We study a class of models for brittle fracture: elastic theory models that allow for cracks but not for plastic flow. We show that these models exhibit, at all finite temperatures, a transition to fracture under applied load similar to the first-order liquid-gas transition. We study this transition at low temperature for small tension. Using the complex variable method in a two-dimensional ela...

We measured the elastic properties and intrinsic breaking strength of free-standing monolayer graphene membranes by nanoindentation in an atomic force microscope. The force-displacement behavior is interpreted within a framework of nonlinear elastic stress-strain response, and yields second- and third-order elastic stiffnesses of 340 newtons per meter (N m(-1)) and -690 Nm(-1), respectively. Th...

Many thin three-dimensional elastic bodies can be reduced to elastic shells: two-dimensional elastic bodies whose reference shape is not necessarily flat. More generally, morphoelastic shells are elastic shells that can remodel and grow in time. These idealized objects are suitable models for many physical, engineering, and biological systems. Here, we formulate a general geometric theory of no...

Even as we probe physics on ever-smaller scales, materials that can be held and manipulated with our hands often still resist our understanding. Elastic materials, in particular, still confound because of the nonlinear relationship between strain and the displacement of the material needed to maintain the rotational invariance of the elastic energy. The effects of these nonlinearities are often...

explosion and fire on an offshore rig can lead to its minor or complete damage and sinking which means the loss of life or environmental pollution. hence the use of techniques such as blast wall is crucial to reduce the detrimental effects. these blast walls are designed for explosion wave of length between 0.1 to 1 of load mainly to protect the personnel and critical sections. in this research...

explosion and fire on an offshore rig can lead to its minor or complete damage and sinking which means the loss of life or environmental pollution. hence the use of techniques such as blast wall is crucial to reduce the detrimental effects. these blast walls are designed for explosion wave of length between 0.1 to 1 of load mainly to protect the personnel and critical sections. in this research...

In this paper the e€ect of ®nite interface strength, and possible debonding, on the macroscopic response of a sample of ®ber-reinforced composite material is computationally investigated via the ®nite element method. The sample consists of several ®bers embedded in a homogeneous matrix, aligned in the longitudinal direction, and randomly distributed in the transverse direction. Plane strain con...

Nonlinear free vibration analysis of double-walled carbon nanotubes (DWCNTs) embedded in an elastic medium is studied in this paper based on classical (local) Euler-Bernoulli beam theory. Using the averaging method, the nonlinear free vibration responses of DWCNTs are obtained. The result is compared with the obtained results from the harmonic balance method for single-walled carbon nanotubes (...