Figure 4 - uploaded by Alfonso Gastelum-Strozzi
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1 shows a homogeneous, isotropic body with surface S and volume V ; a point p inside the volume and a new surface plane S * (cutting plane) passing through the point p are defined inside the object surface.
Source publication
In this work is presented an effcient parallel implementation of a Lagrangian mesh-free method based on the Smoothing Particle Hydrodynamics technique to analyse the behaviour of solids and fluids. The proposed solution makes use of different techniques to improve the computational complexity of the simulation. To improve the performance, a paralle...
Contexts in source publication
Context 1
... forces act only on parts of the body, the surface forces at any point in the body are described through the use of the stress vector. The plane S * cuts the body into two sections, The free body I in Figure 4.2 is defined by selecting the section where the normal n of S * is defined. The point p is used to defined the surface forces F and the stress cause over the surface S * . ...
Context 2
... a surface force ∆F acting over a small surface ∆S * surrounding the point p, the stress vector at the point p on the plane S * is given by Figure 4.2: Continuum volume under load -Using the free body section I, the stress caused by the force ∆fs acting over the surface ∆S * surrounding the point p can be defined. ...
Context 3
... solids under the process of loading and unloading suffer from energy lost or dissipation (hysteresis). Figure 4.5 shows the behaviour of the relation between the stress and strain of a solid material with hysteresis. ...
Context 4
... materials have two main characteristics, stress relaxation and creep. Stress relaxation is the phenomena of stress decreasing over time when the strain is keep constant (Figure 4.6). ...
Context 5
... creep property describes the increase in deformation under a constant stress until an asymptotic level of strain is reached (Figure 4.7). ...
Context 6
... structures contains the necessary information for the SPH solution and a set of memory pointers that are used to store the tree structures and keep the relation between nodes. Each node structure contains a pointer to its parent node and zero or more pointers to the child nodes ( Figure 5.4). Figure 5.4: Node pointer structure -In a tree structure each node has a pointer to the parent node(excluding the top level one) and a pointer to zero or more children. ...
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