Artículo
Toward a local maximum-entropy material point method at finite strain within a B-free approach
Molinos, Miguel; Martín Stickle, Miguel; Navas, Pedro; Yagüe, Ángel; Manzanal, Diego
; Pastor, Manuel
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Fecha de publicación:
06/2021
Editorial:
John Wiley & Sons Ltd
Revista:
International Journal for Numerical Methods in Engineering
ISSN:
0029-5981
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
The material point method can be regarded as a meshfree extension of the finite element method. This fact has two interesting consequences. On the one hand, this puts a vast literature at our disposal. On the other hand, many of this inheritance has been adopted without questioning it. A clear example of it is the use of the Voigt algebra, which introduces an artificial break point between the formulation of the continuum problem and its discretized counterpart. In the authors' opinion, the use of the Voigt rules leads to a cumbersome formulation where the physical sense of the operations is obscured since the well-known algebra rules are lost. And with them, the intuition about how stresses and strains are related. To illustrate it, we will describe gently and meticulously the whole process to solve the nonlinear governing equations for isothermal finite strain elastodynamics, concluding with a compact set of expressions ready to be implemented effortless. In addition, the classic Newmark- (Formula presented.) algorithm has been accommodated to the local maximum-entropy material point method framework by means of an incremental formulation.
Palabras clave:
B FREE
,
FINITE STRAIN
,
MATERIAL POINT METHOD
,
NEWMARK-Β
,
VOIGT FREE
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Articulos(INTECIN)
Articulos de INST.D/TEC.Y CS.DE LA ING."HILARIO FERNANDEZ LONG"
Articulos de INST.D/TEC.Y CS.DE LA ING."HILARIO FERNANDEZ LONG"
Citación
Molinos, Miguel; Martín Stickle, Miguel; Navas, Pedro; Yagüe, Ángel; Manzanal, Diego; et al.; Toward a local maximum-entropy material point method at finite strain within a B-free approach; John Wiley & Sons Ltd; International Journal for Numerical Methods in Engineering; 122; 20; 6-2021; 5594-5625
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