Plastic Limit of Structures and Energy Principles

2015 ◽  
Vol 24 (1) ◽  
pp. 165-187
Author(s):  
Ioannis Doltsinis
Keyword(s):  
Plastic Limit ◽  
Energy Principles

Pengaruh Penambahan Abu Kayu Dan Abu Bambu Terhadap Kepadatan Tanah Lempung

2020 ◽  
Vol 3 (2) ◽  
pp. 191
Author(s):  
Vella Maulina Kris Putri ◽  
Agata Iwan Candra ◽  
Ahmad Ridwan
Keyword(s):  
Surface Runoff ◽  
Clay Soil ◽  
Wood Ash ◽  
Road Surface ◽  
Plastic Limit ◽  
Test Items ◽  
Native Soil

The soil has an important role in construction, namely as the loading of soil on clay. It is necessary to improve the nature of the shrinkage. The authors conducted the study to increase the strength of clay by adding wood ashes and bamboo ashes. Wood ash and bamboo ash have pozzolan properties expected to add power to clay when weighted, would drop significantly.  Material compares in this study using a mix of wood ash and bamboo ash with a variation of 0%, 4%, 8%, and 12%. Meanwhile, the clay soil is taken directly from the ravaged area, from bulging villages, from the grid district. The results showed that the soil is categorized as montmorillonite soil with properties that can damage light structures and road surface runoff. After adding wood and bamboo ash, it showed optimum results of 12% of the dry fixed test items showing a liquid limit’s value at 41,00%, plastic limit at 28,43%, and the net value of plastic limit at 12,57%. When testing for solidification using native soil at a dry volume of 7,91, gr/cm rainfall can increase by 10,42 gr/cm additives after adding 12% of wood ash and bamboo ash.Tanah memiliki peran penting dalam konstruksi yaitu sebagai pembebanan tanah pada tanah liat. Perlu untuk memperbaiki sifat penyusutan. Penulis melakukan penelitian untuk meningkatkan kekuatan tanah liat dengan cara menambahkan abu kayu dan abu bambu. Abu kayu dan abu bambu memiliki sifat pozzolan yang diharapkan dapat menambah kekuatan pada tanah liat saat tertimbang, akan turun secara signifikan. Perbandingan material dalam penelitian ini menggunakan campuran abu kayu dan abu bambu dengan variasi 0%, 4%, 8%, dan 12%. Sementara itu, tanah lempung diambil langsung dari area yang rusak, dari desa-desa yang menggembung, dari grid distrik. Hasil penelitian menunjukkan bahwa tanah tersebut dikategorikan sebagai tanah montmorillonite dengan sifat yang dapat merusak struktur ringan dan aliran permukaan jalan. Setelah dilakukan penambahan abu kayu dan bambu didapatkan hasil optimum dari 12% benda uji tetap kering yang menunjukkan nilai batas cair 41,00%, batas plastis  28,43%,   dan   nilai   bersih   batas  plastis  12,57%.   Pada pengujian solidifikasi menggunakan tanah asli pada volume kering 7,91 gr / cm curah hujan dapat meningkat sebesar 10,42 gr / cm aditif setelah penambahan 12% abu kayu dan abu bambu.

scholarly journals Floor Heave Mechanism and Anti-Slide Piles Control Technology in Deep and Large-Span Chamber

2021 ◽  
Vol 11 (10) ◽  
pp. 4576
Author(s):  
Jian Shi ◽  
Desen Kong
Keyword(s):  
Model Test ◽  
Shear Failure ◽  
Deformation Mode ◽  
Control Technology ◽  
Plastic Limit ◽  
Large Span ◽  
Similarity Model ◽  
Floor Heave ◽  
Plastic Limit Analysis ◽  
Local Shear

Based on plastic limit analysis, the deformation and fracture mechanism of the floor in the large-span chambers of deep mines are discussed and a similarity model test is carried out to verify the reliability of the theoretical analysis. The results show that the local shear failure first appears below the loading area and develops to the middle part of the test model with the increase in load; when the local shear failure develops to form a continuous sliding surface, continuous plastic flow deformation occurs; the distribution of the plastic zone and the deformation mode obtained from the similarity model test are basically consistent with the Hill-like deformation mode derived from plastic limit analysis. A control technology with anti-slide piles is proposed in order to deal with floor heave in large-span chambers on the basis of previous work. An approach for determining the supporting parameters of anti-slide piles is deduced. To deal with the floor heave in the −1100 level gangue winch room of the Huafeng Coal Mine, a comprehensive reinforcement scheme with anti-slide piles composed of discarded rails and anti-floating anchors is introduced for the floor heave control of the chambers. Site monitoring results show that the scheme not only effectively restrains the development of floor heave, but also ensures the long-term stability of the chamber floor.

Plastic limit analysis with non linear kinematic strain hardening for metalworking processes applications

2011 ◽  
Vol 25 (11) ◽  
pp. 2859-2870 ◽  
Author(s):  
Ali Chaaba ◽  
Lahbib Bousshine ◽  
Mohamed Aboussaleh ◽  
Hassan El Boudaia
Keyword(s):  
Strain Hardening ◽  
Limit Analysis ◽  
Plastic Limit ◽  
Non Linear ◽  
Plastic Limit Analysis

scholarly journals RESIDUAL DISPLACEMENTS‘ PROGRESIVE ANALYSIS OF THE MULTISUPPORTED BEAM / DAUGIAATRAMĖS SIJOS LIEKAMŲJŲ POSLINKIŲ PROGRESINĖ ANALIZĖ

2014 ◽  
Vol 6 (5) ◽  
pp. 461-467 ◽  
Author(s):  
Liudas Liepa ◽  
Agnė Gervytė ◽  
Ela Jarmolajeva ◽  
Juozas Atkočiūnas
Keyword(s):  
Numerical Methods ◽  
Mathematical Models ◽  
Lower Bounds ◽  
Upper And Lower Bounds ◽  
Analysis Problem ◽  
Residual Displacements ◽  
Repeated Load ◽  
Energy Principles

This paper focuses on a shakedown behaviour of the ideally elasto-plastic beams system under variable repeated load. The mathematical models of the analysis problems are created using numerical methods, extremum energy principles and mathematic programming. It is shown that during the shakedown process the residual displacements vary non-monotonically. By solving analysis problem, where the load locus is being progressively expanded, it is possible to determine the upper and lower bounds of residual displacements. Suggested methods are ilustrated by solving multisupported beam example problem. The results are obtained considering principle of the small displacements. Nagrinėjamas idealiai tampriai plastinės lenkiamos strypinės sistemos prisitaikomumo būvis, veikiant kartotinei kintamajai apkrovai. Analizės uždavinių matematiniai modeliai sudaromi, pasitelkus skaitinius metodus, ekstreminius energinius principus ir matematinį programavimą. Parodoma, kad prisitaikant konstrukcijai jos liekamieji poslinkiai gali kisti nemonotoniškai. Išsprendus analizės uždavinį, kuriame progresyviai plečiama apkrovos veikimo sritis, galima nustatyti viršutines ir apatines liekamųjų poslinkių kitimo ribas. Siūloma metodika iliustruota daugiaatramės sijos liekamųjų poslinkių skaičiavimo pavyzdžiu. Rezultatai gauti, esant mažų poslinkių prielaidai.

scholarly journals Unified Solutions on Plastic Limit Internal Pressure for Metallic Elbows

2014 ◽  
Vol 46 (2) ◽  
pp. 282-288 ◽  
Author(s):  
Q. Zhu ◽  
J. H. Zhao ◽  
C. G. Zhang ◽  
Y. Li ◽  
S. Wang
Keyword(s):  
Internal Pressure ◽  
Plastic Limit

Shakedown and Limit Analysis of Kinematic Hardening Piping Elbows Under Internal Pressure and Bending Moments

2021 ◽  
Author(s):  
Heng Peng ◽  
Yinghua Liu
Keyword(s):  
Yield Strength ◽  
Internal Pressure ◽  
Limit Analysis ◽  
Kinematic Hardening ◽  
Limit Load ◽  
Bending Moments ◽  
Plastic Limit ◽  
Plastic Limit Load ◽  
Interaction Curves ◽  
Shakedown Limit

Abstract In this paper, the Stress Compensation Method (SCM) adopting an elastic-perfectly-plastic (EPP) material is further extended to account for limited kinematic hardening (KH) material model based on the extended Melan's static shakedown theorem using a two-surface model defined by two hardening parameters, namely the initial yield strength and the ultimate yield strength. Numerical analysis of a cylindrical pipe is performed to validate the outcomes of the extended SCM. The results agree well with ones from literature. Then the extended SCM is applied to the shakedown and limit analysis of KH piping elbows subjected to internal pressure and cyclic bending moments. Various loading combinations are investigated to generate the shakedown limit and the plastic limit load interaction curves. The effects of material hardening, elbow angle and loading conditions on the shakedown limit and the plastic limit load interaction curves are presented and analysed. The present method is incorporated in the commercial finite element simulation software and can be considered as a general computational tool for shakedown analysis of KH engineering structures. The obtained results provide a useful information for the structural design and integrity assessment of practical piping elbows.

The Effects of Classification of Misalignment-Induced Stresses in Engineering Critical Assessments of Welded Joints With Some Misalignment

2010 ◽  
Author(s):  
Liwu Wei
Keyword(s):  
Welded Joints ◽  
Driving Force ◽  
Limit Load ◽  
Surface Cracks ◽  
Plastic Limit ◽  
Secondary Stress ◽  
Butt Weld ◽  
Crack Driving Force ◽  
Plastic Limit Load

In the ECA of a structure or component such as a pipeline girth weld, the bending stress component arising from misalignment across the weld is often classified as primary, partly because standards such as BS 7910 and API 579-1/ASME FFS-1 do not give definitive guidance on this subject. This approach may be over-conservative as the σmis is localised. In order to obtain a more realistic assessment of the structural integrity of structures containing misalignment, it is necessary to understand the conservatism or non-conservatism in an ECA associated with the classification of σmis. To address the above concerns, systematic investigations were carried out of surface cracks in a plate butt-weld including some misalignment, external circumferential surface cracks and external fully circumferential cracks in a misaligned pipe connection. FEA of these cracked welded joints with some misalignment (typically from 1mm to 2mm) was performed to calculate crack driving force and plastic limit load. The results from FEA were compared with the existing solutions of KI and σref in BS 7910 generated by assuming three options of treating the σmis. The three options were: (1) classification of σmis wholly as primary stress; (2) 15% of σmis as primary and 85% of σmis as secondary stress; and (3) classification of σmis wholly as secondary stress. Variations in parameters (eg misalignment, crack size, loading, weld overmatch and base material properties) were taken into account in order to determine the effects of these parameters on plastic limit load and crack driving force. The implication of different classifications of σmis in terms of ECAs of misaligned welded joints was revealed by conducting BS 7910 Level 2B assessments with the use of a FAD. It was found in this work that for the cases examined, use of the σmis as entirely primary bending in an ECA was over-conservative, and even treatment of σmis as entirely secondary bending was generally shown to be still conservative, when compared with the assessments based on FEA solutions. Furthermore, caution should be exercised in using the solutions of KI and σref given in the existing BS 7910 for crack-containing structures subjected to a bi-axial or tri-axial stress state. A non-conservative estimate may result from the use of these solutions which have been derived based on a uniaxial stress condition.

scholarly journals Reliability Based Analysis and Optimum Design of Laterally Loaded Piles

2017 ◽  
Author(s):  
Majid Movahedi Rad
Keyword(s):  
Limit Analysis ◽  
Strain Energy ◽  
Load Capacity ◽  
Optimization Procedure ◽  
Load Parameter ◽  
Plastic Limit ◽  
Laterally Loaded Piles ◽  
Plastic Limit Analysis ◽  
Complementary Strain ◽  
Laterally Loaded

In this study reliability based limit analysis is used to determine the ultimate capacity of laterally loaded piles.  The aim of this study is to evaluate the lateral load capacity of free-head and fixed-head long pile when plastic limit analysis is considered. In addition to the plastic limit analysis to control the plastic behaviour of the structure, uncertain bound on the complementary strain energy of the residual forces is also applied. This bound has significant effect for the load parameter. The solution to reliability-based problems is based on a direct integration technique and the uncertainties are assumed to follow Gaussian distribution. The optimization procedure is governed by the reliability index calculation.

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