Experimental validation of a fracture model for pearlitic steel bars based on the cohesive zone model

Congreso internacional celebrado en Praga sobre modelos numéricos de fractura en el campo de la ciencia de materiales y estructuras.

Experimental validation of a fracture model for pearlitic steel bars based on the cohesive zone model

Steel is, together with concrete, the most widely used material in civil engineering works. Not only its high strength, but also its ductility is of special interest, since it allows for more energy to be stored before failure. A better understanding of the material behaviour before failure may lead to better structural safety strategies.

Simulación de la rotura de barras de acero perlítico sometidas a tracción mediante un modelo de fisura cohesiva. Validación experimental

Las probetas cilíndricas fabricadas con materiales metálicos de elevada ductilidad, como el aluminio o el cobre, sometidas a tracción suelen presentar una rotura comúnmente denominada rotura en copa y cono, debido a su geometría. Este tipo de rotura se reproduce numéricamente con éxito mediante el modelo de Gurson-Tvergaard- Needleman, cuya formulación matemática se basa en el fenómeno físico de nucleación, crecimiento y coalescencia de microhuecos. A diferencia de dichos materiales, las barras de acero perlítico, material con una ductilidad apreciable, presentan un frente de rotura plano que no puede simularse correctamente con los modelos antes mencionados, apareciendo una región interior de daño que, en principio, también puede atribuirse a un fenómeno de nucleación y crecimiento de microhuecos, mientras que en el exterior aparece una zona cuya micrografía permite asociar su rotura a un mecanismo de clivaje. En trabajos anteriores los autores han presentado un elemento de intercara cohesivo dependiente de la triaxialidad de tensiones que, incorporado a un código de elementos finitos, permite reproducir de forma razonable el daño que se desarrolla en la región interior mencionada. En este trabajo se presentan los resultados de una campaña experimental que permite validar el modelo desarrollado. Para ello, se ensayan probetas de diferentes diámetros y se comparan los resultados con los obtenidos numéricamente, empleando tres bases extensométricas diferentes en cada uno de los diámetros. Los resultados numéricos se ajustan razonablemente bien a los obtenidos experimentalmente.The cylindrical specimens made of high-ductility metallic materials, such as aluminium and copper, usually fail showing a fracture surface commonly known as cup-cone fracture because of its shape. This type of fracture is successfully reproduced using the Gurson-Tvergaard-Needleman model, which is based on the physical process of nucleation, growth and coalescence of microvoids. Unlike these materials, pearlitic steel bars, which are considerably ductile, show a flat fracture surface that cannot be correctly reproduced with the aforementioned models. In this flat fracture surface, a dark region can be observed in the centre of the specimen, which is the result of a process of nucleation and growth of microvoids, while in the rest of the fracture surface a different region can be identified, which a micrographic study reveals to be the result of a process of cleavage. In previous works, the authors presented a triaxiality-dependent cohesive interface element that, implemented in a finite element code, can reproduce in a reasonably accurate manner the damage that takes place in the dark region mentioned before. The results of an experimental campaign designed to validate the model are presented in this paper. For it, different diameter specimens are tested and these results are compared to those obtained with the numerical models, using three different initial lengths for the strain. Numerical results agree reasonably well with those obtained experimentally.

Simulación de la rotura de barras de acero perlítico sometidas a tracción mediante un modelo de fisura cohesiva. Validación experimental

Las probetas cilíndricas fabricadas con materiales metálicos de elevada ductilidad, como el aluminio o el cobre, sometidas a tracción suelen presentar una rotura comúnmente denominada rotura en copa y cono, debido a su geometría. Este tipo de rotura se reproduce numéricamente con éxito mediante el modelo de Gurson-Tvergaard- Needleman, cuya formulación matemática se basa en el fenómeno físico de nucleación, crecimiento y coalescencia de microhuecos. A diferencia de dichos materiales, las barras de acero perlítico, material con una ductilidad apreciable, presentan un frente de rotura plano que no puede simularse correctamente con los modelos antes mencionados, apareciendo una región interior de daño que, en principio, también puede atribuirse a un fenómeno de nucleación y crecimiento de microhuecos, mientras que en el exterior aparece una zona cuya micrografía permite asociar su rotura a un mecanismo de clivaje. En trabajos anteriores los autores han presentado un elemento de intercara cohesivo dependiente de la triaxialidad de tensiones que, incorporado a un código de elementos finitos, permite reproducir de forma razonable el daño que se desarrolla en la región interior mencionada. En este trabajo se presentan los resultados de una campaña experimental que permite validar el modelo desarrollado. Para ello, se ensayan probetas de diferentes diámetros y se comparan los resultados con los obtenidos numéricamente, empleando tres bases extensométricas diferentes en cada uno de los diámetros. Los resultados numéricos se ajustan razonablemente bien a los obtenidos experimentalmente.The cylindrical specimens made of high-ductility metallic materials, such as aluminium and copper, usually fail showing a fracture surface commonly known as cup-cone fracture because of its shape. This type of fracture is successfully reproduced using the Gurson-Tvergaard-Needleman model, which is based on the physical process of nucleation, growth and coalescence of microvoids. Unlike these materials, pearlitic steel bars, which are considerably ductile, show a flat fracture surface that cannot be correctly reproduced with the aforementioned models. In this flat fracture surface, a dark region can be observed in the centre of the specimen, which is the result of a process of nucleation and growth of microvoids, while in the rest of the fracture surface a different region can be identified, which a micrographic study reveals to be the result of a process of cleavage. In previous works, the authors presented a triaxiality-dependent cohesive interface element that, implemented in a finite element code, can reproduce in a reasonably accurate manner the damage that takes place in the dark region mentioned before. The results of an experimental campaign designed to validate the model are presented in this paper. For it, different diameter specimens are tested and these results are compared to those obtained with the numerical models, using three different initial lengths for the strain. Numerical results agree reasonably well with those obtained experimentally.

Experimental and numerical analysis of concrete Slabs subjected to Blast

This paper summarizes the research activities focused on the behaviour of concrete and concrete structures subjected to blast loading carried out by the Department of Materials Science of the Technical University of Madrid (PUM). These activities comprise the design and construction of a test bench that allows for testing up to four planar concrete specimens with one single explosion, the study of the performance of different protection concepts for concrete structures and, finally, the development of a numerical model for the simulation of concrete structural elements subjected to blast. Up to date 6 different types of concrete have been studied, from plain normal strength concrete, to high strength concrete, including also fibre reinforced concretes with different types of fibres. The numerical model is based on the Cohesive Crack Model approach, and has been developed for the LSDYNA finite element code through a user programmed subroutine. Despite its simplicity, the model is able to predict the failure patterns of the concrete slabs tested with a high level of accuracy

Numerical simulation of the transition from densely distributed to localized cracking.

8th International Conference on Fracture Mechanics of Concrete and Concrete Structures (FraMCoS8).

The Cohesive Crack Model Applied To Notched PMMA Specimens Obeying a Non Linear Behaviour Under Torsion Loading

This article presents a new material model developed with the aim of analyzing failure of blunt notched components made of nonlinear brittle materials. The model, which combines the cohesive crack model with Hencky's theory of total deformations, is used to simulate an experimental benchmark carried out previously by the authors. Such combination is achieved through the embedded crack approach concept. In spite of the unavailability of precise material data, the numerical predictions obtained show good agreement with the experimental results.

A novel method for measuring the dynamic fracture-initiation toughness under impulsive loadings

The design and development of a new method for performing fracture toughness tests under impulsive loadings using explosives is presented. The experimental set-up was complemented with pressure transducers and strain gauges in order to measure, respectively, the blast wave that reached the specimen and the loading history. Fracture toughness tests on a 7017-T73 aluminium alloy were carried out by using this device under impulsive loadings. Previous studies reported that such aluminium alloy had very little strain rate sensitivity, which made it an ideal candidate for comparison at different loading rates. The fracture-initiation toughness values of the 7017-T73 aluminium alloy obtained at impulsive loadings did not exhibit a significant variation from the cases studied at lower loading rates. Therefore, the method and device developed for measuring the dynamic fracture-initiation toughness under impulsive loadings was considered suitable for such a purpose

A question mark on iron deficiency in 185 million people of Pakistan: its outcomes and prevention

Micronutrient deficiency especially the iron deficiency is the bane of our lives, affecting all strata of society. Unfortunately, the women during pregnancy, adolescence, and children are under this curse particularly in developing countries like Pakistan. It is one of the biggest reasons of complications during pregnancy and malnourished children under five years of age. Maternal death, still-births, and underweight births are most common consequences of iron deficiency and these outbreaks as iron-deficiency anemia in Pakistan. Disastrous nature of iron deficiency requires an urgent call to eradicate it. Hence, the solution should not be frail comparing with the huge economic loss and other incompatibilities. Flour fortification, supplementation, dietary diversification, and especially maternal education are possible solutions for combating this micronutrient deficiency.

Derechos humanos en Costa Rica

ResumenLa historia de los derechos humanos en Costa Rica muestra una característica muy particular,por cuanto desde mucho antes de haberse promulgado la Declaración Universal de los Derechos Humanos en 1948 ya se daban pasos en su búsqueda. Desde el siglo XlX, aunque fuera de forma clandestina o artesanal, se empezaron a hacer sentir organizaciones y distintas formas de expresión a través de las cuales denunciar las malas condiciones de vida y alcanzar algunos beneficios. En medio de circunstancias adversas y poco apropiadas los movimientos fueron aumentando de intensidad al punto de que ya para 1930 cobran más vigor, lo que se evidencia con un movimiento obrero más organizado y la conformación del Partido Comunista. La lucha por lo que hoy conocemos como derechos humanos logra alcanzar su mayor esplendor en los años de 1940 gracias a las circunstancias coyunturales que favorecieron la presencia de un gobierno reformista como el del presidente Rafael Ángel Calderón Guardia y una activa participación de la Iglesia católica a través de Mons. Víctor Sanabria. De esta forma en Costa Rica se obtuvo el paquete de garantías sociales: un código de trabajo que regulara todo lo pertinenteal trabajo y la seguridad social con la creación de la CCSS. En un tiempo prudencial y con una amplia participación social los y las costarricenses alcanzaron derechos económicos, sociales, políticos y culturales.Palabras clave: derechos humanos, legislación social, código de trabajo, movimiento obrero, Partido Comunista, Iglesia católica.AbstractThe history of Human rights in Costa Rica shows a particular characteristic because long before the promulgation of the Universal Declaration of Human Rights in 1948, steps towards its search were taken in the country. Since the nineteenth century, although in a clandestine or rustic manner, different organizations and forms of expression through which expose the poor conditions of life and reach some benefits began to be felt. In the midst of adverse and inappropriate circumstances, the movements were increasing in intensity to the point that they got stronger by 1930, as evidenced with a more organized labor movement and the formation f the Communist Party. The fight we know today as human rights reaches its greatest prominence in the 1940’s thanks to temporary circumstances favoring the presence of a reformist government as that of President Rafael Angel Calderon Guardia’s, and an active participation of the Catholic Church by Bishop Víctor Sanabria. In this way Costa Rica obtained the social security package: a working code to regulate all matters related to labor and social security with the creation of the CCSS. In an appropriate manner and with broad social participation, costa ricans reached economic, social, political an cultural rights.Keywords: human rights, social legislation, Labor Code, labor movement, the Communist Party, Catholic Church. 

The life of Rev. David Brainerd, chiefly extracted from his diary. By President Edwards. Somewhat abridged. Embracing, in the chronological order, Brainerd's public journal of the most successful year of his missionary labors.

http://www.archive.org/details/lifeofrevdavidbr00braiiala

The life of David Brainerd, missionary to the Indians; with an abridgment of his diary and journal. From President Edwards.

Mode of access: Internet.

Inauguration of David Prescott Barrows as President of the University , Wednesday, March 17 to Tuesday, March 23, 1920.

Mode of access: Internet.

Memoirs of the life of David Rittenhouse, LLD. F.R.S. : late president of the American philosophical society, &c. interspersed with various notices of many distinguished men: with an appendix, containing sundry philosophical and other papers, most of which have not hitherto been published.

Mode of access: Internet.