Large deformation of cable networks with fiber sliding as a second-order cone programming

• A new model for irreversible large deformations of fiber networks is developed. The fibers are considered as inextensible cables that slide relative to each other in the frictional junctions. This sliding is constituted by a rate-independent flow rule. The nonsmooth dissipation potential for each sliding system is defined as a product of the yield strength and the absolute value of the fiber sliding. The response of the cable segments is nonsmooth as well, since it shows asymmetry with respect to tension and compression. A principle of minimum incremental potential and a pure complementary energy principle are derived for the equilibrium incremental loading of the network at large deformations. They form a pair of primal and dual second-order cone programming problems with matching sets of displacement-based and force-based variables. These problems can be effectively solved by interior point methods that have many advantages compared to the gradient-based methods or dynamic relaxation. The model is extended by a simple mechanism of fiber pull-out resulting from fiber sliding at the free unconstrained ends. This can be used for the microstructural analysis of failure of needle-punched nonwoven materials. 

Subject headings

TEKNIK OCH TEKNOLOGIER  -- Maskinteknik (hsv//swe)

ENGINEERING AND TECHNOLOGY  -- Mechanical Engineering (hsv//eng)

Keyword

Cables

Fibers

Linear programming

Nonwoven fabrics

Cable networks

Complementary energy principles

Dissipation potential

Fiber networks

Fiber sliding

Flow rules

Frictional junction

Larger deformations

Rate independents

Second-order cone programming

Second-order cone programming

Materialteknik

Materials Engineering

Maskinteknik

Mechanical Engineering

Publication and Content Type

ref (subject category)

art (subject category)