Abstract— A classical plane problem of the theory elasticity about a crack in stretched orthotropic elastic unbounded is considered, which leads to singular solution for stresses vicinity edge. The relations generalized elasticity, including small scale parameter, are given. equations higher order than and allow eliminating singularity solution. parameter determined experimentally. results obta...

Abstract— We present an a-posteriori method for computing rigorous upper and lower bounds of the J-integral in two dimensional linear elasticity. The J-integral, which is typically expressed as a contour integral, is recast as a surface integral which yields a quadratic continuous functional of the displacement. By expanding the quadratic output about an approximate finite element solution, the...

The wormlike chain (WLC) model currently provides the best description of double-stranded DNA elasticity for micron-sized molecules. This theory requires two intrinsic material parameters—the contour length L and the persistence length p. We measured and then analyzed the elasticity of double-stranded DNA as a function of L (632 nm–7.03 μm) using the classic solution to the WLC model. When the ...