Limit Analysis based on Lower-bound Solutions and Nonlinear Yield Criteria

2009 ◽  
Author(s):  
K. Krabbenhoft ◽  
L. Damkilde
Keyword(s):  
Lower Bound ◽  
Limit Analysis ◽  
Yield Criteria

Lower bound limit analysis of slabs with nonlinear yield criteria

2002 ◽  
Vol 80 (27-30) ◽  
pp. 2043-2057 ◽  
Author(s):  
Kristian Krabbenhoft ◽  
Lars Damkilde
Keyword(s):  
Lower Bound ◽  
Limit Analysis ◽  
Yield Criteria ◽  
Lower Bound Limit Analysis

Efficient Tubesheet Design Using Repeated Elastic Limit Analysis Technique

2000 ◽  
Vol 123 (2) ◽  
pp. 197-202 ◽  
Author(s):  
W. D. Reinhardt ◽  
S. P. Mangalaramanan
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Lower Bound ◽  
Limit Analysis ◽  
Yield Criterion ◽  
Elastic Analysis ◽  
Collapse Load ◽  
Element Analysis ◽  
Simple Method ◽  
Yield Criteria

Conventional analysis of tubesheets in nuclear steam generators involves elastic analysis of a solid plate with equivalent properties. It has recently been recognized that alternate design techniques such as inelastic finite element analysis would lead to substantial cost reductions in material and manufacturing. Due to the anisotropy, arriving at yield criteria for an equivalent solid tubesheet is more complicated than for an isotropic solid. In addition, applying plastic finite element analysis in design is significantly more complex and time-consuming than elastic analysis. This paper proposes a relatively simple method to perform tubesheet collapse analysis. An anisotropic yield criterion is applied in conjunction with the classical lower-bound theorem of limit analysis and repeated elastic analyses involving elastic modulus modification. Two yield criteria are examined, namely Hill’s yield criterion and a recently suggested compressible fourth-order yield function. The collapse load predictions of the lower-bound equivalent solid methods are compared with the elastic-plastic finite element collapse load of the equivalent solid and of the actual perforated tubesheet.

Numerical Limit Analysis of Slab Bridges with Construction Joints

2018 ◽  
Author(s):  
Thomas Westergaard Jensen ◽  
Linh Cao Hoang
Keyword(s):  
Carrying Capacity ◽  
Limit Analysis ◽  
Concrete Slabs ◽  
Load Carrying Capacity ◽  
Layer Model ◽  
Yield Criteria ◽  
Reinforced Concrete Slabs ◽  
Load Carrying ◽  
Construction Joints

The conic yield criteria for reinforced concrete slabs in bending are often used when evaluating the load‐carrying capacity of slab bridges. In the last decades, the yield criteria combined with numerical limit analysis have shown to be efficient methods to determine the load carrying capacity of slabs. However, the yield criteria overestimate the torsion capacity of slabs with high reinforcement ratios and it cannot handle slabs with construction joints. In this paper, numerical limit analysis with the conic yield criteria are compared with yield criteria based on an optimized layer model. The analysis show an increasing overestimation of the load carrying capacity for increasing reinforcement degrees. Furthermore, yield criteria, which combine the conic yield criteria with an extra linear criterion due to friction, are presented for slab bridges with construction joints. The yield criteria for slabs with construction joints are used, in combination with limit analysis, to evaluate a bridge constructed of pre‐cast overturned T‐beams and in‐situ concrete. The analysis show that the load carrying capacity is overestimated, when the construction joints are not considered in the yield criteria.

scholarly journals A Numerical Method for the Limit Analysis of General Shells of Revolution : 2nd Report, Lower Bound Method

1978 ◽  
Vol 21 (151) ◽  
pp. 13-19
Author(s):  
Hiroshi NAKANISHI ◽  
Megumu SUZUKI ◽  
Minoru HAMADA
Keyword(s):  
Lower Bound ◽  
Numerical Method ◽  
Limit Analysis ◽  
Shells Of Revolution
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