The mechanical response of a homogeneous isotropic linearly elastic material can be fully characterized by two physical constants, the Young's modulus and the Poisson's ratio, which can be derived by simple tensile experiments. Any other linear elastic parameter can be obtained from these two constants. By contrast, the physical responses of nonlinear elastic materials are generally described b...

To design more effective tissue-engineered heart valve replacements, the replacement tissue may need to mimic the biaxial stress-strain behavior of native heart valve tissue. This study characterized the planar biaxial properties of tissue-engineered valve leaflets and native aortic valve leaflets. Fibrin-based valve equivalent (VE) and porcine aortic valve (PAV) leaflets were subjected to incr...

In 1984, H.C. Williams introduced a public key cryptosystem whose security is as intractable as factorization. That is, the system is provably as difficult to break as it is to find the factors of the modulus n = pq. By utilizing properties of the Lucas functions, this proposal is the only factorization equivalent scheme that is known which does not impose any restrictions on the primes used in...

While it is well-known that the RSA public-key cryptosystem can be broken if its modulus N can be factored, it is not known whether there are other ways of breaking RSA. This paper presents a public-key scheme which necessarily requires knowledge of the factorization of its modulus in order to be broken. Rabin introduced the first system whose security is equivalent to the difficulty of factori...

The mechanical response of a homogeneous isotropic linearly elastic material can be fully characterised by two physical constants, the Young’s modulus and the Poisson’s ratio, which can be derived by simple tensile experiments. Any other linear elastic parameter can be obtained from these two constants. In contrast, the physical responses of nonlinear elastic materials are generally described b...

We present a robust adaptive beamforming algorithm based on the worst-case criterion and the constrained constant modulus approach, which exploits the constant modulus property of the desired signal. Similarly to the existing worstcase beamformer with the minimum variance design, the problem can be reformulated as a second-order cone (SOC) program and solved with interior point methods. An anal...

We develop a theory of BV and Sobolev Spaces via integration by parts formula in abstract metric spaces; the role of vector fields is played by Weaver’s metric derivations. The definition hereby given is shown to be equivalent to many others present in literature. Introduction In the last few years a great attention has been devoted to the theory of Sobolev spaces W 1,q on metric measure spaces...

rndetermination of rock mass deformation modulus is very important in different projects, especially in civil and mining engineering works. in-situ measurements such as dilatometer, plate load and flat jack methods may be applied to determine the deformation modulus. however, these methods are very expensive and time- consuming. analytical methods are very useful approaches which can also be us...

resilient modulus of pavement materials is a key property required for the pavement thickness design. this paper describes the results of an experimental study on the effects of temperature and loading frequency on the resilient modulus of a sbs polymer modified asphalt concrete under dry and saturated conditions. dynamic creep tests were conducted on dry and saturated specimens of the mixture ...

We present a minimal axion inflation model which can generate a large tensorto-scalar ratio while remaining sub-Planckian. The modulus of a complex scalar field Φ with a λ|Φ|4 potential couples directly to the gauge field of a strongly-coupled sector via a term of the form (|Φ|/MP l)FF̃ . This generates a minimum of the potential which is aperiodic in the phase. The resulting inflation model is ...