• 한국자동차공학회논문집
• /
• 제3권1호
• /
• pp.97-107
• /
• 1995

Global postbuckling analysis is accomplished for one-dimensional and two-dimensional delaminations. A new finite element model, which can be used to model the global postbuckling analysis of one-dimensional and two-dimensional delaminations, is presented. In order to calculate the strain energy release rate, geometrically nonlinear analysis is accomplished, and the incremental crack closure technique is introduced. To check the effectiveness of the finite element models and the incremental crack closure technique, the simplified closed-form sloution for a through-the-width delamination with plane strain condition is derived and compared with the finite element result. The finite element results show good agreement with the closed-foul1 solutions. The present method was extended to calculate the strain energy release rate for two-dimensional delamination. For a symmetric circular delamination, the strain energy release rate shows great variation along the delamination front. and the delamination growth appears to occur perpendicular to the loading direction.

• Coupled systems mechanics
• /
• 제8권1호
• /
• pp.1-17
• /
• 2019

The present paper deals with delamination fracture analyses of the multilayered functionally graded non-linear elastic Symmetric Split Beam (SSB) configurations. The material is functionally graded in both width and height directions in each layer. It is assumed that the material properties are distributed non-symmetrically with respect to the centroidal axes of the beam cross-section. Sine laws are used to describe the continuous variation of the material properties in the cross-sections of the layers. The delamination fracture is analyzed in terms of the strain energy release rate by considering the balance of the energy. A comparison with the J-integral is performed for verification. The solution derived is used for parametric analyses of the delamination fracture behavior of the multilayered functionally graded SSB in order to evaluate the effects of the sine gradients of the three material properties in the width and height directions of the layers and the location of the crack along the beam width on the strain energy release rate. The solution obtained is valid for two-dimensional functionally graded non-linear elastic SSB configurations which are made of an arbitrary number of lengthwise vertical layers. A delamination crack is located arbitrary between layers. Thus, the two crack arms have different widths. Besides, the layers have individual widths and material properties.

• 대한기계학회논문집
• /
• 제6권2호
• /
• pp.140-146
• /
• 1982

The purpose of this study is to investigate the free edge delamination of the laminated composites under uniaxial strain. The laminate is modeled as a set of anisotropic layers with isotropic adhesive layers. Interlaminar stresses are calculated for laminate with various laminate parameters by using two dimensional finite difference method. The redistribution of interlaminar stresses after delamination and the relation between delamination any ply failure are obtained for [.+-.45.deg.]$_{s}$, [0.deg./.+-./.+-.45.deg./90.deg.]$_{s}$ and [0.deg./45.deg./90.deg/45.deg.]$_{s}$ laminates. It was found that delamination can not propagate the entire width of the laminate under the static loading condition.ition.

• Steel and Composite Structures
• /
• 제35권3호
• /
• pp.439-447
• /
• 2020

This paper presents two sets of full three-dimensional thermoelastic finite element analyses of superimposed thermo-mechanically loaded Spar Wingskin Joints made with laminated Graphite Fiber Reinforced Plastic composites. The study emphasizes the influence of residual thermal stresses and material anisotropy on the inter-laminar delamination behavior of the joint structure. The delamination has been pre-embedded at the most likely location, i.e., in resin layer between the top and next ply of the fiber reinforced plastic laminated wingskin and near the spar overlap end. Multi-Point Constraint finite elements have been made use of at the vicinity of the delamination fronts. This helps in simulating the growth of the embedded delamination at both ends. The inter-laminar thermoelastic peel and shear stresses responsible for causing delamination damage due to a combined thermal and a static loading have been evaluated. Strain energy release rate components corresponding to the Mode I (opening), Mode II (sliding) and Mode III (tearing) of delamination are determined using the principle of Virtual Crack Closure Technique. These are seen to be different and non-self-similar at the two fronts of the embedded delamination. Residual stresses developed due to the thermoelastic anisotropy of the laminae are found to strongly influence the delamination onset and propagation characteristics, which have been reflected by the asymmetries in the nature of energy release rate plots and their significant variation along the delamination front.

• Structural Engineering and Mechanics
• /
• 제25권6호
• /
• pp.733-751
• /
• 2007

The metis element method (Hung 1978) has been applied to analyse free edge interlaminar stresses and delamination in composite laminates, which are subjected to extension and bending. The paper recalls Lekhnitskii's solution for generalized plane strain state of composite laminate and Wang's singular solution for determination of stress singularity order and of eigen coefficients $C_m$ for delamination problem. Then the formulae of metis displacement finite element in two-dimensional problem are established. Computation of the stress intensity factors and the energy release rates are presented in details. The energy release rate, G, is computed by Irwin's virtual crack technique using metis elements. Finally, results of interlaminar stresses, the three stress intensity factors and the energy release rates for delamination crack in composite laminates under extension and bending are illustrated and compared with the literature to demonstrate the efficiency of the present method.

• 한국전산구조공학회논문집
• /
• 제25권4호
• /
• pp.293-300
• /
• 2012

본 논문에서는 직교이방성 적층평판에서의 균열생성 및 전파로 이루어진 층간분리해석을 다룬다. 기존의 p-유한요소가 가지고 있는 요소의 강건성을 균열진전해석에 적용하여, 균열진전시 모델링을 재구성하지 않고, 균열 선단부에 해당되는 꼭지점 모드의 위치만을 이동하도록 하여, 요소망을 단순화시켰다. 이와 같은 층간분리해석에 대해서 이 논문에서의 주요 목적은 다음 두 가지이다. 첫째, 적층복합 재료의 층간분리해석 시, 일반적인 유한요소 모델과 비교하여 매우 간단한 요소망을 가지는 모델을 제안하는 것이다. 모델의 타당성을 평가하기 위해 적층 복합재료로 구성된 이중 외팔보 해석을 통하여, 기존 참고문헌 값과의 비교를 수행하였다. 둘째, 제안된 모델을 내부균열을 갖는 적층평판의 층간분리해석에 적용하여 여러 가지 거동 양상에 대한 평가이다. 이와 같은 목적을 수행하기 위하여 로바토 형상함수를 이용한 완전층별요소가 고려되었으며, 선형탄성파괴역학에 기초한 3차원 가상균열닫힘법을 이용하여 에너지 방출률을 산정하였다.

• Smart Structures and Systems
• /
• 제3권4호
• /
• pp.439-454
• /
• 2007

In this paper a damage imaging technique using pre-stack migration is developed using Lamb (guided) wave propagation in composite structures for imaging multi damages by both numerical simulations and experimental studies. In particular, the paper focuses on the experimental study using a finite number of sensors for future practical applications. A composite laminate with a surface-mounted linear piezoelectric ceramic (PZT) disk array is illustrated as an example. Two types of damages, one straight-crack damage and two simulated circular-shaped delamination damage, have been studied. First, Mindlin plate theory is used to model Lamb waves propagating in laminates. The group velocities of flexural waves in the composite laminate are also derived from dispersion relations and validated by experiments. Then the pre-stack migration technique is performed by using a two-dimensional explicit finite difference algorithm to back-propagate the scattered energy to the damages and damages are imaged together with the excitation-time imaging conditions. Stacking these images together deduces the resulting image of damages. Both simulations and experimental results show that the pre-stack migration method is a promising method for damage identification in composite structures.

• Steel and Composite Structures
• /
• 제25권1호
• /
• pp.35-43
• /
• 2017

This paper presents the findings of experimental and numerical investigations on failure analysis and structural behavior of notched steel I-beams reinforced by bonded Carbon Fiber Reinforced Polymer (CFRP) plates under static load. To find solutions for preventing or delaying the failures, understanding the CFRP failure modes is beneficial. One non-strengthened control beam and four specimens with different deficiencies (one side and two sides) on flexural flanges in both experimental test and simulation were studied. Two additional notched beams were investigated just numerically. In the experimental test, four-point bending method with static gradual loading was employed. To simulate the specimens, ABAQUS software in full three dimensional (3D) case and non-linear analysis method was applied. The results show that the CFRP failure modes in strengthening of deficient steel I-beams include end-debonding, below point load debonding, splitting and delamination. Strengthening schedule is important to the occurrences and sequences of CFRP failure modes. Additionally, application of CFRP plates in the deficiency region prevents crack propagation and brittle failure.

• Composites Research
• /
• 제30권5호
• /
• pp.297-302
• /
• 2017

본 연구에서는 적층복합재료에 발생하는 주요 손상인 박리를 방지하기 위하여, 굽힘-비틀림 하중이 작용하는 T-빔의 유한요소해석을 수행하였다. 복합재료 T-빔의 제작에 사용할 수 있는 3차원 직조 프리폼을 설계하고자 하였으며, 이는 2차원 구조의 직조섬유가 두께방향으로도 직조가 되어 있는 형태로서, 층간 분리에 의한 박리를 방지할 수 있는 구조이다. 적층복합재료의 해석 및 평가를 위하여 개발된 유한요소해석 소프트웨어인 ANSYS Composites PrePost를 이용하여 구조해석을 수행함으로써 적층복합재료의 섬유비율을 최적화하고, 이를 토대로 3차원 프리폼 T-빔의 제작을 위한 가이드라인을 제시하였다. 해석결과, T-빔의 길이방향 섬유의 비율이 수직방향 섬유의 2배일 때 가장 높은 강도를 보였으며, 하중조건의 변화에도 최적화된 빔 구조의 강도가 유지되는 것을 확인할 수 있었다. 도출된 섬유비율을 이용하여 3차원 프리폼을 개발할 경우, 박리가 일어나지 않는 고강도의 T-빔 구조물을 제작할 수 있을 것으로 기대된다.

• 대한기계학회논문집
• /
• 제15권6호
• /
• pp.2002-2014
• /
• 1991

본 연구에서는 모재균열의 열림변위로 인한 변형을 고려하여, 모재균열 주위 의 응력분포를 구하기 위한 2차원 해석방법을 제안한다. 제안된 방법은 두께방향 다 항식 형태로 가정된 변위성분으로부터 모재균열 주쥐의 변위, 응력분포를 구한다. 본 방법은 적층판의 프아송비(Poisson's ratio) 효과와 열잔류응력(thermal residual stress)의 영향을 고려하였으며, 계면층(interface layer) 개념을 사용하여 특성손상 상태 이후에 발생하는 층간분리를 평가하기 위한 기초자료인 층간수직응력과 층간전단 응력을 결정하였다. 제안된 방법의 타당성을 검증하기 위하여, 유한요소해석(finite element analysis)을 수행하여 제안된 방법의 응력분포 결과를 유한요소해석 결과와 비교하여 보았다.