Related Experiment Video
Updated: Feb 5, 2026
08:12
Depolymerizable Olefinic Polymers Based on Fused-Ring Cyclooctene Monomers
Published on: December 16, 2022
3.9K
A Unified Spatiotemporal Failure Law for Polymer Chains
Yongheng Wang1, Xiangzheng Jia1, Ruixiang Chen1
1Department of Engineering Mechanics, School of Civil Engineering, Wuhan University, Wuhan, Hubei 430072, China.
Nano Letters
|February 3, 2026
Summary
Predicting nanoscale material failure is challenging. A new spatiotemporal failure law for polymer chains unifies time, length, loading, and temperature effects, revealing scale interchangeability for predicting material aging.
Area of Science:
- Materials Science
- Nanotechnology
- Polymer Physics
Background:
- Stochastic material failure, especially at the nanoscale, is difficult to predict.
- Bridging atomic-scale interactions with macroscopic failure is an interdisciplinary challenge.
Purpose of the Study:
- To derive an analytical spatiotemporal failure law for polymer chains.
- To unify the effects of time, length, loading, and temperature on material failure.
- To provide a physics-based framework for predicting material aging and failure.
Main Methods:
- Derivation of an analytical spatiotemporal failure law.
- Validation through extensive atomistic simulations across diverse conditions.
Main Results:
- A universal scaling law for polymer chain survival probability: lnS = (lnS₀/t₀l₀)tl.
- Demonstration of spatiotemporal equivalence in failure statistics.
- Quantification of numerical artifact impacts on failure.
Conclusions:
- The derived law offers a universal framework for understanding and predicting material aging and failure.
- Spatiotemporal scales are interchangeable in governing failure statistics.
- The findings are crucial for the nanotechnology community.
Keywords:
Failure statisticsInteratomic interactionsPhysics-based frameworkSpatiotemporal equivalenceSpatiotemporal failure lawMore Related Videos
Related Concept Videos
02:34Polymers
40.9K
The word polymer is derived from the Greek words “poly” which means “many” and “mer” which means “parts”. Polymers are long chains of molecules composed of repeating units of smaller molecules, known as monomers. They either occur naturally, such as DNA and proteins, or can be constructed synthetically, like plastics. They have varied structural characteristics, such as linear chains, branched chains, or complex networks, that contribute to the...
40.9K
02:31Scientific Laws and Theories
88.7K
Scientific Laws
88.7K
02:38Third Law of Thermodynamics
22.1K
A pure, perfectly crystalline solid possessing no kinetic energy (that is, at a temperature of absolute zero, 0 K) may be described by a single microstate, as its purity, perfect crystallinity,and complete lack of motion means there is but one possible location for each identical atom or molecule comprising the crystal (W = 1). According to the Boltzmann equation, the entropy of this system is zero.
22.1K
02:49Second Law of Thermodynamics
27.1K
In the quest to identify a property that may reliably predict the spontaneity of a process, a promising candidate has been identified: entropy. Processes that involve an increase in entropy of the system (ΔS > 0) are very often spontaneous; however, examples to the contrary are plentiful. By expanding consideration of entropy changes to include the surroundings, a significant conclusion regarding the relation between this property and spontaneity may be reached. In thermodynamic models, the...
27.1K
00:53Second Law of Thermodynamics
68.5K
The Second Law of Thermodynamics states that entropy, or the amount of disorder in a system, increases each time energy is transferred or transformed. Each energy transfer results in a certain amount of energy that is lost—usually in the form of heat—that increases the disorder of the surroundings. This can also be demonstrated in a classic food web. Herbivores harvest chemical energy from plants and release heat and carbon dioxide into the environment. Carnivores harvest the...
68.5K
00:37First Law of Thermodynamics
80.8K
The First Law of Thermodynamics states that energy cannot be created or destroyed, only transformed. This can be demonstrated within a classic food web where light energy from the sun is harnessed as radiant energy by plants, converted into chemical energy, and stored as complex carbohydrates. The vegetation is then consumed by animals and during the digestion process, the sugars release energy as heat. The sugars also produce chemical energy that either gets used up doing work, stored in...
80.8K