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Scipediacontent: Scipediacontent moved page Draft Content 425761672 to Adarraga et al 2018a

2022-03-31T18:34:26Z

Scipediacontent moved page Draft Content 425761672 to Adarraga et al 2018a

Scipediacontent: Created page with "== Abstract == This work shows the analysis of the adherence of a fiber embedded in the matrix by the Stiffness-Force method (SFM) in Finite Elements. The formulation of the..."

2022-03-31T18:34:24Z

Created page with "== Abstract == This work shows the analysis of the adherence of a fiber embedded in the matrix by the Stiffness-Force method (SFM) in Finite Elements. The formulation of the..."

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== Abstract ==

This work shows the analysis of the adherence of a fiber embedded in the matrix by the Stiffness-Force method (SFM) in Finite Elements.
The formulation of the SFM method takes into account not only the equilibrium equations but also the compatibility conditions, obtained from the principles of the virtual work and complementary virtual work.
For the finite element analysis using the SFM method a user subroutine (UEL) of a four node axisymmetric quadrilateral element has been formulated, and has been implemented in the commercial code Abaqus. In a first step the specimen has been analyzed by Abaqus, which uses the stiffness method in its formulation. Then the same model has been analized by the user subroutine which uses the SFM method. Finally, the results obtained by both analysis have been compared with varying degrees of discretization.

== Full document ==
<pdf>Media:Draft_Content_425761672native-articles-173.pdf</pdf>

@@ Line 1: / Line 1: @@
 ==1 Introducción ==
@@ Line 196: / Line 121: @@
-[[Image:Adarraga_et_al_2018a-picture-Lienzo 484.svg|center|260px]]
+[[Image:Adarraga_et_al_2018a-picture-Lienzo 484.svg|center|244x244px]]
 <div class="center" style="width: auto; margin-left: auto; margin-right: auto;">
-<span style="text-align: center; font-size: 75%;">'''Figura 1.''' Elemento cuadrilátero axisimétrico</span></div>
+<span style="text-align: center; font-size: 75%;">'''Figura 1.''' Elemento cuadrilátero axisimétrico.</span></div>
 Como se ha visto en el apartado anterior, para obtener la matriz de rigidez del elemento es necesario calcular previamente las matrices de equilibrio y de flexibilidad.
@@ Line 339: / Line 264: @@
 <div class="center" style="width: auto; margin-left: auto; margin-right: auto;">
-<span style="text-align: center; font-size: 75%;">'''Figura 2.''' Ensayo pull-out de fibra única</span> </div>
+<span style="text-align: center; font-size: 75%;">'''Figura 2.''' Ensayo pull-out de fibra única.</span> </div>
 Para el análisis mediante el método SFM se ha realizado una subrutina de usuario UEL de un elemento cuadrilátero de cuatro nodos axisimétrico, y se ha implementado en el programa comercial Abaqus.

@@ Line 239: / Line 239: @@
 {| style="text-align: center; margin:auto;"
 |-
-| [[Image:Adarraga_et_al_2018a-image8.png|366px]]
+| [[Image:Adarraga_et_al_2018a-image8.png|600px]]
 |}
 | style="width: 5px;text-align: right;white-space: nowrap;" | (18)
 |}
 ==='''3.2''' ===

@@ Line 239: / Line 239: @@
 {| style="text-align: center; margin:auto;"
 |-
-| <math display="inline">\left[B\right]=\frac{1}{4}\left[\begin{array}{cccccccc}
+| [[Image:Adarraga_et_al_2018a-image8.png|366px]]
--\left(1-\eta \right) & 0 & \left(1-\eta \right) & 0 & \left(1+\eta \right) & 0 & -\left(1+\eta \right) & 0\\
-\frac{\left(1-\xi \right)\left(1-\eta \right)}{r_c} & 0 & \frac{\left(1+\xi \right)\left(1-\eta \right)}{r_c} & 0 & \frac{\left(1+\xi \right)\left(1+\eta \right)}{r_c} & 0 & \frac{\left(1-\xi \right)\left(1+\eta \right)}{r_c} & 0\\
-& -\left(1-\xi \right) & 0 & -\left(1+\xi \right) & 0 & \left(1+\xi \right) & 0 & \left(1-\xi \right)\\
--\left(1-\xi \right) & -\left(1-\eta \right) & -\left(1+\xi \right) & \left(1-\eta \right) & \left(1+\xi \right) & \left(1+\eta \right) & \left(1-\xi \right) & -\left(1+\eta \right)
-\end{array}\right]</math>
 |}
 | style="width: 5px;text-align: right;white-space: nowrap;" | (18)