Poisson's Ratio

Poisson's ratio is a dimensionless material property that describes how a solid deforms laterally when stretched or compressed along one axis. It is important because axial loading produces coupled changes in width or thickness, affecting fit, stability, and structural performance. Under uniaxial loading, it is calculated as the negative ratio of transverse strain to axial strain: a positive axial extension normally causes lateral contraction, while an auxetic material can expand laterally and have a negative value. In engineering, Poisson's ratio supports stress-and-strain analysis, material characterization, and numerical modeling, helping predict deformation in components, composites, and structures and select materials for applications requiring controlled stiffness or dimensional stability.

Poisson's Ratio - Related Videos

Education

JoVE Core - Mechanical Engineering

Poisson's Ratio

0 Views •

2024

Poisson's ratio is a material property that indicates their stress response. It explains the connection between the elongation or compression a material undergoes in the direction of an applied force and the contraction or expansion it experiences perpendicular to that force. When a slender bar is loaded axially, it stretches in the direction of the force and contracts laterally. Poisson's ratio is the negative ratio of this lateral contraction to the axial elongation. The negative sign ensures...

Relation between Poisson's ratio, Modulus of Elasticity and Modulus of Rigidity

0 Views •

2024

Deformation occurs in axial and transverse directions when an axial load is applied to a slender bar. This deformation impacts the cubic element within the bar, transforming it into either a rectangular parallelepiped or a rhombus, contingent on its orientation. This transformation process induces shearing strain. Axial loading elicits both shearing and normal strains. Applying an axial load instigates equal normal and shearing stresses on elements oriented at a 45° angle to the load axis.

Poisson Probability Distribution

0 Views •

2023

A Poisson probability distribution is a discrete probability distribution. It gives the probability of a number of events occurring in a fixed interval of time or space if these events happen at a known average rate and independently of the time since the last event. For example, a book editor might be interested in the number of words spelled incorrectly in a particular book. It might be that, on average, there are five words spelled incorrectly in 100 pages. The interval is 100 pages. The...

Poisson's And Laplace's Equation

0 Views •

2025

The electric potential of the system can be calculated by relating it to the electric charge densities that give rise to the electric potential. The differential form of Gauss's law expresses the electric field's divergence in terms of the electric charge density. On the other hand, the electric field is expressed as the gradient of the electric potential. Combining the above two equations, an electric potential is expressed in terms of the electric charge density. This equation is called...

Liquidity Ratios: Current Ratio

0 Views •

2024

Liquidity management involves strategically acquiring and using cash or near-cash resources, such as marketable securities, treasury bills, or short-term deposits, to ensure the company can meet its cash obligations as they come due. The current ratio, calculated by dividing current assets by current liabilities, is a valuable tool for evaluating a company's liquidity. Current assets are resources that can be quickly converted into cash, typically within a year. These include cash, cash...

View All Results

FAQs

Related Topics