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1. Quick guide: Character displacement

   Pfennig, D. W. Pfennig (September 2020, Current Biology)

   null (Ed.)

   What is character displacement? Character displacement is trait evolution that arises as a result of natural selection acting to lessen competition between species. 

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2. Environmental Displacement in the Anthropocene

   https://doi.org/10.1080/24694452.2021.1995316  

   Lunstrum, Elizabeth; Bose, Pablo S. (April 2022, Annals of the American Association of Geographers)
3. Constrained Large-Displacement Thermal Analysis

   https://doi.org/10.1115/1.4056182  

   Shabana, Ahmed A.; Elbakly, Mahmoud; Zhang, Dayu (February 2023, Journal of Computational and Nonlinear Dynamics)

   Abstract Two different cases are encountered in the thermal analysis of solids. In the first case, continua are not subject to boundary and motion constraints and all material points experience same displacement-gradient changes as the result of application of thermal loads. In this case, referred to as unconstrained thermal expansion, the thermal load produces uniform stress-free motion within the continuum. In the second case, point displacements due to boundary and motion constraints are restricted, and therefore, continuum points do not move freely when thermal loads are applied. This second case, referred to as constrained thermal expansion, leads to thermal stresses and its study requires proper identification of the independent coordinates which represent expansion degrees-of-freedom. To have objective evaluation and comparison between the two cases of constrained and unconstrained thermal expansion, the reference-configuration geometry is accurately described using the absolute nodal coordinate formulation (ANCF) finite elements. ANCF position-gradient vectors have unique geometric meanings as tangent to coordinate lines, allowing systematic description of the two different cases of unconstrained and constrained thermal expansions using multiplicative decomposition of the matrix of position-gradient vectors. Furthermore, generality of the approach for large-displacement thermal analysis requires using the Lagrange–D'Alembert principle for proper treatment of algebraic constraint equations. Numerical results are presented to compare two different expansion cases, demonstrate use of the new approach, and verify its results by comparing with conventional finite element (FE) approaches. 

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4. Displacement techniques in bounded cohomology

   https://doi.org/10.1007/s00229-024-01604-9  

   Campagnolo, Caterina; Fournier-Facio, Francesco; Lodha, Yash; Moraschini, Marco (April 2025, manuscripta mathematica)

   Abstract Several algebraic criteria, reflecting displacement properties of transformation groups, have been used in the past years to prove vanishing of bounded cohomology and stable commutator length. Recently, the authors introduced the property ofcommuting cyclic conjugates, a new displacement technique that is widely applicable and provides vanishing of the bounded cohomology in all positive degrees and all dual separable coefficients. In this note we consider the most recent along with the by now classical displacement techniques and we study implications among them as well as counterexamples. 

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5. Diameter and displacement of sphere involutions

   https://doi.org/10.21711/231766362023/rmc573  

   Bettiol, Renato; Lauret, Emilio (December 2023, Matemática Contemporânea)