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"Size effect on structural strength is normally understood as the effect of the characteristic structure size on the nominal strength of the structure when geometrically similar structures are compared. Fracture test are usually conducted on relatively small specimen and them this information is extrapolated to large structures. The question is that are we able to reproduce the size effect in the modern numerical techniques. Numerical calculations by computational code based on finite element have been done. The results show that in order to produce a size effect, it is necessary to use a regularization method."

"Size effect on structural strength is normally understood as the effect of the characteristic structure size on the nominal strength of the structure when geometrically similar structures are compared. Fracture test are usually conducted on relatively small specimen and them this information is extrapolated to large structures. The question is that are we able to reproduce the size effect in the modern numerical techniques. Numerical calculations by computational code based on finite element have been done. The results show that in order to produce a size effect, it is necessary to use a regularization method."

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ABSTRACTThe aim of this research is to reproduce the experimental result using finite element approach with damage model coupled to creep. The calibration of coupling between creep and local damage model associated with size effect law proposed by Bazant are presented in this thesis. Its behavior was investigated through two kinds of studies, the loading rate effect and residual capacity test. Three different sizes of beam, which are geometrically similar specimens, were simulated in three point bending test and creep test divided into load level test and residual capacity test. Numerical simulation was doneusing existing finite element code Aster_ Code developed by EDF (Eiectricite de France) for coupling between local damage based on bi-linear elasto-damage model and creep based on Benboudjema theory. Result show that the finite element code is capable to reproduce the experimental result qualitatively. The interaction between creep and local damage is shown through size effect plot by giving the behavior shift to the right, which means that the materials become more brittle when creep appears.
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"ABSTRACT This study explores the flypaper effect in Indonesia using a spatial approach. Covering data from 2000-2014, the paper shows that grants stimulate overspending by local governments even though spatial interdependence is carefully treated. The elasticity of lump sum grants to expenditure is stronger than the elasticity of matching grants. Further, the elasticity of lump sum grant is greater on routine expenditure, which shows the over-dependency of local governments to lump-sum grant. The over-dependency phenomenon has not changed a lot even after a major change of lump-sum grant formulation being applied by the 2004 decentralization law package."

"Sebagai karakter yang mengakibatkan variabilitas properti mekanis, sifat heterogenitas beton perlu dipertimbangkan karena mempengaruhi perilaku material. Salah satu metode untuk memperhitungkan sifat tersebut adalah random field yang digenerasi dengan Turning Band Method (TBM) pada aplikasi berbasis finite element, Cast3M. Objek pemodelan pada penelitian ini adalah beton polos berukuran 15 x 15 x 15 cm3, beton polos 10 x 10 x 50 cm3, dan beton dengan tulangan tunggal 10 x 10 x 50 cm3. Studi numerik dilakukan dengan mengaplikasikan beban tekan pada setiap sampel kubus dan beban tarik pada sampel balok. Model kerusakan Mazars diimplementasikan untuk mempelajari perilaku keruntuhan pada masing-masing sampel terhadap variasi parameter ukuran mesh dan panjang korelasi. Hasil pemodelan menunjukkan bahwa penggunaan TBM sangat berpengaruh pada pola keruntuhan dari setiap sampel. Parameter ukuran mesh dan panjang korelasi memiliki pengaruh yang signifikan terhadap propagasi dan sensitivitas kerusakan serta estimasi properti mekanis. Pemodelan dengan ukuran mesh 1 cm dan 2,5 cm terhadap masing-masing panjang korelasi menghasilkan pola keruntuhan yang bervariasi. Perbandingan hasil pemodelan beton polos 15 x 15 x 15 cm3 yang diuji tekan dengan studi eksperimental menunjukkan bahwa pola keruntuhan dengan mesh 1 cm mendekati kerusakan pada sampel pengujian. Sedangkan, perbandingan hasil pemodelan beton tulangan tunggal 10 x 10 x 50 cm3 dengan sampel pengujian di laboratorium menunjukkan bahwa penggunaan panjang korelasi 1 cm dan 3 cm memiliki pola kerusakan yang memiliki kemiripan masing-masing terhadap sampel ER1 dan ER2.

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As a character that results in the variability of mechanical properties, the heterogeneity of concrete needs to be considered because it affects the behavior of the material. One of the methods to take into account these properties is a random field that is generated by the Turning Band Method (TBM) on a finite element based application, Cast3M. The modeling objects in this study were plain concrete with dimension of 15 x 15 x 15 cm3, plain concrete 10 x 10 x 50 cm3, and concrete with single reinforcement 10 x 10 x 50 cm3. Numerical studies were carried out by applying compressive loads to the cube sample and tensile loads to the beam samples. The Mazars damage model is implemented to study the damage behavior of each sample with varying parameters of mesh dimension and correlation length. The modeling results show that the use of TBM greatly influences the failure pattern of each sample. Parameters of mesh size and correlation length have a significant effect on the propagation and damage sensitivity as well as the estimation of mechanical properties. Modelling with 1 cm and 2.5 cm size of mesh for each correlation length produces a variety of damage patterns. Comparison of modelling results of plain concrete 15 x 15 x 15 cm3 tested in compression with experimental studies reveals that the pattern of failure with a mesh of 1 cm is close to the damage in the laboratory test sample. Meanwhile, a comparison of the results of the 10 x 10 x 50 cm3 single-reinforced concrete modelling with samples tested in the laboratory indicates that the use of a correlation length of 1 cm and 3 cm has a pattern of damage that has similarities to the ER1 and ER2 samples, respectively."

"Penelitan ini membahas tentang heterogenitas pada material beton dan dampaknya terhadap sifat mekanisnya yang sering diabaikan dalam melakukan pemodelan beton. Penelitian ini berfokus pada efek dari variabilitas dan dimensi, khususnya dalam damage model dan retak pada beton. Pemodelan ini menggunakan software FE dan mengaplikasikan Mazars Damage Model. Untuk menghasilkan variabilitas kerusakan pada beton, digunakan generator random field yang disebut Turning Band Method (TBM). Beberapa sampel kubus beton polos berukuran 15 x 15 x 15 cm³, 20 x 20 x 20 cm³, dan beton bertulang dengan sampel pull-out 20 x 20 x 20 cm³ dimodelkan dengan uji tarik dengan memvariasikan ukuran mesh dan panjang korelasi untuk mengamati pola kerusakannya. Hasil pada sampel kubus beton polos menunjukkan bahwa ukuran mesh yang lebih kecil yaitu 1 cm menyebabkan distribusi retakan yang lebih bervariasi dibandingkan dengan ukuran mesh 2.5 cm. Selain itu, panjang korelasi yang lebih kecil menghasilkan penyebaran microcracks di semua sisi sampel beton, sedangkan panjang korelasi yang lebih besar retak terlokalisasi di bagian-bagian tertentu. Hasil pada beton bertulang dengan sampel pullout menunjukkan bahwa Random Field-Turning Band Method tidak berpengaruh secara signifikan untuk memprediksi pola retak dan kerusakan pada beton.

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This study addresses the heterogeneity of concrete material and its impact on mechanical properties, which is often overlooked in concrete modeling. It focuses on the effects of variability and dimension, particularly in damage and concrete cracking modeling. This research applies concrete variability in a FE using Mazars Damage Model to govern the behavior law. To capture the variability of concrete damage, a random field generator called the Turning Band Method is used. Some plain concrete cube sample of 15 x 15 x 15 cm³, 20 x 20 x 20 cm³, and reinforced concrete of pull-out sample of 20 x 20 x 20 cm³ are modelled under tension test, varying the mesh size and length correlation to observe the damage response. The results in plain concrete cube samples show that a smaller mesh size of 1 cm leads to a more varied distribution of cracks compared to a mesh size of 2.5 cm. Moreover, a smaller correlation length causes the spread of microcracks on all sides of the concrete sample, whereas a larger correlation length localizes in certain areas. The results in reinforced concrete of pull-out sample show that the TBM has no significant effect to predict crack and damage response."

"A new approach is developed to the nonlinear analysis of reinforced concrete beams without stirrups subjected to a monotonically increasing loading from zero up tu the ultimate load

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