. Part iistructure of small scale yielding fields, in press journal of applied mechanics 1989. Pdf elasticplastic analysis of crack on bimaterial interface. Elasticplastic analysis of interaction between an interface. Structral engineering and geomechanics plastic versus elastic design of steel structures sutat leelataviwat, subhash c. Fullfield numerical solutions for a crack which lies along the interface of an elasticplastic medium and a rigid substrate are presented. The purpose of this paper is to investigate the influence of plastic deformation on the mixed mode fracture toughness of an interface crack. Materials science and engineering, ai07 1989 145157 145 elasticplastic analysis of a collinear array of cracks on a bimaterial i nterface c. 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. Nevertheless they appear to be nearly separable in an annular region well within the plastic zone. A threepointbend bimaterial specimen with a relatively large stiffness mismatch between the two materials is studied. Different orientations of the crack according to the bimaterials interface were examined such as cracks parallel and perpendicular to the interface and inclined cracks. Elasticplastic stress investigation for an arcshaped interface crack in composite material. The finite element method is used to model the finitesize specimen without the crack.
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. Based on the internal variable theory of thermodynamics, a continuum interface constitutive relation between interface traction and interface. 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. What is the main difference between elastic design and. An improvement of a new technique for modelling cracks in the finite element framework is presented. Finite element study of an interface crack between an. The results of this thesis are of interest in soldering, welding, coating. Pdf constraint effect on the near tip stress fields due. 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. Cut and paste procedure for constructing solution to interface crack driven by residual stress. 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.
The effect of residual stresses on bimaterial structure. The crack is perpendicular to, and terminates at, the interface between two dissimilar materials. Wang division of engineering, brown university, providence, rhode island 02912, u. Effect of material nonlinearity of adherents on the. Mode iii crack propagation in a bimaterial plane driven by a channel of small line defects. By considering the material gradients near the tip of the interface crack, the inadmissible oscillating behavior of the interface is removed. 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 elastic plastic fields near bimaterial crack tip under small scale yielding conditions were investigated by shih and asaro 3, and zywicz and parks 4. 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. The use of sif evaluation based on a singular stress field equation is found to. The modified gursons constitutive equation and the element vanish technique introduced by tvergaard et al.
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. Aliabadi wessex institute of technology, as hurst lodge, ashurst. Elastic plastic analysis of crack on bimaterial interface ruzica r. Mixedmode iii crack initiation direction for elasticplastic materials based on cracktip plastic zone. Analysis of an interface crack of arbitrary shape in a. Wells marshall space flight center, huntsville, alabama april 20 national aeronautics and space administration is20 george c. Jul 21, 2018 in order to predict crack growth, it is necessary to predict the direction and magnitude of crack growth at each iteration. Elasticplastic and asymptotic fields of interface cracks. Oct 07, 2017 fem simulation for elasticplastic analysis cae. Elastic plastic analysis of crack on bimaterial interface. 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.
An approach to analysis of dynamic crack growth at. The use of sif evaluation based on a singular stress field equation is found to be inadequate for the problems considered. Mixedmode interfacial fracture mechanics springer for. 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 paper presents an exact analytic solution for a class of elastic plastic models with damage evolution. This technique allows the entire crack to be represented independently of the mesh, and so remeshing is not necessary to model crack growth. Boundary element analysis of interface cracks in dissimilar orthotropic materials using a path independent contour integral f. Gursons constitutive equation for porous plastic materials is used in order to take into account the effect of the. The influence of plastic deformation on interface fracture. Asaro division of engineering, brown university, providence, r102912 u. Quasistatic and dynamic crack growth along bimaterial. Pdf constraint effect on the near tip stress fields due to. The elasticplastic fields near bimaterial crack tip under small scale yielding conditions were investigated by shih and asaro 3, and zywicz and parks 4.
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. 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. 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. Elasticplastic analysis of a crack growing perpendicularly to a bimaterial interface delfin, p. 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.
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. Shih, crack tip and associated domain integrals from momentum and energy balance, eng. The materials on both sides of the interface are elastic perfectly. Asaro rj, odowd np, shih cf, 1993, elastic plastic analysis of cracks on bimaterial interfaces. Electroelastic stress analysis for a zenerstroh crack at. Plastic dissipation energy in mixedmode fatigue crack growth on ductile bimaterial interfaces. Crack analysis in bimaterial interfaces using tspline based. 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. Pan department of mechanical engineering and applied mechanics. A crack perpendicular to, and initially with the tip on, a bimaterial interface is studied. Interfaces with structure, materials science and engineering a, vol. 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. 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.
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