The basal blueprint of peridynamics is the afterward blueprint of motion:
\rho(x)\ddot u(x,t)=\int_R f(u(x',t)-u(x,t),x'-x,x)dV_{x'} + b(x,t)
where x is a point in a physique R, t is time, u is the displacement agent field, and ρ is the accumulation physique in the undeformed body. x' is a copy capricious of integration.
The agent admired action f is the force physique that x' exerts on x. This force physique depends on the about displacement and about position vectors amid x' and x. The ambit of f are force per aggregate squared. The action f is alleged the "pairwise force function" and contains all the basal (material-dependent) properties. It describes how the centralized armament depend on the deformation.
The alternation amid any x and x' is alleged a "bond." The concrete apparatus in this alternation charge not be specified. It is usually affected that f vanishes whenever x' is alfresco a adjacency of x (in the undeformed configuration) alleged the horizon.
Peridynamics-horizon.jpg
The appellation "peridynamic," an adjective, was proposed in the year 2000 and comes from the prefix peri, which agency all around, near, or surrounding; and the basis dyna, which agency force or power. The appellation "peridynamics," a noun, is a beneath anatomy of the byword peridynamic archetypal of solid mechanics.
\rho(x)\ddot u(x,t)=\int_R f(u(x',t)-u(x,t),x'-x,x)dV_{x'} + b(x,t)
where x is a point in a physique R, t is time, u is the displacement agent field, and ρ is the accumulation physique in the undeformed body. x' is a copy capricious of integration.
The agent admired action f is the force physique that x' exerts on x. This force physique depends on the about displacement and about position vectors amid x' and x. The ambit of f are force per aggregate squared. The action f is alleged the "pairwise force function" and contains all the basal (material-dependent) properties. It describes how the centralized armament depend on the deformation.
The alternation amid any x and x' is alleged a "bond." The concrete apparatus in this alternation charge not be specified. It is usually affected that f vanishes whenever x' is alfresco a adjacency of x (in the undeformed configuration) alleged the horizon.
Peridynamics-horizon.jpg
The appellation "peridynamic," an adjective, was proposed in the year 2000 and comes from the prefix peri, which agency all around, near, or surrounding; and the basis dyna, which agency force or power. The appellation "peridynamics," a noun, is a beneath anatomy of the byword peridynamic archetypal of solid mechanics.
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