• 대한수학회지
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• 제55권1호
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• pp.59-71
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• 2018

In the present paper, we study and classify factorable surfaces in a 3-dimensional isotropic space with constant isotropic Gaussian (K) and mean curvature (H). We provide a non-existence result relating to such surfaces satisfying ${\frac{H}{K}}=const$. Several examples are also illustrated.

• 대한수학회보
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• 제52권3호
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• pp.963-975
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• 2015

In this paper, we give a representation formula for an isotropic curve with pseudo arc length parameter and define the structure function of such curves. Using the representation formula and the Frenet formula, the isotropic Bertrand curve and k-type isotropic helices are characterized in the 3-dimensional complex space $\mathbb{C}^3$.

• 지질공학
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• 제3권3호
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• pp.231-239
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• 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
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• 제32권12호
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• pp.1072-1087
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• 2008

A mixed volume and boundary integral equation method (Mixed VIEM-BIEM) is used to calculate the plane elastostatic field in an isotropic elastic half-plane containing an isotropic or anisotropic inclusion and a void subject to remote loading parallel to the traction-free boundary. A detailed analysis of stress field at the interface between the isotropic matrix and the isotropic or orthotropic inclusion is carried out for different values of the distance between the center of the inclusion and the traction-free surface boundary in an isotropic elastic half-plane containing three different geometries of an isotropic or orthotropic inclusion and a void. The method is shown to be very accurate and effective for investigating the local stresses in an isotropic elastic half-plane containing multiple isotropic or anisotropic inclusions and multiple voids.

• 대한기계학회논문집A
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• 제28권10호
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• pp.1500-1508
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• 2004

Stress and displacement fields for a crack propagating along interface between isotropic material and functionally gradient one with linear property gradation along X direction are developed. The stress and displacement fields are obtained from the complex function of steady plane motion for isotropic and functionally gradient material (FGM). The stresses and displacement in isotropic material of bimaterial are not influenced by nonhomogeneity, however, the fields in FCM are influenced by nonhomogeneity in the terms of higher order, n$\geq$3. When the nonhomogeneous parameter in FGM is zero, or in area close to crack tip, the fields are identical to those of isotropic-isotropic bimaterial. Using these stress components, the effects of nonhomogeneity on stresses are discussed.

• 호남수학학술지
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• 제40권1호
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• pp.47-59
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• 2018

We define the $e^{\alpha}_1e^{\alpha}_3$-isotropic Smarandache curves of type-1 and type-2, the $e^{\alpha}_1e^{\alpha}_2e^{\alpha}_3$-isotropic Smarandache curve, and the $e^{\alpha}_1e^{\alpha}_2e^{\alpha}_4$-isotropic Smarandache curves of type-1 and type-2. Then we examine these kinds of isotropic Smarandache curve according to Cartan frame in the complex 4-space $\mathbb{C}^4$ and give some differential geometric properties of these Samarandache curves.

• 대한기계학회논문집A
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• 제32권2호
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• pp.148-161
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• 2008

A volume integral equation method (VIEM) is used to calculate the plane elastostatic field in an isotropic elastic half-plane containing multiple isotropic or anisotropic inclusions subject to remote loading. A detailed analysis of stress field at the interface between the matrix and the central inclusion in the first column of square packing is carried out for different values of the distance between the center of the central inclusion in the first column of square packing of inclusions and the traction-free surface boundary in an isotropic elastic half-plane containing multiple isotropic or anisotropic inclusions. The method is shown to be very accurate and effective for investigating the local stresses in an isotropic elastic half-plane containing multiple isotropic or anisotropic inclusions.

• Composites Research
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• 제15권5호
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• pp.35-43
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• 2002

본 연구는 폭이 변하는 transversely isotropic 판에서 평행한 변에 서로 크기가 다른 면내 축방향 압축력이 작용하며, 경사진면에는 면내 전단력이 작용하는 경우 판의 탄성좌굴거동에 관한 해석적 연구결과이다. 폭이 변하는 등방성판의 좌굴해석을 위해 개발된 기존의 이론적 해를 확장하여 transversely isotropic 재료의 역학적 성질을 고려한 좌굴해석을 할 수 있도록 하였다. 이론식은 power series를 사용하여 유도하였으며, 유한요소해석을 부가적으로 수행하고 그 결과를 이론식을 사용한 해석결과와 비교, 검토하였다.

• 대한수학회보
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• 제51권1호
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• pp.115-128
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• 2014

In this paper, we study the second approximate Matsumoto metric F = ${\alpha}+{\beta}+{\beta}^2/{\alpha}+{\beta}^3/{\alpha}^2$ on a manifold M. We prove that F is of scalar flag curvature and isotropic S-curvature if and only if it is isotropic Berwald metric with almost isotropic flag curvature.

• 대한수학회보
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• 제54권2호
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• pp.429-442
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• 2017

In the present paper, screen isotropic leaves on lightlike hypersurfaces of a Lorentzian manifold are introduced and studied which are inspired by the definition of isotropic immersions in the Riemannian context. Some examples of such leaves are mentioned. Furthermore, some relations involving curvature invariants are obtained.