The phrase "a generic name for" is correct and usable in written English.
It can be used when explaining that a term or label is commonly used to refer to a broader category or type of something.
Example: "The term 'smartphone' is a generic name for mobile devices that combine cellular and computing functions."
Alternatives: "a common term for" or "a general term for".
Chikan Palace is a generic name for a showroom that sells hand-embroidered clothes.
We have adopted Ramon and Rosita as a generic name for all night-club entertainers.
Multichip modules (MCM) is a generic name for a group of advanced interconnection and packaging technologies featuring unpackaged integrated circuits mounted directly onto a common substrate.
(Aspirin was originally a Bayer trade name but is now a generic name for the pain-relieving and fever-reducing compound acetylsalicylic acid).
It has taken a mum to make the dental industry sit up and take notice, and for Brush-Baby to become a generic name for children's dental care.
Try the broodje (a generic name for sandwiches, made with your choice of bread) with avocado, smoked chicken, sun-dried tomatoes and melted brie.
On 31 October 1961, Polydor released the recording "My Bonnie" (Mein Herz ist bei dir nur/My heart is only for you) which appeared on the German charts under the name "Tony Sheridan and the Beat Brothers"—a generic name used for whoever happened to be in Sheridan's backup band.
The biggest offender is the $0.99 iFart Mobile [iTunes link], created by InfoMedia, a generic name great for obscuring its true purpose: corrupting America's youth.
The Molotov cocktail is a term coined by the Finns during the Winter War, as a generic name used for a variety of improvised incendiary weapons.
Propolis is a generic name used for the product that results from the addition of the mandibular secretions of various bee species to resins these insects collect from the buds, flowers and exudates of different plants [ 1].
By a "change of medication" we understand any dosage change (increase or reduction) as well as change to a drug with a different generic name, for example, a change of the type of insulin or an introduction of a new drug.
