• 한국지진공학회논문집
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• 제8권2호
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• pp.19-25
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• 2004

일반적으로 운동방정식을 풀기 위해 많이 이용되는 선형근사모델은 계산이 용이한 반면에 큰 변형상태에서는 그 오차가 커지는 단점이 있다. 따라서 엄밀한 구조물의 응답해석을 위해서는 물성과 기하에 대한 비선형성을 고려해야 한다. 또한, 강과 같이 연성이 큰 재료는 소성 변형을 일으키면서 소산되는 에너지의 대부분이 열로 변하게 되며, 이 열은 열역학 제1 법칙과 2 법칙에 따라 다른 부분으로 전달된다. 이렇게 전달된 열은 온도를 상승시켜 재료의 강도를 약화시키는 역할을 하며, 이것이 다시 구조물의 응답에 영향을 미친다. 본 논문에서는 지진 등의 큰 하중을 받거나 화재로 인한 열 하중을 받는 강구조물의 비선형 대 변형 현상을 적절히 해석할 수 있는 열-탄소성 물성모델을 제안하고 3차원 유한요소해석을 수행하려다.

• 전산구조공학
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• 제4권1호
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• pp.73-82
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• 1991

판의 탄소성 좌굴문제는 판 구조의 해석과 설계시의 중요성으로 인하여 상당한 관심이 모아져 온 분야이다. 본 연구에서는 유한요소법에 의한 효율적인 탄소성 좌굴해석 프로그램을 개발하였다. 탄소성 강성행렬을 구성하기 위한 소성이론으로는 실험결과와 잘 일치하는 Stowell의 변형이론을 사용하였으며, 좌굴하중을 해석하기 위해서는 고유치해석에 의한 반복기법을 사용하였다. 고유치해석에서는 불필요한 고유치의 계산을 피할 수 있는 subspace반복기법을 사용하였다. 해석결과를 Stowell이 제시한 이론해와 Pride에 의한 실험결과와 비교하여 프로그램의 타당성을 보이고, 이를 이용하여 단순지지, 또는 고정된 경계조건에 대하여 일축 또는 이축응력이 작용되는 여러 경우에 대하여 좌굴하중을 구하였다. 또한, 탄소성 좌굴에 미치는 형상비의 영향을 검토하였다.

• 한국소성가공학회:학술대회논문집
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• 한국소성가공학회 1997년도 추계학술대회논문집
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• pp.76-79
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• 1997

In this study, an elasto-plastic finite element code, ESFORM, was developed to analyze sheet stamping processes. A formulation of 4-node degenerated shell element was implemented in the code. Workpiece materials were assumed to have planar anisotropy, and governed by associated flow rule. Explicit time integration method was employed to save computation time and reduce the required computer memory. Penalty method was used to describe interface behavior between workpiece and rigid die. Deep drawing of square cup and front finder stamping processes were simulated by ESFORM>

• Structural Engineering and Mechanics
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• 제68권3호
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• pp.299-312
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• 2018

In this paper, an extended finite element method is proposed to analyze both geometric and material non-linear behavior of general Functionally Graded Material (FGM) plate-shell type structures. A user defined subroutine (UMAT) is developed and implemented in Abaqus/Standard to study the elastoplastic behavior of the ceramic particle-reinforced metal-matrix FGM plates-shells. The standard quadrilateral 4-nodes shell element with three rotational and three translational degrees of freedom per node, S4, is extended in the present study, to deal with elasto-plastic analysis of geometrically non-linear FGM plate-shell structures. The elastoplastic material properties are assumed to vary smoothly through the thickness of the plate-shell type structures. The nonlinear approach is based on Mori-Tanaka model to underline micromechanics and locally determine the effective FGM properties and self-consistent method of Suquet for the homogenization of the stress-field. The elasto-plastic behavior of the ceramic/metal FGM is assumed to follow Ludwik hardening law. An incremental formulation of the elasto-plastic constitutive relation is developed to predict the tangent operator. In order to to highlight the effectiveness and the accuracy of the present finite element procedure, numerical examples of geometrically non-linear elastoplastic functionally graded plates and shells are presented. The effects of the geometrical parameters and the volume fraction index on nonlinear responses are performed.

• Coupled systems mechanics
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• 제8권6호
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• pp.537-553
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• 2019

In this paper we present geometrically exact Kirchhoff's initially curved planar beam model. The theoretical formulation of the proposed model is based upon Reissner's geometrically exact beam formulation presented in classical works as a starting point, but with imposed Kirchhoff's constraint in the rotated strain measure. Such constraint imposes that shear deformation becomes negligible, and as a result, curvature depends on the second derivative of displacements. The constitutive law is plasticity with linear hardening, defined separately for axial and bending response. We construct discrete approximation by using Hermite's polynomials, for both position vector and displacements, and present the finite element arrays and details of numerical implementation. Several numerical examples are presented in order to illustrate an excellent performance of the proposed beam model.

• 한국지진공학회논문집
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• 제5권3호
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• pp.57-64
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• 2001

보강된 판 및 쉘구조의 동적 비선형해석을 수행하기 위하여, 유한회전을 고려한 변형된 쉘유한요소를 이용하여 total Lagrangian formulation이 제시된다. 전단구속 (shear locking) 현상과 가상의 제로에너지 모우드를 동시에 제거하기 위하여 가정변형도 개념을 채용한다. 탄소성해석에서는 return mapping 미해rithm이 쉘구조의 붕괴 해석에 적용된다. Newmark 직접적분법을 사용하여 동하중 및 지진하중을 받는 쉘구조의 동적 비선형해석 결과를 제시한다.

• Structural Engineering and Mechanics
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• 제5권5호
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• pp.645-662
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• 1997

A nonlinear semi-three-dimensional layered finite element procedure is developed for cracking and failure analysis of reinforced concrete beams and the spandrel beam-column-slab connections of flat plates. The layered element approach takes the elasto-plastic failure behaviour and geometric nonlinearity into consideration. A strain-hardening plasticity concrete model and a smeared steel model are incorporated into the layered element formulation. Further, shear failure, transverse reinforcement, spandrel beams and columns are successfully modelled. The proposed method incorporating the nonlinear constitutive models for concrete and steel is implemented in a finite element program. Test specimens including a series of reinforced concrete beams and beam-column-slab connections of flat plates are analysed. Results confirm the effectiveness and accuracy of the layered procedure in predicting both flexural and shear cracking up to failure.

• Computers and Concrete
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• 제20권6호
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• pp.689-704
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• 2017

The paper presents experimental and numerical investigations of prefabricated composite structural building reinforced concrete slabs with the insulating material for a residential building construction. The building slabs were composed of concrete and expanded polystyrene. In experiments, the slabs in the full-scale 1:1 were subjected to vertical concentrated loads and failed along a diagonal shear crack. The experiments were numerically evaluated using the finite element method based on two different constitutive continuum models for concrete. First, an elasto-plastic model with the Drucker-Prager criterion defined in compression and with the Rankine criterion defined in tension was used. Second, a coupled elasto-plastic-damage formulation based on the strain equivalence hypothesis was used. In order to describe strain localization in concrete, both models were enhanced in the softening regime by a characteristic length of micro-structure by means of a non-local theory. Attention was paid to the formation of critical diagonal shear crack which was a failure precursor.

• Structural Engineering and Mechanics
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• 제14권4호
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• pp.455-472
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• 2002

The paper involves the study on the elastic and elasto-plastic stress wave propagation in the 1-D and 2-D solid media. The Smooth Particle Hydrodynamics equations governing the elastic and elasto-plastic large deformation dynamic response of solid structures are presented. The proposed additional stress points are introduced in the formulation to mitigate the tensile instability inherent in the SPH approach. Both incremental rate approach and leap-frog algorithm for time integration are introduced and the new solution algorithm is developed and implemented. Two examples on stress wave propagation in aluminium bar and 2-D elasto-plastic steel plate are included. Results from the proposed SPH approach are compared with available analytical values and finite element solutions. The comparison illustrates that the stress wave propagation problems can be effectively solved by the proposed SPH method. The study shows that the SPH simulation is a reliable and robust tool and can be used with confidence to treat transient dynamics such as linear and non-linear transient stress wave propagation problems.

• 한국농공학회논문집
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• 제49권4호
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• pp.43-49
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• 2007

The reinforced concrete slab is one of main structure members in the construction industry sector. However, most of researches regarding to RC slabs have been focused on two-dimensional Mindlin-type plate element on the basis of laminated plate theory since three-dimensional solid element has a lot of difficulties in finite element formulation and costs in CPU time. In reality, the RC slabs are subjected to dynamic loads like a heavy traffic vehicle load, and thus should insure the safety from the static load as well as dynamic load. Once we can estimate the dynamic behaviour of RC slabs exactly, it will be very helpful for design of it. In this study, the 20-node solid element has been used to analyze the dynamic characteristics of RC slabs with clamped edges. The elasto-visco plastic model for material non-linearity and the smeared crack model have been adopted in the finite element formulation. The applicability of the proposed finite element has been tested for dynamic behaviour of RC slabs with respect to characteristics of concrete materials in terms of cracking stress, crushing strain, fracture energy and Poisson's ratio. The effect on dynamic behaviour is dependent on not crushing strain but cracking stress, fracture energy and Poisson's ratio. In addition to this, it is shown the damping phenomenon of RC slabs has been identified from the numerical results by using Rayleigh damping.