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Strain energy release (Irwin's modification for plane strain)

A fracture is the separation of an object or material into two, or more, pieces under the action of stress.There are three ways of applying a force to ... more

Maximum Spring Force (Fully Compressed)

A spring is an elastic object used to store mechanical energy. Springs are usually made out of spring steel. Small springs can be wound from pre-hardened ... more

Poisson's Ratio

Poisson’s ratio, named after Siméon Poisson, is the negative ratio of transverse to axial strain. When a material is compressed in one direction, it ... more

Elastic modulus of a contact area between a sphere and an elastic half-space

Contact mechanics is the study of the deformation of solids that touch each other at one or more points. Hertzian contact stress refers to the localized ... more

Shear modulus (related to Young's modulus and Poisson's ratio)

The shear modulus is one of several quantities for measuring the stiffness of materials and describes the material’s response to shear stress (like ... more

Critical Buckling Stress of a Column with Buckling Coefficient

Column or pillar in architecture and structural engineering is a structural element that transmits, through compression, the weight of the structure above ... more

Micro chevron (MC) test (critical energy release rate)

The wafer bond characterization is based on different methods and tests. Wafer bonds are commonly characterized by three important encapsulation ... more

Relation among Young's modulus, Bulk modulus and Poisson's ratio

For homogeneous isotropic materials simple relations exist between elastic constants (Young’s modulus E, bulk modulus K, and Poisson’s ratio ν) ... more

Transverse wave velocity (shear wave)

A transverse (shear) wave is a moving wave that consists of oscillations occurring perpendicular (or right angled) to the direction of energy transfer. For ... more

Longitudinal waves velocity (compressional waves)

Longitudinal waves, are waves in which the displacement of the medium is in the same direction as, or the opposite direction to, the direction of travel of ... more

Indicated airspeed (IAS) - compressible fluid

Indicated airspeed (IAS) is the airspeed read directly from the airspeed indicator (ASI) on an ... more

Shear coefficient (For solid circular cross-section beam)

Timoshenko beam model takes into account shear deformation and rotational inertia effects, making it suitable for describing the behavior of short sandwich ... more

Shear coefficient (For solid rectangular cross-section beam)

Timoshenko beam model takes into account shear deformation and rotational inertia effects, making it suitable for describing the behavior of short sandwich ... more

Total force on a contact area between a rigid conical indenter and an elastic half-space related to the contact radius

Contact mechanics is the study of the deformation of solids that touch each other at one or more points. Hertzian contact stress refers to the localized ... more

Total force on a contact area between a rigid conical indenter and an elastic half-space related to the total depth

ontact mechanics is the study of the deformation of solids that touch each other at one or more points. Hertzian contact stress refers to the localized ... more

Logarithm of the odds ratio

The logit function is the inverse of the sigmoidal “logistic” function or logistic transform used in mathematics, especially in statistics. ... more

Critical Buckling Compressive Loading of a Plate

In science, buckling is a mathematical instability that leads to a failure mode.

When a structure is subjected to compressive stress, buckling may ... more

Speed of Sound in Solids - long rods

The speed of sound is the distance travelled per unit of time by a sound wave propagating through an elastic medium.
The speed of sound for ... more

Beta distribution (variance)

In probability theory and statistics, the beta distribution is a family of continuous probability distributions defined on the interval [0, 1] parametrized ... more

Cauchy–Lorentz distribution (probability density function)

In probability and statistics,the Cauchy distribution, is a continuous probability distribution. The probability density function (pdf), or density of a ... more

Cauchy–Lorentz standar distribution ( probability density function)

In probability and statistics,the Cauchy distribution, is a continuous probability distribution. It is the distribution of a random variable that is the ... more

Binomial distribution

Binomial distribution, with parameters n and p, is the discrete probability distribution of the number of successes in a sequence of n independent yes/no ... more

Gamma distribution (Excess kurtosis)

In probability theory and statistics, the gamma distribution is a two-parameter family of continuous probability distributions. The common exponential ... more

Gamma distribution (Skewness)

In probability theory and statistics, the gamma distribution is a two-parameter family of continuous probability distributions. The common exponential ... more

Weibull Distribution

In probability theory and statistics, the Weibull distribution is a continuous probability distribution. By the probability density function of a Weibull ... more

Gamma distribution Mean (With a shape parameter k and a scale parameter θ)

In probability theory and statistics, the gamma distribution is a two-parameter family of continuous probability distributions. The parameterization with k ... more

Beta distribution (Skewness, with terms of shape parameters)

In probability theory and statistics, the beta distribution is a family of continuous probability distributions defined on the interval [0, 1] parametrized ... more

Gamma distribution Mean (With a shape parameter α and a rate parameter β )

In probability theory and statistics, the gamma distribution is a two-parameter family of continuous probability distributions. The parameterization with α ... more

Beta distribution (probability density function)

In probability theory and statistics, the beta distribution is a family of continuous probability distributions parametrized by two positive shape ... more

Doppler effect ( general equation)

The Doppler effect is the change in frequency of a wave (or other periodic event) for an observer moving relative to its source. When the speeds of source ... more

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