• Restorative Dentistry and Endodontics
• /
• 제19권2호
• /
• pp.345-371
• /
• 1994

Restorative procedures can lead to weakening tooth due to reduction and alteraton of tooth structure. It is essential to prevent fractures to conserve tooth. Among the several parameters in cavity designs, cavity isthmus and depth are very important. In this study, MO amalgam cavity was prepared on maxillary first premolar. Three dimensional. finite element models were made by serial photographic method and cavity depth(1.7mm, 2.4mm) and isthmus (11 4, 1/3, 1/2 of intercuspal distance) were varied. linear, eight and six-nodal, isoparametric brick elements were used for the three dimensional finite element model. The periodontal ligament and alveolar bone surrounding the tooth were excluded in these models. Three types model(B, G and R model) were developed. B model was assumed perfect bonding between the restoration and cavity wall. Both compressive and tensile forces were distributed directly to the adjacent regions. G model(Gap Distance: 0.000001mm) was assumed the possibility of play at the interface simulated the lack of real bonding between the amalgam and cavity wall (enamel and dentin). When compression occurred along the interface, the forces were transferred to the adjacent regions. However, tensile forces perpendicular to the interface were excluded. R model was assumed non-connection between the restoration and cavity wall. No force was transferred to the adjacent regions. A load of 500N was applied vertically at the first node from the lingual slope of the buccal cusp tip. This study analysed the displacement, von Mises stress, 1 and 2 direction normal stress and strain with FEM software ABAQUS Version 5.2 and hardware IRIS 4D/310 VGX Work-station. The results were as follows: 1. G model showed stress and strain patterns between Band R model. 2. B model and G model showed the bending phenomenon in the displacement. 3. R model showed the greatest amount of the displacement of the buccal cusp followed by G and B model in descending order. G model showed the greatest amount of the displacement of the lingual cusp followed by B and R model in descending order. 4. B model showed no change of the displacement as increasing depth and width of the cavity. G and R model showed greater displacement of the buccal cusp as increasing depth and width of the cavity, but no change in the displacement of the lingual cusp. 5. As increasing of the width of the cavity, stress and strain were not changed in B model. Stress and strain were increased on the distal marginal ridge and buccopulpal line angle in G and R model. The possibility of the tooth fracture was increased. 6. As increasing of the depth of the cavity, stress and strain were not changed in B and G model. Stress and strain were increased on the distal marginal ridge and buccopulpal line angle in R model. The possibility of the tooth fracture was increased.

• 대한토목학회논문집
• /
• 제13권2호
• /
• pp.95-109
• /
• 1993

본(本) 연구(研究)에서는 Mode분할기법(分割技法)을 이용(利用)하여 아치구조물(構造物)의 형상최적화(形狀最適化)를 시도(試圖)하였다. 본(本) 연구(研究)에서는 아치리브를 유한개(有限個)의 직선부재(直線部材)로 구성(構成)되어 있는 것으로 하고 상관방정식(相關方程式)과 허용응력(許容應力) 및 좌굴제약(挫屈制約)까지 포함(包含)하여 2골절(滑節)아치와 양단고정(兩端固定)아치의 형상(形狀)을 최적화(最適化)할 수 있도록 최적화(最適化) 문제(問題)를 형성(形成)하였다. 본(本) 연구(研究)의 제(第) 1단계(段階)(level 1)에서는 다른 연구(研究)와 달리 근사화(近似化)한 아치구조물(構造物)의 강성도행렬(剛性度行列)(stiffness matrix)과 기하강성도행렬(幾何剛性度行列)(geometric stiffness matrix)관계(關係)로부터 Ray leigh-Ritz법(法)으로 좌굴하중(挫屈荷重)을 구(求)하고, 설계공간법(設計空間法)에 의한 감도해석(感度解析)으로 부재력(部材力)을 근사화(近似化)함으로써 구조해석수(構造解析數)를 줄일 수 있었다. 목적함수(目的凾數)는 구조물(構造物)의 중량(重量)이 최소(最小)가 되도록 중량함수(重量凾數)로 택(擇)하였다. 제약조건식(制約條件式)으로는 허용응력(許容應力), 좌굴응력(挫屈應力) 및 설계변수( 設計變數) 상(上) 하한치제약(下限値制約)을 부과(附課)하여 최적화문제(最適化問題)를 형성(形成)하였다. 제(第) 2단계(段階)(level 2)에서는 설계변수(設計變數) 및 조정변수(調整變數)를 절점좌표(節點座標)로 하고 목적함수(目的凾數)로는 중량함수(重量凾數)로 하여 최적화(最適化) 문제(問題)를 형성(形成)하였다. 절점좌표(節點座標)만을 설계변수(設計變數)로 함으로써 무제약최적화문제(無制約最適化問題)로 형성(形成)되므로 최적화(最適化) 과정(過程)이 용이(容易)하다. 본(本) 연구(研究)의 알고리즘을 아치구조물(構造物)에 적용(適用)한 결과(結果) 본(本) 연구(研究)는 아치구조물(構造物)의 형태(形態), 제약조건식(制約條件式)에 구애(拘碍)받지 않고 최적해(最適解)에 효율적(效率的)으로 수렴(收斂)하였고 아치구조물(構造物)의 최적형상(最適形狀)은 제약조건식(制約條件式)에 따라 상이(相異)하였으며 중량(重量)은 제약조건식(制約條件式) 및 아치의 형상(形狀)에 따라 다소(多少)의 차이(差異)는 있으나 형상최적화(形狀最適化)로 17.7%-91.7%까지 감소(減少)시킬 수 있다.