• 지질공학
• /
• 제3권3호
• /
• pp.231-239
• /
• 1993

본 연구에서는 지층속도가 이방성의 일종인 횡적등방성을 갖는 지역에서의 시추공 간 탄성파 주시자료를 역산하여 속도 이상대를 규명하는 연구를 시행하였다. 등방성 및 횡적등방성이 모형지층에 대해 파선추적법으로 합성 탄성파 주시를 구한 후, 이 주시자료에 대해 이방성을 고려한 ART 역산법과 이방성을 고려하지 않은 일반적인 ART 연산법에 의해 속도 분포를 구해본 결과, 이방성을 고려한 ART법에 의하면 이방성 및 등방성 지층의 속도분포가 잘 결정되었으며 일반적 ART법에 의하면 등방성 지층의 속도는 잘 결정되나 이방성 지층의 속도에는 오차가 많이 발생하였다. 따라서 지층의 이방성 또는 횡적등방성에 대한 사전 정보가 없을 때에는 이방성을 고려한 ART법을 적용하는 것이 좋을 것이다.

• 대한기계학회논문집A
• /
• 제26권7호
• /
• pp.1384-1392
• /
• 2002

Single fiber pull-out technique has been commonly used to characterize the mechanical behavior of interface in fiber reinforced composite materials. An improved analysis considering the effects of transversely isotropic properties of fiber and the effects of thermal residual stresses in both radial and axial directions along the fiber/matrix interface is developed for the single fiber pull-out test. Although the stress transfer properties across the interface is not much affected by considering the transversely isotropic properties of fiber, interfacial debonding is notably encouraged by the effect. The interfacial shear stress that plays an important role in interfacial debonding is very much affected by the component of axial thermal residual stress in the bonded region, which can induce a two-way debonding mechanism.

• Journal of applied mathematics & informatics
• /
• 제6권3호
• /
• pp.873-884
• /
• 1999

On the basis of the semi-linear material of John invoking the theory of homogenization for heterogeneous media and the theory of invariants for isotropic scalar functions an energy function is built for a transversely-isotropic medium in finite elastic deformation. The ponyting Effect for material in simple shear is reviewed for this case of transversal isotropy. It is shown that this effect is apprehended by the constructed energy function.

• 소음진동
• /
• 제7권3호
• /
• pp.449-455
• /
• 1997

A theoretical study is presented for the prediction of the scattering of obliquely incident plane acoustic wave by transversely isotropic cylindrical shells immersed in water. In dorder to illustrate the vailidity of the theory backscattering form functions are compared with the existing results for degenerated problems: the catterings by isotropic shell and transversely isotropic solid cylinder. The unidirectional fiber reinforced boron-aluminum composites are selected as a model of transversely isotropic materials having potential applications in practice. From the resonant scattering analysis of the partial backscattering form functions, the dispersion curves for fluid-borne Stoneley wave, guided wave along the shell, and the lowest three Lamb type waves can be found. The Lamb type dispersions are compared with those of the flat plate. The variation of anisotropy significantly affects the properties of circumferential waves. From these results, it can be possible to identify parametrically the material properties of anisotropic cylindrical targets.

• 전산구조공학
• /
• 제10권1호
• /
• pp.159-171
• /
• 1997

본 연구에서는 구형 공동을 가진 횡 방향 등방성 매체(transversely isotropic medium)에 한 방향의 인장과 평면 전단력을 각각 가한 후의 응력 분포를 고찰하였다. 이 연구에서 사용된 접근방법은 이론적 해석과 수치해석적 고찰을 병행하였다. 이론적 해석방법은 1종, 2종 Legendre함수를 이용한 potential function에 기초하였고, 수치해석적 방법은 유한차분법을 이용하였다. 다섯가지 이방성 재료에 대하여 두가지 하중 조건에 의한 수치해석 결과가 제시되었다.

• 대한기계학회논문집A
• /
• 제33권12호
• /
• pp.1455-1463
• /
• 2009

Theoretical mechanics analysis and finite element simulation were performed to investigate creep deformation behavior at the crack tip of transversely isotropic materials under small scale creep (SCC) conditions. Mechanical behavior of material was assumed as an elastic-$2^{nd}$ creep, which elastic modulus ( E ), Poisson's ratio ( ${\nu}$ ) and creep stress exponent ( n ) were isotropic and creep coefficient was only transversely isotropic. Based on the mechanics analysis for material behavior, a constitutive equation for transversely isotropic creep behavior was formulated and an equivalent creep coefficient was proposed under plain strain conditions. Creep deformation behavior at the crack tip was investigated through the finite element analysis. The results of the finite element analysis showed that creep deformation in transversely isotropic materials is dominant at the rear of the crack-tip. This result was more obvious when a load was applied to principal axis of anisotropy. Based on the results of the mechanics analysis and the finite element simulation, a corrected estimation scheme of the creep zone size was proposed in order to evaluate the creep deformation behavior at the crack tip of transversely isotropic creeping materials.

• 한국정보전자통신기술학회논문지
• /
• 제4권4호
• /
• pp.236-241
• /
• 2011

높은 기공성을 갖춘 망상골과 고체의 비율이 높은 피질골의 기계적 성질은 초음파 파동 전파 측정법으로 알 수 있다. 초음파의 속도(SOS)는 bulk wave 방정식과 bar wave 방정식을 통해 산출할 수 있다. Bulk wave는 Biot의 이론에서 빠른 파동과 매우 유사함을 이용해, 본 연구에서 뼈의 이방성을 담은 행렬에 의해 bulk wave 속도가 변하는 여부를 측정하였다. 음파의 속도는 뼈가 횡방적인(transversely isotropy) 특성을 갖을 때보다 등방적인 특성을 갖을 때 0.69% 빠르다. 또한 bar wave 방정식을 사용하여 피질골에 대한 속도를 측정하였다. 전의 논문에 의하면 bar wave 속도는 탄성 계수 텐서 혹은 영의 계수의 함수이고 이와 같은 방법으로 bar wave 속도에 의해 등방성과 이방성을 측정하였다.

• Coupled systems mechanics
• /
• 제8권4호
• /
• pp.299-313
• /
• 2019

The paper represents computer modeling of the deformed state of physically nonlinear transversally isotropic bodies with hole. In order to describe the anisotropy of the mechanical properties of transversally-isotropic materials a structurally phenomenological model has been used. This model allows representing the initial material in the form of the coupled isotropic materials: the basic material (binder) considered from the positions of continuum mechanics and the fiber material oriented along the anisotropy direction of the original material. It is assumed that the fibers perceive only the axial tensile-compression forces and are deformed together with the base material. To solve the problems of the theory of plasticity, simplified theories of small elastoplastic deformation have been used for a transversely-isotropic body, developed by B.E. Pobedrya. A simplified theory allows applying the theory of small elastoplastic deformations to solve specific applied problems, since in this case the fibrous medium is replaced by an equivalent transversely isotropic medium with effective mechanical parameters. The essence of simplification is that with simple stretching of composite in direction of the transversal isotropy axis and in direction perpendicular to it, plastic deformations do not arise. As a result, the intensity of stresses and deformations both along the principal axis of the transversal isotropy and along the perpendicular plane of isotropy is determined separately. The representation of the fibrous composite in the form of a homogeneous anisotropic material with effective mechanical parameters allows for a sufficiently accurate calculation of stresses and strains. The calculation is carried out under different loading conditions, keeping in mind that both sizes characterizing the fibrous material fiber thickness and the gap between the fibers-are several orders smaller than the radius of the hole. Based on the simplified theory and the finite element method, a computer model of nonlinear deformation of fibrous composites is constructed. For carrying out computational experiments, a specialized software package was developed. The effect of hole configuration on the distribution of deformation and stress fields in the vicinity of concentrators was investigated.

• Geomechanics and Engineering
• /
• 제5권1호
• /
• pp.71-86
• /
• 2013

For rock materials, a transversely isotropic failure criterion established through the extended Lade-Duncan failure criterion incorporating an anisotropic state scalar parameter, which is a joint invariant of deviatoric microstructure fabric tensor and normalized deviatoric stress tensor, is verified with the results of triaxial compressive data on Tournemire shale. For torsional shear mode with $0{\leq}b{\leq}0.75$, rock shear strengths decrease with ${\alpha}$ increasing until the rock shear strength approaches minimum value at ${\alpha}{\approx}40^{\circ}$, and after this point, the rock shear strengths increase as ${\alpha}$ increases further. For the torsional shear mode with b > 0.75, rock shear strengths are almost constant for ${\alpha}{\leq}40^{\circ}$, but it increases with increase in ${\alpha}$ afterwards. The rock shear strength variation against ${\alpha}$ agrees with shear strength changing tendency of heavily OCR natural London Clays tested before. Prediction results show that the transversely isotropic failure criterion proposed in the paper is reasonable.

• 전산구조공학
• /
• 제11권3호
• /
• pp.229-239
• /
• 1998

복합재료는 강도-무게비가 다른 재료들에 비해 훨씬 크기 때문에 부재의 좌굴문제가 대단히 중요하게 취급되며, 본 논문에서는 축방향 압축력을 받는 복합재료로 된 쉘 부재의 좌굴해석이 수행된다. 이 재료는 일반적으로 이방성 재료 특성을 나타내 보이나, 섬유들이 한 방향으로만 배치되어 있는 경우 섬유방향에 연직한 평면에서의 강도나 탄성계수들은 모두 일정한 횡 등방성 재료성질을 가진 것으로 간주할 수 있다. 9 절점 degenerate 쉘 유한요소를 사용한 선형안정해석, LUSAS 범용 프로그램을 이용한 구조해석, 그리고 고전적 쉘 좌굴방정식에 의한 해석들을 수행하였으며, 그 결과들을 서로 비교, 분석하였다. 고려된 등방성 재료나 횡 등방성 재료의 경우 모두, degenerate 유한요소해석으로 계산한 임계하중들은 고전적 이론해에 의한 결과들 보다 낮았으며, LUSAS 결과들과는 거의 같았다. 이는 degenerate 유한요소에 의한 선형안정해석 결과들이 안전측에 듬을 의미하며, 복합재료로 된 쉘 구조물의 좌굴해석에 degenerate 유한요소를 효율적으로 적용할 수 있음을 의미한다.