# Crystal-Inspired metamaterials based on Triply periodic minimal surfaces (TPMS)

Another interesting topic that I learned during my sabbatical in Russia is Metamaterials based on Triply periodic minimal surfaces. For metamaterials, their properties are dependent on their structure rather than on their chemistry. Arsentev, M.; Topalov, E.; Balabanov, S.; Sysoev,… Read More

# Kirchhoff’s Analogy between the Kapitza Pendulum Stability and Buckling of a Wavy Beam under Tensile Loading

Ramachandran, R.; Nosonovsky, M. “Kirchhoff’s Analogy between the Kapitza Pendulum Stability and Buckling of a Wavy Beam under Tensile Loading.” Appl. Mech. 2023, 4, 248-253. https://doi.org/10.3390/applmech4010014 Our paper is about a non-trivial analogy between the stabilization of an inverted pendulum… Read More

# Turing structures and the strongest composite material in the world

High-strength materials that are able to resist impact usually have high hardness and high elastic moduli, facilitating also high speeds of elastic waves (sound), so that resulting shock waves quickly dissipate impact energy. Based on theoretical considerations, there is a… Read More

# Ultrasound phase separation and amazing effects of fast small-amplitude vibrations

The Kapitsa pendulum (an inverted pendulum on a vibrating foundation), which is stabilized due to fast high frequency vibrations of a foundation, is an example of how vibrations can be substituted by an effective force. A mathematical technique of averaging… Read More

# Why mechanics is a fundamental science: can rotational dynamics be deduced from Newton’s laws?

The law of rotational dynamics states that the moment of inertia times the angular acceleration equals the applied torque. This is analogous to the 2nd Newton’s law. But can the former be logically deduced from the latter? The rotational law… Read More

# Why mechanics is a fundamental science: does Statics logically precede Dynamics?

Traditionally, Mechanics is divided into three parts: the Statics (a study of forces without regard of motion), Kinematics (a study of motion regardless forces), and Dynamics (the study of forces and motions in combination). Well, this is a continental classification,… Read More

# Why mechanics is a fundamental science: are Newton’s laws laws of nature?

There is a wide-spread misconception about Newton’s laws of motion. Many people believe that all mechanics can be deduced logically from Newton’s laws in a manner similar to how geometry can be deduced from Euclid’s axioms. This is incorrect. By… Read More

# Mechanics of instabilities, splashes, and Japanese poet Basho

A famous Japanese poem, the “Frog Haiku” composed by Bashô in 1686, says: 古池や 蛙飛び込む 水の音 (“Old pond — a frog jumped in — sound of water”). Splashes of water are fascinating phenomena. An award winning photograph “Milk Drop Coronet”… Read More

# Why mechanics is a fundamental science: a point-mass and a rigid body

Some people state that mechanics is not a fundamental science, but rather an applied discipline. I belong to a school of mechanicians, who would strongly disagree with that assertion. For me, mechanics is a part of physics; however, it has… Read More

# Jamming transitions and friction

Another extremely interesting topic in modern physics, which may be related to the study of friction, is the jamming transition. A granular material can flow through a pipe or it can jam. The transition is abrupt, and some scholars have… Read More

# How did the tower clock work before the pendulum was invented?

This could be a good project for students of dynamics. The tower clock emerges in medieval European cities at about the year 1300 CE: Westminster (1288), Canterbury Cathedral (1292), Salisbury cathedral clock (1306), St. Albans (1326), etc. The pendulum was… Read More

# Hygrocyst – a type of mechanical instability discovered by a UWM collegue 50 years ago

Can you discover a new type of hydrodynamic instability? A UWM colleague from our department, Dr. Robert Balmer, did it almost 50 years ago. The phenomenon is the following: imagine that you have a horizontal pipe partially filled with a… Read More

# Is elastic-plastic a first order phase transition (with a latent heat)?

Among many models which explain the Coulomb-Amontons law of friction, an interesting model is based on the damage rheology. Dr. Vladimir Lyakhovsky, whom I visited recently at the Geological Survey of Israel in Jerusalem, has explained to me the details… Read More