Stress Field Method for Limit Analysis

2020 ◽  
pp. 79-114
Author(s):  
Chuanzhi Huang
Keyword(s):  
Stress Field ◽  
Limit Analysis ◽  
Field Method

fib Bulletin 100. Design and assessment with strut-and-tie models and stress fields: from simple calculations to detailed numerical analysis.

2021 ◽  
Author(s):  
Miguel Filipe Passos Sério Lourenço ◽  
Miguel Fernández Ruiz ◽  
Stein Atle Haugerud ◽  
Johan Blaauwendraad ◽  
Stathis Bousias ◽  
...  
Keyword(s):  
Stress Field ◽  
State Of The Art ◽  
Field Method ◽  
National Standards ◽  
Stress Fields ◽  
Theoretical Ground ◽  
Rigid Plastic ◽  
Model Code ◽  
Strut And Tie ◽  
Model Code 2010

Following the long-standing tradition of fib in promoting the use of consistent design methods, strut-and-tie models were formally incorporated in Model Code 1990 to serve as the design basis for discontinuity regions. This choice was largely acknowledged as a sound approach for design and was thereafter followed in many national standards. For Model Code 2010, some update and revision of the previous provisions was performed, but the scope of the method was particularly broadened by introducing its complementary use with the stress field method. Since Model Code 2010, significant new knowledge has been generated in this topic. Particularly, the use of software implementing the theoretical ground of the stress field method is becoming increasingly popular and efficient, allowing for design, optimisation and assessment of structures in a simple, transparent and accessible manner. In this Bulletin, the current state-of-the-art of the strut-and-tie models (STM) and the stress field models (SFM) is presented. Reference is not only made to classical rigid-plastic solutions, but also to solutions considering compatibility of deformations, such as elastic-plastic approaches or models allowing investigation of serviceability behaviour and deformation capacity of concrete structures. It is shown in the Bulletin that all models share the same ground and fundamental hypotheses. Their results are presented in a unitary and consistent manner by means of compression fields in the concrete and stresses in the reinforcement. The consistency amongst these approaches and their potential use in practice is also explored by means of the Levels-of-Approximation (LoA) approach as described in Model Code 2010. Another effort in this Bulletin has been devoted to provide comparisons of the solutions according to strut-and-tie and stress fields to tests, in order to discuss on their pertinence and limitations. This perspective is also completed with practical examples presented of structures actually designed with this technique and where the potential of these methods can be appreciated in a clear manner. Finally, a number of special topics are also covered in the Bulletin, related to numerical optimisation, verifications at serviceability states, minimum reinforcement or the applicability of the methods under cyclic or reversal actions. This Bulletin not only aims to give state-of-the-art rules and methods to design according to these techniques, but also to provide an outlook of how these methods could be implemented in future standards. This material also serves as the background document for the revision of the current provisions of Model Code 2010 in the new Model Code 2020.

Verification and Validation of Corbels Strengthened by Unbonded Tendons and Bars

2020 ◽  
Vol 309 ◽  
pp. 157-162
Author(s):  
Lukáš Bobek ◽  
Lukáš Juříček ◽  
Michal Číhal ◽  
Jaromír Kabeláč ◽  
Michael Konečný
Keyword(s):  
Reinforced Concrete ◽  
Stress Field ◽  
Experimental Validation ◽  
Field Method ◽  
Load Bearing Capacity ◽  
Concrete Members ◽  
Unbonded Tendons ◽  
Independent Analysis ◽  
Real Behavior ◽  
Stiffening Effect

Reinforced corbels are frequently used in industrial halls. A number of existing corbels are prestressed by unbonded tendons or bars in order to increase their load-bearing capacity, decrease the deflections and restrain cracks spreading. The goal of the project was experimental validation of the reinforced concrete corbel strengthened using unbonded tendons via CSFM (Compatible Stress Field Method). The method is based on materially nonlinear calculation considering the tension stiffening effect of rebars and compression softening of concrete. These effects and other assumptions implemented in CSFM capture real behavior of reinforced concrete members. Besides, CSFM is verified using an independent analysis, which is based on similar assumptions as those in Compatible Stress Field Method.

Bi-Velocity Phase Field Method

2013 ◽  
Vol 333 ◽  
pp. 83-89
Author(s):  
Bartek Wierzba ◽  
Marek Danielewski ◽  
Andrzej Nowotnik ◽  
Jan Sieniawski
Keyword(s):  
Stress Field ◽  
Phase Field ◽  
Life Time ◽  
Field Method ◽  
Phase Field Method ◽  
Phase Zone ◽  
Two Phase ◽  
Gradient Coatings ◽  
Interdiffusion Coefficients ◽  
Kinetics Of

In this paper we couple the bi-velocity with the phase field method. It deals with: (1) the different mobility of the components in the two-phase zone; (2) nonzero steps of molar volumes for each component from phase to phase and (3) the composition dependent interdiffusion coefficients. The method allows to determine the average stress field during the diffusion process, the kinetics of the reactions and estimate the entropy production. The paper presents the numerical computations of diffusion in th eNiAlCr system. The results can serve as a basis in designing gradient coatings of extended life time.

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