• 한국응용곤충학회지
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• 제49권3호
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• pp.175-185
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• 2010

생물다양성(또는 종풍부성)에 미치는 고도 또는 위도 효과는 과거에서부터 현재까지 생물지리학자들의 최대관심사 중 하나라 할 수 있다. 본 연구는 제주도 한라산 24개 습지에 발생하는 수서곤충을 대상으로 고도구배에 따른 출현 종수(종풍부성)의 변화특성을 구명하고 Rapoport의 법칙을 검정하고자 실시하였다. 습지의 면적 효과를 제거하지 않았을 때 해발고도가 증가 할수록 수서곤충 출현 종수는 단조적으로(monotonical) 감소하였고 상관분석결과 통계적으로 유의한 역상관 관계를 보였다(r = -0.64). 고도와 출현 종수의 관계에서 출현 종수를 면적 대비 표준화하여 면적 효과를 제거한 결과 고도의 증가에 따라 처음에는 출현 종수가 증가하다가 최고점을 지나서는 감소하는 전형적인 고봉형 양상(hump-shaped pattern)을 나타냈다. 각 종의 평균 서식고도(수직분포의 중위값)와 수직서식분포 범위와의 관계는 평균 서식고도가 높을수록 분포범위가 증가하는 Rapport의 법칙을 따랐다. 노린재목을 제외하고 평균 서식고도와 수직분포 범위 간에는 정상관을 보였다(잠자리목: r = 0.75, 노린재목: r = -0.22, 딱정벌레목: r = 0.72, 전체: r = 0.55). 또한 상위영역 종은 평균 분포범위가 904.3m로 하위영역 종의 469.5m보다 통계적으로 유의하게 분포범위가 넓었다. 종합적으로 판단할 때 고도별 한라산 습지 수서곤충의 종풍부성 분포는 Rapoport의 법칙에 잘 일치되었다.

• 대한기계학회논문집A
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• 제27권9호
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• pp.1562-1570
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• 2003

The prediction of the inelastic behavior of the structure is an essential part of reliability assessment procedure, because most of the failures are induced by the inelastic deformation, such as creep and plastic deformation. During decades, there has been much progress in understanding of the inelastic behavior of the materials and a lot of inelastic constitutive equations have been developed. The complexity of these constitutive equations generally requires a stable and accurate numerical method. The radial return mapping is one of the most robust integration scheme currently used. Nonlinear kinematic hardening model of Armstrong-Fredrick type has recovery term and the direction of kinematic hardening increment is not parallel to that of plastic strain increment. In this case, The conventional radial return mapping method cannot be applied directly. In this investigation, we expanded the radial return mapping method to consider the nonlinear kinematic hardening model and implemented this integration scheme into ABAQUS by means of UMAT subroutine. The solution of the non-linear system of algebraic equations arising from time discretization with the generalized midpoint rule is determined using Newton method and bisection method. Using dynamic yield condition derived from linearization of flow rule, the integration scheme for elastoplastic and viscoplastic constitutive model was unified. Several numerical examples are considered to demonstrate the efficiency and applicability of the present method.

• 소성∙가공
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• 제7권3호
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• pp.233-245
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• 1998

A new approach has been proposed for the incremental analysis of the nonsteady state large deformation of planar anisotropic elastic-plastic sheet forming. A mathematical brief review of a constitutive law for the incremental deformation theory has been presented from flow theory using the minimum plastic work path for elastic-plastic material. Since the material embedded coordinate system(Lagrangian quantity) is used in the proposed theory the stress integration procedure is completely objective. A new return mapping algorithm has been also developed from the general midpoint rule so as to achieve numerically large strain increment by successive control of yield function residuals. Some numerical tests for the return mapping algorithm were performed using Barlat's six component anisotropic stress potential. Performance of the proposed algorithm was shown to be good and stable for a large strain increment, For planar anisotropic sheet forming updating algorithm of planar anisotropic axes has been newly proposed. In order to show the effectiveness and validity of the present formulation earing simulation for a cylindrical cup drawing and front fender stamping analysis are performed. From the results it has been shown that the present formulation can provide a good basis for analysis for analysis of elastic-plastic sheet metal forming processes.