Rainflow-counting Algorithm
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Rainflow-counting Algorithm
The rainflow-counting algorithm is used in calculating the fatigue (material), fatigue life of a component in order to convert a loading sequence of varying stress (physics), stress into a set of constant amplitude stress reversals with equivalent fatigue damage. The method successively extracts the smaller interruption cycles from a sequence, which models the material memory effect seen with stress-strain hysteresis cycles. This simplification allows the number of cycles until failure of a component to be determined for each rainflow cycle using either Fatigue (material)#Miner's rule, Miner's rule to calculate the ''fatigue damage'', or in a crack growth equation to calculate the crack increments. Both methods give an estimate of the ''fatigue life'' of a component. In cases of multiaxial loading, critical plane analysis can be used together with rainflow counting to identify the uniaxial history associated with the plane that maximizes damage. The algorithm was developed by Tatsu ...
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Materials Science
Materials science is an interdisciplinary field of researching and discovering materials. Materials engineering is an engineering field of finding uses for materials in other fields and industries. The intellectual origins of materials science stem from the Age of Enlightenment, when researchers began to use analytical thinking from chemistry, physics, and engineering to understand ancient, phenomenological observations in metallurgy and mineralogy. Materials science still incorporates elements of physics, chemistry, and engineering. As such, the field was long considered by academic institutions as a sub-field of these related fields. Beginning in the 1940s, materials science began to be more widely recognized as a specific and distinct field of science and engineering, and major technical universities around the world created dedicated schools for its study. Materials scientists emphasize understanding how the history of a material (''processing'') influences its struc ...
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Pagoda
A pagoda is a tiered tower with multiple eaves common to Thailand, Cambodia, Nepal, India, China, Japan, Korea, Myanmar, Vietnam, and other parts of Asia. Most pagodas were built to have a religious function, most often Buddhist, but sometimes Taoist or Hindu, and were often located in or near viharas. The pagoda traces its origins to the stupa, while its design was developed in ancient India. Chinese pagodas () are a traditional part of Chinese architecture. In addition to religious use, since ancient times Chinese pagodas have been praised for the spectacular views they offer, and many classical poems attest to the joy of scaling pagodas. The oldest and tallest pagodas were built of wood, but most that survived were built of brick or stone. Some pagodas are solid with no interior. Hollow pagodas have no higher floors or rooms, but the interior often contains an altar or a smaller pagoda, as well as a series of staircases for the visitor to climb to see the view from a ...
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Fatigue Testing
Fatigue testing is a specialised form of mechanical testing that is performed by applying cyclic loading to a ''coupon'' or structure. These tests are used either to generate fatigue life and crack growth data, identify critical locations or demonstrate the safety of a structure that may be susceptible to fatigue. Fatigue tests are used on a range of components from coupons through to full size test articles such as automobiles and aircraft. Fatigue tests on coupons are typically conducted using servo hydraulic test machines which are capable of applying large ''variable amplitude'' cyclic loads. ''Constant amplitude'' testing can also be applied by simpler oscillating machines. The ''fatigue life'' of a coupon is the number of cycles it takes to break the coupon. This data can be used for creating stress-life or strain-life curves. The rate of crack growth in a coupon can also be measured, either during the test or afterward using fractography. Testing of coupons can also be ...
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Fatigue (material)
In materials science, fatigue is the initiation and propagation of cracks in a material due to cyclic loading. Once a fatigue crack has initiated, it grows a small amount with each loading cycle, typically producing striations on some parts of the fracture surface. The crack will continue to grow until it reaches a critical size, which occurs when the stress intensity factor of the crack exceeds the fracture toughness of the material, producing rapid propagation and typically complete fracture of the structure. Fatigue has traditionally been associated with the failure of metal components which led to the term metal fatigue. In the nineteenth century, the sudden failing of metal railway axles was thought to be caused by the metal crystallising because of the brittle appearance of the fracture surface, but this has since been disproved. Most materials, such as composites, plastics and ceramics, seem to experience some sort of fatigue-related failure. To aid in predicting the f ...
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Tatsuo Endo (engineer)
was a Japanese engineer. In 1968, while a visiting professor at the University of Illinois at Urbana-Champaign, University of Illinois, he developed the rainflow-counting algorithm for fatigue (material), fatigue analysis of structures, along with M. Matsuishi. Bibliography *Matsuishi, M.; Endo, T. (1968). "Fatigue of metals subjected to varying stress". ''Japan Society of Mechanical Engineering''. References

1925 births 1989 deaths Japanese civil engineers Japanese metallurgists University of Illinois Urbana-Champaign faculty Japanese expatriates in the United States {{Japan-engineer-stub ...
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Algorithm
In mathematics and computer science, an algorithm () is a finite sequence of Rigour#Mathematics, mathematically rigorous instructions, typically used to solve a class of specific Computational problem, problems or to perform a computation. Algorithms are used as specifications for performing calculations and data processing. More advanced algorithms can use Conditional (computer programming), conditionals to divert the code execution through various routes (referred to as automated decision-making) and deduce valid inferences (referred to as automated reasoning). In contrast, a Heuristic (computer science), heuristic is an approach to solving problems without well-defined correct or optimal results.David A. Grossman, Ophir Frieder, ''Information Retrieval: Algorithms and Heuristics'', 2nd edition, 2004, For example, although social media recommender systems are commonly called "algorithms", they actually rely on heuristics as there is no truly "correct" recommendation. As an e ...
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