• Journal of the Korean Society for Advanced Composite Structures
• /
• v.1 no.3
• /
• pp.1-9
• /
• 2010

In this paper, we used various shear deformation functions for modelling isotropic, symmetric composite and sandwich plates discretized by a mixed finite element method based on the Lagrangian/Hermite interpolation functions. These shear deformation theories uses polynomial, trigonometric, hyperbolic and exponential functions through the thickness direction, allowing for zero transverse shear stresses at the top and bottom surfaces of the plate. All shear deformation functions are compared with other available analytical/3D elasticity solutions, are predicted the reasonable accuracy for investigated problems. Particularly, The present results show that the use of exponential shear deformation theory (Karama et al. 2003; Aydogu 2009) provides very good solutions for composite and sandwich plates.

• Journal of the Korea Academia-Industrial cooperation Society
• /
• v.12 no.11
• /
• pp.5347-5356
• /
• 2011

In this paper, we compared various shear deformation functions for modelling anti-symmetric composite sandwich plates discretized by a mixed finite element method based on the Lagrangian/Hermite interpolation functions. These shear deformation theories uses polynomial, trigonometric, hyperbolic and exponential functions through the thickness direction, allowing for zero transverse shear stresses at the top and bottom surfaces of the plate. All shear deformation functions are compared with other available analytical/3D elasticity solutions, As a result, reasonable accuracy for investigated problems are predicted. Particularly, The present results show that the use of exponential shear deformation theory provides very good solutions for composite sandwich plates.

• The Korean Journal of Rheology
• /
• v.5 no.2
• /
• pp.99-108
• /
• 1993

시멘트 페이스트의 비선형적 점탄성 거동을 연구하기 위해 동적인 전단 유동 시험 이 수행되었다. 전단응력과 전단변형 또는 전단변형율간의 관계를 보여주는 히스테리시스 곡선을 얻기 위하여 전단응력이 연속적으로 측정되었다. 이는 기존의 주파수 혹은 변형의 증가에 의한 실험(frequency or strain sweep experiment)과는 달리 저자에 의해 수정된 점 성계(HAAKE Model RV20/RC20/CV20N)의 조정프로그램을 이용하여 수행되었다. 동적 전 단유동시험에서 얻어진 히스테리시스곡선은 시멘트 페이스트가 전단변형을 받는 동안 선형 탄성, 입자간 연결고리의 파괴 및 점성유체 거동을 보여준다. 측정된 항복전단응력은 전단변 형율의 증가에 따라 파우어함수(Power low equation)에 의해 증가함을 보여준다.

• The Korean Journal of Rheology
• /
• v.6 no.1
• /
• pp.60-65
• /
• 1994

덕트유동에서 재료입자의 변형은 그 입자의 초기위치와 방향에 의존한다. 이러한 변 형과정을 이해하기 위하여 변형구배텐서를 덕트 전단면에 걸쳐 초기위치와 시간의 함수로 계산할수 있어야한다. 따라서 본 논문은 입자궤적 궤도에 접하는 직교좌표계를 선택하여 3 차원 덕트유동에서의 변형구배텐서를 덕트 전단면에 걸처 초기위치와 시간의 함수로 계산할 수 있어야한다. 따라서 본 논문은 입자궤적 궤도에 접하는 직교좌표계를 선택하여 3차원 덕 트 유동에서의 변형구배텐서를 효과적으로 계산할수 있는 간단한 방법을 제안한다. 이러한 특수 좌표계로부터 구해진 변형구배텐서가 덕트유동에서의 변형척도를 이해하는데에 매우 중요함을 알수 있었다.

• Proceedings of the Computational Structural Engineering Institute Conference
• /
• 2011.04a
• /
• pp.760-763
• /
• 2011

본 논문의 목적은 효율적인 3절점 판 유한요소를 개발하는 것이다. Hellinger-Reissner 범함수에 근거한 혼합정식화(mixed formulation)를 사용한다. 잠김현상을 일으키는 전단변형률장을 독립적으로 분리한 후, MITC(Mixed Interpolation of Tensorial Components)방법을 이용하여 대체전단변형률장(assumed transverse shear strain field)을 구성한다. 추가적으로 회전된 반변기저벡터(contravariant base vector)로 정의된 근사전단변형률장(approximated transverse shear strain field)에 미지수(unknowns)를 도입하여 혼합정식화를 완성시키고 정적응축(static condensation)을 통해 최종 강성행렬을 구성한다. 거짓영에너지모드시험(spurious zero energy mode test), 조각시험(patch test), 등방성시험(isotropic test) 등을 실시하였으며, 4변 완전구속 정사각형 판 구조물과 60도 기울어진 단순지지 판 구조물 등 예제들을 해석하여 MITC3판 유한요소와 수렴성능을 비교하였다.

• Transactions of the Korean Society of Mechanical Engineers
• /
• v.15 no.3
• /
• pp.751-756
• /
• 1991

본 연구에서는 Ashwell이 제시한 변형률요소를 전단효과를 고려한 두꺼운 곡 선보 요소에 적용 하였다. 막 변형률, 곡률, 전단변형률 각각에 독립된 변형률 함수 를 가정하여 미분 방정식의 일반해를 구하면 정확한 강체변위의 표현은 물론, 강성과 잉현상을 피할 수 있고 얇은 곡선보에서 두꺼운 곡선보에 이르기까지 보의 해석에 있 어서, 2절점으로 구성되는 적은 자유도수에서 높은 정확도를 보여주는 간편하고도 효 율적인 요소를 개발하고자 하였다.

• Journal of the Earthquake Engineering Society of Korea
• /
• v.7 no.5
• /
• pp.47-56
• /
• 2003

In this paper, the cyclic soil behavior model. which can accommodate the cyclic hardening, was developed by modifying the original parallel IWAN model. In order to consider the irrecoverable plastic strain of soil. the cyclic threshold strain, above which the backbone curve deviates from the original curve, was defined and the accumulated strain was determined by summation of the strains above the cyclic threshold in the stress-strain curve with applying Masing rule on unloading and reloading curves. The isotropic hardening elements are attached to the original parallel IWAN model and the slip stresses in the isotropic hardening elements are shown to increase according to the hardening functions. The hardening functions have a single parameter to account for the cyclic hardening and are defined by the symmetric limit cyclic loading test in forms of accumulated shear strain. The model development procedures are included in this paper and the verifications of developed model are discussed in the companion paper.

• Journal of Korean Society of Steel Construction
• /
• v.16 no.3 s.70
• /
• pp.295-303
• /
• 2004

In this paper, an improved four-node Reissner-Mindlin plate-bending element with enhanced assumed strain field is presented for the analysis of isotropic and laminated composite plates. To avoid the shear locking and spurious zero energy modes, the transverse shear behavior is improved by the addition of a new enhanced shear strain based on the incompatible displacement mode approach and bubble function. The "standard" enhanced strain fields (Andelfinger and Ramm, 1993) are also employed to improve the in-plane behaviors of the plate elements. The four-node quadrilateral element derived using the first-order shear deformation theory is designated as "14EASP". Several applications are investigated to assess the features and the performances of the proposed element. The results are compared with other finite element solutions and analytical solutions. Numerical examples show that the element is stable, invariant, passes the patch test, and yields good results especially in highly distorted regimes.

• Geotechnical Engineering
• /
• v.2 no.1
• /
• pp.15-26
• /
• 1986

Consolidated undrained standard triaxial tests for two remoulded clays and one undisturbed clay were carried out in order to find out the relationship between excess pore water pressure and axial strain in mortally consolidatated saturated clays during undrained shear. Tests were performed with isotropically-normally consolidated specimens by strain controlled and stress controlled loading. As the result of this stud!'a hyperbolic function expressing the relationship between pore water pressure and strain was found out, and it showed the same form as the Kondner's hyperbolic function for stress·strain behaviour. Two parameters used for the function can be obtained by CU-triaxial test.

• Journal of the Korea institute for structural maintenance and inspection
• /
• v.8 no.4
• /
• pp.107-114
• /
• 2004

In this paper, a simple improved 8-node finite element for the finite element analysis of fibrous composite plates is presented by using the direct modification. We drive explicit expressions of shape functions for the 8-node element with bilinear element geometry, which is modified so that it can represent any quadratic fields in Cartesian coordinates. The refined first-order shear deformation theory is proposed, which results in parabolic through-thickness distribution of the transverse shear strains and stresses from the formulation based on the third-order shear deformation theory. It eliminates the need for shear correction factors in the first-order theory. This finite element is further improved by combined use of assumed strain, modified shape function, and refined first-order theory. To show the effectiveness of our simple modification on the 8-node finite elements, numerical studies are carried out the static, buckling and free vibration analysis of fibrous composite plates.