Papers by Keyword: Anisotropic Material

Abstract: A plane stress yield function which is described by multi-segment spline curve is proposed. This model is able to consider an arbitrary number of multi-axial stress states and its normal directions on the yield surface. Moreover by using interpolation based on cubic spline function, planar anisotropy is also described precisely. To show the applicability of the model, some evaluation of material properties and simulation results of hole expansion test are discussed.

Abstract: In this paper, the direct boundary element method in the Laplace domain is applied for the solution of three-dimensional transient dynamic problems of anisotropic elasticity in multi-connected domains. The formulation is based upon the integral representations of anisotropic dynamic fundamental solutions. As numerical example the problem of an anisotropic elastic prismatic solid with cubic cavity is investigated.

Abstract: A new plane stress yield function using the 3rd-degree spline curve is proposed for the anisotropic behavior of sheet metals. This yield function considers the evolution of anisotropy in terms of both r values and stresses. In order to demonstrate the applicability of the proposed yield function, hole expanding tests with mild steel and 6000 series aluminum alloy sheets were simulated.

Abstract: Stress-strain analysis of a solid-propellant rocket engine is the subject of this study. A chosen material is selected in order to ensure its maximum strength at minimum weight of the engine. The airframe of the rocket engine is a thin-walled structure, which consists of cylindrical and spherical parts. The dynamic behaviour analysis of this thin-walled structure under the action of impact loads is performed. The anisotropic material model and dynamic properties of the shell material are taken into consideration to solve the underlying problem.

Abstract: Aluminium sheet metal is nowadays used to fabricate lighter, crashworthy, fuel efficient and environment friendly vehicles. Ductile damage of sheet metals affects significantly the crashworthiness, as it naturally exhibits anisotropic behavior due to the grain orientation. Johnson-Cook (J-C) damage model is widely used in numerical simulation for assessing the failure modeling of crash component in particular at high strain rate. The Johnson-Cook material model available in literature is meant for isotropic material behavior which cannot be used directly for anisotropic behavior of materials. To characterize the plastic anisotropy of the rolled sheet, the modified Johnson-Cook material model should be developed. In this research the combination of experimental work and numerical analysis with clear and simpler calibration strategy for damage model is demonstrated. It aims to reduce laboratory tests using advanced numerical analysis to predict failure in order to save overall cost and development time.

Abstract: Provided here is a mathematical model of the operation of backward extrusion in the mode of short-time creeping of thick-walled pipe blanks made out of orthotropic material with cylindrical anisotropy of the mechanical properties. Carried out was theoretical research of the operation of isothermal axisymmetric backward extrusion of thick-walled pipe blanks made out of anisotropic materials by conic point-tool in the mode of short-time creeping. Established were regularities regarding the change of material flow kinematics, regarding the stressed and strained condition of the blank, regarding force modes and limit possibilities of deformation depending on the technological parameters, on friction conditions on the contact surfaces of the operating tools and of the blank, regarding the geometrical dimensions of the blank and of the manufactured part, and of the anisotropy of the mechanical properties of the blank material, that on the basis of the developed mathematical model of isothermal non-radial flow of anisotropic material under conditions of axisymmetric stressed and strained conditions in the mode of short-time creeping. Experimental operations were carried out for isothermal backward extrusion of thick-walled pipe blanks made out of АМг6 aluminum and ВТ6С titanium alloys. Comparing the results of theoretical and experimental data for force modes of the operation of isothermal backward extrusion of thick-walled pipe blanks points to their satisfactory similarity (difference not exceeding 5% - 10%).

Abstract: The strain-stress state of the solid propellant rocket engines (SPRE) is simulated under impact. Orthotropic organoplastic is the material of the shell. The effect of orientation of elastic and strength properties of the shell material on the strain-stress state of the solid propellant is investigated. Normal interaction of single steel cylinder strikers and oblique impact, both simultaneous and at different times of multiple, converging steel spheric particles with SPRE are considered in the work. The investigation is conducted numerically. The numerical modeling was carried out in three-dimensional statement by a method of finite elements in frameworks of the continual approach of the mechanics of deformable solid. The destruction of the anisotropic material is described by tensor polynomial criterion of the fourth degree, which takes into account the influence of hydrostatic pressure.

Abstract: The derivation and calculation of crack problems by using boundary element method (BEM) are presented. When calculating the node displacement, the displacement boundary integral equations are superseded by stress boundary integral equation, then a simplifier computational process is generated. Stress field and displacement field around the straight crack are calculated by using both BEM and Abaqus methods. Furthermore, the stress intensity factor (SIF) was achieved from the solution. A good agreement is found between the BEM and Abaqus results, proved that BEM is a reliable method to calculate crack problems.

Abstract: The inspection of austenitic and dissimilar welds using ultrasound demands for sophisticated testing techniques. The application of reconstruction methods like the Synthetic Aperture Focusing Technique (SAFT) on the measurement results provides an appropriate approach for defect characterization and sizing. Nevertheless, the reconstruction algorithm has to consider the aniso-tropic wave propagation inside the inhomogeneous weld material. In recent years the detection of transverse cracks has become increasingly important for ensuring the structural integrity of pipes in the primary circuit of nuclear power plants or longitudinally welded, cladded pipes. However, relia-ble inspection techniques are hardly available. In this particular case, it is expected that the compar-atively long propagation path of the ultrasonic wave field inside the inhomogeneous weld material enhances the effect of anisotropy and influences the accuracy and the signal-to-noise-ratio of the reconstruction result. In this contribution we suggest an advanced ultrasonic testing technique for detecting and sizing of transversal cracks in austenitic and dissimilar welds. The method applies a SAFT reconstruction algorithm considering the anisotropy and the inhomogeneity. A V-arrangement of the transducers in pitch-catch technique is chosen to avoid a direct coupling on the weld face. The reconstruction algo-rithm is based on an extended 3-dimensional weld model and uses a ray-tracing approach for de-termining the wave propagation paths. Along with the reconstruction algorithm the transducer set-up and experimental results of different specimens with artificial transverse flaws are presented. The availability of the proposed method for crack sizing is assessed in comparison to conventional testing techniques.

Abstract: Nowadays, the characterization of material is becoming increasingly important due to ma\-nu\-fac\-tu\-ring of new materials and development of computational analysis software intending to reproduce the real behaviour which depends on the quality of the models implemented and their material parameters. However, a large number of technological mechanical tests are carried out to characterize the mechanical properties of materials and similar materials may also have properties and parameters similar. Therefore, many researchers are often confronted with the dilemma of what should be the best set of numerical solution for all different results. Currently, such choice is made based on the empirical experience of each researcher, not representing a severe and objective criterion. Hence, via optimization it is possible to find and classify the most unique and distinguishable solution for pa\-ra\-me\-ters identification. The aim of this work is to propose a methodology that numerically designs the loading path of multiaxial testing machine to characterize metallic thin sheet behavior. This loading path has to be the most informative, exhibiting normal and shear strains as distinctly as possible. Thus, applying Finite Element Analysis (FEA) and Singular Value Decomposition (SVD), the loading path can be evaluated in terms of distinguishability and uniqueness. Consequently, the loading path that leads to the most distinguish and unique set of material parameters can be found using a standard optimization method and the approach proposed. This methodology has been validated to characterize the elastic moduli for an anisotropic material and extrapolated for an hyperelastic material.