• 소성∙가공
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• 제13권1호
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• pp.15-20
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• 2004

본 연구에서는 자동차용 판재 성형시 발생하는 스프링백을 정확히 예측하기 위하여, 수정된Chaboche형에 기초한 혼합형 등방-이동경화규칙이 개발되었다. 또한 판재의 이방성을 위하여 최근 개발된 Barlat의 YId2000-24 비이차 비이방성 항복 함수가 이용되었다. 단순인장실험과 인장/압축(압축/인장) 실험에 의하여 Bauschinger 및 transient 거동과 비이방성이 측정되었으며, 유한요소해석에 의한 구성방정식의 검증을 위해 실제 자동차 부품을 부분 변형시킨 double S-rail이 제작되었다. 수정된 Chaboche 형 조성방정식과 비등방 항복함수를 적용한 유한요소에 의한 수치해석의 결과는 굽힘에 의한 스프링백과 비틀림에 있어서 실험과 잘 일치함을 알 수 있었다.

• 한국복합재료학회:학술대회논문집
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• 한국복합재료학회 2003년도 추계학술발표대회 논문집
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• pp.75-78
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• 2003

In order to describe the Bauschinger and transient behavior of orthotropic fiber-reinforced composites, a combined isotropic-kinematic hardening law based on the non-linear kinematic hardening rule was considered here, in particular, based on the Chaboche type law. In this modified constitutive law, the anisotropic evolution of the back-stress was properly accounted for. Also, to represent the orthotropy of composite materials, Hill's 1948 quadratic yield function and the orthotropic elasticity constitutive equations were utilized. Furthermore, the numerical formulation to update the stresses was also developed based on the incremental deformation theory for the boundary value problems. Numerical examples confirmed that the new law based on the anisotropic evolution of the back-stress complies well with the constitutive behavior of highly anisotropic materials such as fiber-reinforced composites.

• 소성∙가공
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• 제15권8호
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• pp.533-538
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• 2006

A simplified numerical procedure to predict drawbead restraining forces(DBRF) has been developed based on the hybrid membrane/bending method which superposes bending effects onto membrane solutions. As a semi-analytical method, the new approach is especially useful to analyze the effects of various constitutive parameters. The present model can accommodate general anisotropic yield functions along with non-linear isotropic-kinematic hardening under the plane strain condition. For the preliminary results, several sensitivity analyses for the process and material effects such as friction, drawbead depth, hardening behavior including the Bauschinger effect and yield surface shapes on the DBRF are carried out.

• 대한기계학회논문집
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• 제15권2호
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• pp.413-423
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• 1991

Multiaxial loading by combinations of tension-torsion-internal pressure have been applied to the thins-walled tubular specimens prepared from cold drawn tubes of SAE 1020 steel. Prior to the multiaxial loading, each specimen has been twisted to different shear strains. Uniaxial tensile yield stresses measured at different angles to the tube axis clearly show that the initial orthotropic symmetry is maintained during twisting. The orthotropy axes are observed to rotate with shear strains. The plane stress yield locus measured for each twisted specimens show that yield surface shape does not remain similar during twisting and thus anisotropic work hardening is not a function of only plastic work.

• 소성∙가공
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• 제32권3호
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• pp.136-144
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• 2023

This study analyzed the mechanical behavior of lithium-ion battery pouch material and predicted its formability. A homogenization method was used to evaluate the physical properties of the pouch, and a new hardening model was developed. The yield function for the plastic model was optimized, and the anisotropic property was determined. Also, the forming limits were measured and predicted using the M-K forming limit diagram. Finally, a square cup drawing experiment confirmed the accuracy of the measured mechanical properties and the formability calculation.

• 소성∙가공
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• 제8권3호
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• pp.252-261
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• 1999

The 3-dimensional finite element program is developed to analyze the non-isothermal forming processes of aluminum-alloy sheet metals. Bishop's method is introduced to solve the heat balance and force equilibrium equations. Also, Barlat's non-quadratic anisotropic yield function depicts the planar anisotropy of the aluminum-alloy sheet. To find an appropriate constitutive equation, four different forms are reviewed. For the verification of the reliability of the developed program, the computational try-outs of the non-isothermal cylindrical cupping processes of AL5052-H32 and Al1050-H16 are carried out. As results, the constitutive equation relating to strain and strain-rate, in which the constants are represented by the 5th-degree polynomials of temperature, is in good agreement with measurement. The computational try-outs can predict optimal forming conditions in non-isothermal forming processes.

• 소성∙가공
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• 제20권8호
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• pp.527-533
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• 2011

In order to take into account the strong anisotropy and the tension-compression asymmetry of AZ31 sheet alloy, the Cazacu-Plunkett-Barlat yield criterion(Cazacu, 2006), CPB06, was adopted in the present material modeling. The variation of anisotropic coefficients which describe the yield surface evolution of AZ31 is optimized using an interpolation function based on specific calibration results. It generates continuous yield surfaces, which makes it possible to describe the different hardening rates in tension and compression as well as tension-compression asymmetry of magnesium alloys. The ability of the CPB06 yield criterion to predict experimental results was demonstrated and compared with that of the Hill(1948) yield criterion.

• 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.

• 한국지반공학회지:지반
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• 제10권3호
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• pp.17-32
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• 1994

역재하시에 나타나는 흙의 비등방거동을 모델하기 위하여, 본 연구에서는 일반 등방경화규칙에 근거한 비등방 경화이론을 개발하였다. 일반 등방규칙은 등방경화의 기준이 되는 중심응력텐서가 임의의 응력상태에서 존재할 수 있도록 허용하므로, 역재하과정에서 발생하는 소성변형을 예측할 수가 있다. 제안된 구성모델은 단순한 경화함수만을 이용하여 수식화되었고, 일반등방경 화규칙에 적용된 개념을 기존의 비등방경화규칙과 비교하여 서술하였다. 검증을 위하여, 배수 및 비배수조건, 과압밀상태, Ko 압밀등의 초기조건이 상이한 점토에 대하여 관측된 삼축압축시료의 거동을 예측하였다.

• 대한기계학회논문집A
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• 제36권9호
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• pp.997-1002
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• 2012

수송기기의 연비향상과 에너지 절감을 위하여 자동차 업계를 비롯한 각종 산업 전반에 마그네슘 합금의 적용이 확대되고 있는 추세이다. 조밀육방 격자 구조(HCP)를 갖는 마그네슘 합금의 경우, 낮은 성형성과 강한 소성 비대칭성 및 소성 이방성으로 인하여 실제 부품의 적용에 많은 제약조건이 수반되고 있다. 본 논문에서는 CPB06 항복함수를 이용하여 AZ31의 인장-압축 비대칭성을 모델링하고 이를 이용하여 AZ31 튜브의 압괴해석을 수행하고자 하였다.