TY - JOUR

T1 - Fully plastic analyses for notched bars and plates using finite element limit analysis

AU - Kim, Yun Jae

AU - Oh, Chang Kyun

AU - Myung, Man Sik

AU - Park, Jin Moo

N1 - Funding Information:
This research performed under the program of Basic Atomic Energy Research Institute (BAERI) that is a part of the Nuclear R&D Programs funded by the Ministry of Science & Technology (MOST) of Korea.

PY - 2006/9

Y1 - 2006/9

N2 - In the present work, fully plastic analyses for notched bars and (plane strain) plates in tension are performed, via finite element (FE) limit analysis based on non-hardening plasticity, from which plastic limit loads and stress fields are determined. Relevant geometric parameters are systematically varied to cover all possible ranges of the notch depth and radius. For the limit loads, it is found that the FE solutions for the notched plate agree well with the existing solution. For the notched bar, however, the FE solutions are found to be significantly different from known solutions, and accordingly the new approximation is given. Regarding fully plastic stress fields, it is found that, for the notched plate, the maximum hydrostatic (mean normal) stress overall occurs in the center of the specimen, which strongly depends on the relative notch depth and the notch radius-to-depth ratio. On the other hand, for the notched bar, the maximum hydrostatic stress can occur in between the center of the specimen and the notch tip. The maximum hydrostatic stress for a given notch depth can occur not for the cracked case, but for the notched case with a certain radius. This is true for both bars and plates. For a given notch radius, on the other hand, the maximum hydrostatic stress increases monotonically with the decreasing notch radius.

AB - In the present work, fully plastic analyses for notched bars and (plane strain) plates in tension are performed, via finite element (FE) limit analysis based on non-hardening plasticity, from which plastic limit loads and stress fields are determined. Relevant geometric parameters are systematically varied to cover all possible ranges of the notch depth and radius. For the limit loads, it is found that the FE solutions for the notched plate agree well with the existing solution. For the notched bar, however, the FE solutions are found to be significantly different from known solutions, and accordingly the new approximation is given. Regarding fully plastic stress fields, it is found that, for the notched plate, the maximum hydrostatic (mean normal) stress overall occurs in the center of the specimen, which strongly depends on the relative notch depth and the notch radius-to-depth ratio. On the other hand, for the notched bar, the maximum hydrostatic stress can occur in between the center of the specimen and the notch tip. The maximum hydrostatic stress for a given notch depth can occur not for the cracked case, but for the notched case with a certain radius. This is true for both bars and plates. For a given notch radius, on the other hand, the maximum hydrostatic stress increases monotonically with the decreasing notch radius.

KW - Finite element limit analysis

KW - Limit load

KW - Notched bar

KW - Notched plate

KW - Stress triaxiality

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U2 - 10.1016/j.engfracmech.2006.02.011

DO - 10.1016/j.engfracmech.2006.02.011

M3 - Article

AN - SCOPUS:33745025798

SN - 0013-7944

VL - 73

SP - 1849

EP - 1864

JO - Engineering Fracture Mechanics

JF - Engineering Fracture Mechanics

IS - 13

ER -