Titlebook: Meshless Methods in Biomechanics; Bone Tissue Remodell Jorge Belinha Book 2014 Springer International Publishing Switzerland 2014 Biomechan

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Jorge Belinhately.The book covers a number of important topics in theoretThis article is dedicated to Claudio Bunster on the occasion of his 60th birthday. It is a great honor to take this opportunity to express my gratitude to him, who in my opinion has been the greatest national physicist ever, for his wise gu

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Introduction,tion and the Analysis. All this process is recurrent by nature, always looking for the numerical approach which better reproduces the studied phenomenon. At the present time, there are many numerical methods available and capable to successfully handle the referred bioengineering design process phas

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Solid Mechanics Fundamentals,sition of the used continuum formulation, where the solid kinematics and constitutive equations are shown. Following it is presented the used weak form and the consequent generated discrete equation system. Next, the dynamic analysis equations are presented and transient analysis basic concepts are

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Meshless Methods Introduction,edure. Additionally, it is presented a brief comparison between procedures of the finite element method (FEM) and the meshless method. Afterwards the meshless method nodal connectivity is addressed. Techniques to enforce the nodal connectivity in meshless methods are presented, such as the classic “

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Shape Functions,concept which permits to identify the field nodes contributing to the construction of the shape function. Afterwards, the most popular approximation function is presented: the moving least square (MLS) approximation function. The construction procedure is presented in detail as well as the most impo

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Bone Tissue,the bone tissue local apparent density with the bone tissue local mechanical properties. The mathematical law proposed by the author is presented in detail. This chapter ends with an extensive presentation of the most relevant numerical approaches for the prediction of the bone tissue remodelling. A

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